BADM 305 Chapter 1,2,3,4

Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For the spring, she is planning to make baskets, eggs, and rabbits. Based on your discussion with your aunt you construct the following table: Aunt Anastasia feels that her prices are too low, particularly for her eggs. How much would her profit have to increase on the eggs before it is profitable for her to make and sell eggs? $1.00 $0.50 $2.50 $1.50

$1.00

Given the following linear program that maximizes revenue: What is the maximum revenue at the optimal solution? $160 $185 $120 $200

$160

Cars arrive at a single-bay car wash at an average of 6 per hour according to the Poisson distribution. The wash time is a constant 4 minutes. What is the average number of cars in line? .667 .267 .022 .133

.133

Binary variables are: 0 or 1 only. any integer value. any negative integer value. any continuous value.

0 or 1 only.

If the probability of an event is 0.36, what random number range specifies this properly? 0.30 - 0.40 0.10 - 0.20 0.40 - 0.50 0.20 - 0.30

0.30 - 0.40

In adjusted exponential smoothing, the closer beta is to ________, the stronger a trend is reflected. -1 or 1 0 1 -1

1

Poultry Processing processes chickens for fast food restaurants. The chickens arrive from the farms on trucks, in cages, at a rate of 8 trucks per hour according to the Poisson distribution. The quality standards of Poultry Processing require that the chickens be processed within 30 minutes, which includes the time from when the trucks arrive until the chickens are finished processing. What is the minimum average processing rate (in truckloads per hour) that must be designed for the machine in order to ensure that the cages will be processed, on the average, in 30 minutes or less? Assume processing time is exponentially distributed. 10 trucks per hour 18 trucks per hour 4.5 trucks per hour 9 trucks per hour

10 trucks per hour

Determine the maximal flow through the network in Figure 4. Assume that all branches are directed branches. 13 10 16 11

13

Llamas are pack animals and the owner occasionally has them tote supplies from the fruit trees down to the hay stand. What is the shortest route between the two? 155' 160' 165' 150'

155

Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame: Use a 2-period moving average to forecast demand for period 7. 275 290 280 227.5

290

A rendering plant wishes to use the data (sales records from a few local businesses and the month of the year) to help determine their supply level for the coming months. The records shown in the table provide an excellent opportunity for you to assist them with their forecasting. What is the three-period weighted moving average for July using the weights 0.5 (most recent), 0.3, and 0.2? 45.6 48.99 49.51 46.09

45.6

The production manager for the Coory soft drink company is considering the production of two kinds of soft drinks: regular and diet. Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. Which of the following is not a feasible production combination? A 40R and 100D B 90R and 75D C 135R and 0D D 75R and 90D

75R and 90D

In a transshipment problem, items may be transported: from destination to destination. from one transshipment point to another. directly from sources to destinations. All of these

All of these

The term big data refers to numbers of large magnitude, i.e., greater than or equal to one billion. A TRUE B FALSE C D

False

The following is a graph of a linear programming problem. The feasible solution space is shaded, and the optimal solution is at the point labeled Z*. Which of the following points is not feasible? A; A B; B C; H D; G

G

The college director of global activities was hopeful that the print ads in the school newspaper and 30 second spots on the campus radio station would spur some interest in the array of study tour and study abroad options he had secured. The communications director for the college had other ideas; she favored a social media campaign consisting of tweets and facebook postings. "This is the most ridiculous thing I ever heard of," he whined to the dean. The advertising budget is $3500, but there is no requirement that all the money be spent. The newspaper has only four issues before the end of the semester, but the radio is a 24/7 operation and has two dozen 30 second slots available. Facebook postings must be alternated with the rest of the mindless drivel posted on the college page; thus there is space for only three postings before the end of the semester. Twitter is complicated by the 140 character requirement. The communications director feels she needs five tweets to convey a single message about tours and semesters abroad, so for one message, the cost would be $25 for each of the five components of the single ad. Due to thumb fatigue, she feels that she has only 2800 characters left in her thumbs before the end of the semester. (A side note - During the intersession period, she plans to embark on a strict regimen of thumb yoga to prepare for the coming semester.) How should the entry for the Newspaper decision variable be interpreted? It is possible to reach an almost infinite fewer number (10 to the 30th power) of customers by newspaper than by any other method. The director should lower the newspaper advertising expense by $1,000 to reach the objective of 5,000 customers contacted. If the director were forced to purchase a newspaper advertisement, he would reach 1000 fewer customers than would be reached using the optimal advertising campaign. If the director increased newspaper advertisement by 1,000, he would spend $1000 less than with the current campaign.

If the director were forced to purchase a newspaper advertisement, he would reach 1000 fewer customers than would be reached using the optimal advertising campaign.

________ involves determining the functional relationship between variables, parameters, and equations. A Model construction B Model solution C Problem observation D Problem definition

Model construction

The department chair reviewed last year's schedule, the degree requirements for the ever popular Operations and Supply Chain major, and the emails that had drifted into her mailbox over the last week. Naturally, every professor in the department had his own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all costs. In an effort to placate the senior faculty members of the department, the chair sent an email asking them to supply the prep time for each of the classes they were qualified to teach, promising to assign them the least taxing schedule possible. Each of her department members had to teach at least two courses, but no more than three. The elective courses, Project Management, Quality Management, Control and Planning, Logistics, and Management Science each had to be offered once and the department needed to offer at least six sections of the Introduction to Operations class. The prep times each professor estimated for each course appear in the table below. Copied below is a portion of the answer report that shows the constraints related to the faculty assignment. Which of these statements is best according to the answer report? Tim is assigned to teach two courses. David is assigned to teach Management Science. Geoff is assigned to teach Introduction to Operations. Saba is assigned to teach two courses.

Tim is assigned to teach two courses.

________ methods assume that what has occurred in the past will continue to occur in the future. Regression Time series Qualitative Quantitative

Time series

Parameters are known, constant values that are usually coefficients of variables in equations. A: TRUE B: FALSE C: D:

True

In a balanced transportation model where supply equals demand: at a minimum profit. at a minimum cost. at a maximum cost. at a minimum revenue.

all constraints are equalities.

In a multiperiod scheduling problem, the production constraint usually takes the form of: beginning inventory - demand + production = ending inventory. beginning inventory + demand - production = ending inventory. beginning inventory + demand + production = ending inventory. Correct beginning inventory - demand + production = ending inventory. beginning inventory - ending inventory + demand = production.

beginning inventory - demand + production = ending inventory.

The indicator that results in total revenues being equal to total cost is called the: A break-even point. B profit mix. C marginal volume. D marginal cost.

break-even point.

Taco Loco is considering a new addition to their menu. They have test marketed a number of possibilities and narrowed them down to three new products, X, Y, and Z. Each of these products is made from a different combination of beef, beans, and cheese, and each product has a price point. Taco Loco feels they can sell an X for $17, a Y for $13, and a Z for $14. The company's management science consultant formulates the following linear programming model for company management. The local cheese vendor offers to sell Taco Loco 200 pounds of cheese for these three products. Taco Loco should: buy at least 126 pounds of cheese for $5.33 or less. refuse to buy any cheese. buy less than 80 pounds of cheese for $1.45 per pound. buy 46 pounds or less of cheese for $1.45 or less.

buy 46 pounds or less of cheese for $1.45 or less.

The field of management science A: is completely separate and distinct from all other disciplines. B:is another name for management or human resources management. C:approaches decision making irrationally with techniques based on the scientific method. D:concentrates on the use of quantitative methods to assist managers in decision making.

concentrates on the use of quantitative methods to assist managers in decision making

A ________ is an up-and-down repetitive movement that repeats itself over a time span of more than 1 year. seasonal pattern trend prediction cyclical pattern

cyclical trend

Coefficient of determination is the percentage of the variation in the ________ variable that results from the ________ variable. dependent, dependent dependent, independent independent, independent independent, dependent

dependent, independent

A technique that assumes certainty in its solution is referred to as: A.stochastic B. parametric. C. probabilistic D. deterministic.

deterministic

A table of random numbers must be: in descending order. normally distributed. efficiently generated. in ascending order.

efficiently generated.

A slack variable: A is the difference between the left and right side of a constraint. B is the amount by which the left side of a ≥ constraint is larger than the right side. C is the amount by which the left side of a ≤ constraint is smaller than the right side. D exists for each variable in a linear programming problem.

is the amount by which the left side of a ≤ constraint is smaller than the right side.

Linear mathematical programming techniques assume that all parameters in the models are: A:known with certainty. B:unknown. C:unpredictable. D:predictable.

known with certainty.

In a finite queue, the length of the queue is: limited or unlimited. limited. unlimited. limited and unlimited.

limited.

A limitation of simulation is that: model building is costly and time-consuming. models are typically well-structured and must be developed for problems that are also well-structured. it is usually possible to realistically validate simulation results. it is more difficult to manipulate the elements of a computer simulation than the actual syste

model building is costly and time-consuming.

The ________ process is analogous to gambling devices. Simulation Monte Carlo Monaco None of these

monte carlo

________ is a technique for selecting numbers randomly from a probability distribution. Monaco Analogue simulation Marseille Monte Carlo

monte carlo

If we are solving a 0-1 integer programming problem, the constraint x1 + x2 ≤ 1 is a ________ constraint. corequisite multiple-choice Correct mutually exclusive conditional

mutually exclusive

A seed value is a(n): steady state solution of a simulation experiment. first run of a simulation model. number used to start a stream of random numbers. analytic solution of a simulation experiment.

number used to start a stream of random numbers.

The steps of the management science process are A: observation, implementation, problem definition, model construction, model solution. B: observation, problem definition, model construction, model solution, implementation. C: problem definition, model construction, observation, model solution, implementation. D: model construction, problem definition, observation, model solution, implementation.

observation, problem definition, model construction, model solution, implementation

Consider the following maximization problem. The optimal solution: A occurs where x = 4.67 and y = 1.11. B occurs where x = 6 and y = 0. C results in an objective function value of 12. D occurs where x = 0 and y = 2

occurs where x = 0 and y = 2.

Simulations are normally done: manually. by a spreadsheet. on the computer. in a casino.

on the computer

Simulation does not usually provide recommended decisions. Instead it provides: optimal solutions. system parameters. realistic results. operating characteristics.

operating characteristics

An important factor to consider in analyzing a queuing system is the: queue structure. cost. queue discipline. queue order.

queue discipline

Developing the cumulative probability distribution helps to determine: random number ranges. data sets. mean of the distribution. simulation numbers.

rand number ranges

The arrival rate is the: time a customer spends in line. rate items arrive at the server after being in queue. time between arrivals to the service facility. rate of arrivals to the service facility.

rate of arrivals to the service facility.

For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs. and the range of feasibility (sensitivity range) for this constraint is from 3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the: same product mix, different total profit. same product mix, same total profit. different product mix, same total profit as before. different product mix, different total profit.

same product mix, different total profit.

In the Monte Carlo process, values for a random variable are generated by ________ a probability distribution. integrating sampling from running implementing

sampling from

The shipping company manager wants to determine the best routes for the trucks to take to reach their destinations. This problem can be solved using the: minimal flow solution method. maximal flow solution method. minimal spanning tree solution method. shortest route solution technique.

shortest route solution technique.

The linear programming model for a transportation problem has constraints for supply at each ________ and ________ at each destination. 4DF 600D 9EG 3CE

source, demand

If we wanted to represent an urban transportation system as a network flow problem, which of the following would be represented as nodes? pedestrian right of ways street intersections streets railway lines

street intersections

A shadow price reflects which of the following in a maximization problem? the marginal gain in the objective that would be realized by adding one unit of a resource the marginal gain in the objective that would be realized by subtracting one unit of a resource the marginal cost of adding additional resources the marginal gain of selling one more unit

the marginal gain in the objective that would be realized by adding one unit of a resource

Compared to blending and product mix problems, transportation problems are unique because: the solution values are always integers. the constraints are all equality constraints with no "≤" or "≥" constraints. they contain fewer variables. they maximize profit.

the solution values are always integers.

In a ________ integer model, all decision variables have integer solution values. total 0-1 mixed All of these

total

A croissant shop produces two products: bear claws (B) and almond-filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS of almond paste. An almond-filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 TS of almond paste available for today's production run. Bear claw profits are 20 cents each, and almond-filled croissant profits are 30 cents each. What is the optimal daily profit? $440 $420 $380 $400

$380

Cully Furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75,000 to invest in shelves this week, and the warehouse has 18,000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. What is the maximum profit? A$55,000 B$45,000 C$35,000 D$65,000

$45,000

The production manager for Beer etc. produces two kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. The manager can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week, respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. What is the optimal weekly profit? $800 $900 $1000 $700

$800

What is the 95% confidence interval width for a sample with a mean of 50 and a standard deviation of 14 based on 75 observations? (46.83, 53.17) (48.22, 51.78) (40.67, 59.32) (44.13, 55.87)

(46.83, 53.17)

Cars arrive at a single-bay car wash at an average of 6 per hour according to the Poisson distribution. The wash time averages 4 minutes with a standard deviation of 1 minute, but the wash time is not defined by any distribution. What is the average number of cars in line? .267 .283 .142 2.83

.142

What is the seasonal index for the fourth quarter? (Round to the nearest hundredth.) .25 .30 .23 .20

.25

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. The probability that the system is idle is: .20. .60. 0. .40.

.40.

Taco Loco is considering a new addition to their menu. They have test marketed a number of possibilities and narrowed them down to three new products, X, Y, and Z. Each of these products is made from a different combination of beef, beans, and cheese, and each product has a price point. Taco Loco feels they can sell an X for $17, a Y for $13, and a Z for $14. The company's management science consultant formulates the following linear programming model for company management. The optimal quantity of the three products and resulting revenue for Taco Loco is: 10.22 beef, 5.33 cheese, and 28.73 beans for $147.27. 28 beef, 80 cheese, and 39.27 beans for $147.27. 14 Z, 13 Y, and 17 X for $9.81. Correct 1.45 Z, 8.36 Y, and 0 Z for $129.09.

1.45 Z, 8.36 Y, and 0 Z for $129.09.

Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. How many constraints are required to model this as a linear program? 12 10 8 9

10

After months of broken promises, partial payments, and general stupidity, the landlord had no choice but to evict the long term tenants that had become little more than squatters in his first rental property. As he surveyed the damage and pondered a mix of repairs an upgrades, he scoured the latest statistics on what different upgrades might be worth in terms of increased rent. Beautifully refinished wood floors could increase the monthly rent about $100 and an upgrade to the kitchen would fetch $80 per month. The garage door needed replacement, but even though it would receive daily use, it was almost an order qualifier, and wouldn't net more than $20 per month. The house had always suffered from lack of a back door&8211;you had to access the backyard through the garage, so taking out a window and replacing it with a safety door would cost $250 and add only $15 to the monthly rent. The garage door would cost $350, the kitchen update would cost $1000 if he went with granite, and the floor refinish job would cost $400 to rent the buffer and buy the chemicals. It wouldn't be easy doing these upgrades; the garage door would take a half week, the back door one week, the floors two weeks and the tile three weeks. What should the objective function be? Min Z = 2700x1 + 400x2 + 2500x3 + 1000x4 + 600x5 + 250x6 + 350x7 + 400x8 Min Z = 2700x1 - 400x2 + 2500x3 - 1000x4 + 600x5 - 250x6 + 350x7 - 400x8 Max Z = 100x1 - 100x2 + 80x3 - 80x4 + 15x5 - 15x6 + 20x7 - 20x8 Correct Max Z = 100x1 + 100x2 + 80x3 + 80x4 + 15x5 + 15x6 + 20x7 + 20x8

100x1 + 100x2 + 80x3 + 80x4 + 15x5 + 15x6 + 20x7 + 20x8

Taco Loco is considering a new addition to their menu. They have test marketed a number of possibilities and narrowed them down to three new products, X, Y, and Z. Each of these products is made from a different combination of beef, beans, and cheese, and each product has a price point. Taco Loco feels they can sell an X for $17, a Y for $13, and a Z for $14. The company's management science consultant formulates the following linear programming model for company management. Taco Loco is unsure whether the amount of beef that their computer thinks is in inventory is correct. What is the range in values for beef inventory that would not affect the optimal product mix? 12.22 to 28 pounds 17.78 to 30 pounds 27.55 to 28.45 pounds 26 to 38.22 pounds

17.78 to 30 pounds

Which of the following could not be a linear programming problem constraint? A 1A + 2B ≤ 3 B 1A + 2B ≠ 3 C 1A + 2B ≥ 3 D 1A + 2B = 3

1A + 2B ≠ 3

A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 7 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. Determine the average time that a snowplow is out of service 20 minutes .19 days .33 hours 2.64 hours

2.64 hours

A bakery is considering hiring another clerk to better serve customers. To help with this decision, records were kept to determine how many customers arrived in 10-minute intervals. Based on 100 10-minute intervals, the following probability distribution and random number assignments developed. 22 23 24 25

24

Administrators at a university will charge students $150 to attend a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials. How many students would have to register for the seminar for the university to break even? A 24 B 18 C 20 D 30

24

The horse decides that a small system of trails would be perfect for connecting his points of interest, the Grass, Barn, Hay and Pond along with the Oak. What is the minimal total path length for this construction project? 290' 295' 270' 280'

270

The llamas decide that a small system of trails would be perfect for connecting their points of interest, the Fruit, Barn, Hay, Shade, Pond and the Oak. What is the minimal total path length for this construction project? 275' 270' 260' 265'

270

Taco Loco is considering a new addition to their menu. They have test marketed a number of possibilities and narrowed them down to three new products, X, Y, and Z. Each of these products is made from a different combination of beef, beans, and cheese, and each product has a price point. Taco Loco feels they can sell an X for $17, a Y for $13, and a Z for $14. The company's management science consultant formulates the following linear programming model for company management. How many pounds of beans will Taco Loco have left over if they produce the optimal quantity of products X, Y, and Z? 0 1E+30 28.73 39.27

28.73

The production manager for the Coory soft drink company is considering the production of two kinds of soft drinks: regular (R) and diet(D). Two of the limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What is the time constraint? A 2D + 4R ≤ 480 B 2R + 4D ≤ 480 C 2R + 3D ≤ 480 D 3R + 2D ≤ 480

2R + 4D ≤ 480

The production manager for Beer etc. produces two kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. The manager can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week, respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. Which of the following is not a feasible solution? 0 L and 400 D 0 L and 0 D Correct 300 L and 200 D 200 L and 300 D

300 L and 200 D

A baker uses organic flour from a local farmer in all of his baked goods. For each batch of bread (x1), he uses 4 pounds of flour. For a batch of cookies (x2), he uses 3 pounds, and for a batch of muffins (x3) he uses 2 pounds. The local farmer can supply him with no more than 24 pounds per week. The constraint that represents this condition is: A 4x1 + 3x2 + 2x3 ≤ 24. B x1 + x2 + x3 ≥ 24. C x1 ≤ 8, x2 ≤ 8, x3 ≤ 8. D x1 + x2 + x3 ≤ 24.

4x1 + 3x2 + 2x3 ≤ 24.

The college director of global activities was hopeful that the print ads in the school newspaper and 30 second spots on the campus radio station would spur some interest in the array of study tour and study abroad options he had secured. The communications director for the college had other ideas; she favored a social media campaign consisting of tweets and facebook postings. "This is the most ridiculous thing I ever heard of," he whined to the dean. The communications director's market research revealed the following: The advertising budget is $3500, but there is no requirement that all the money be spent. The newspaper has only four issues before the end of the semester, but the radio is a 24/7 operation and has two dozen 30 second slots available. Facebook postings must be alternated with the rest of the mindless drivel posted on the college page; thus there is space for only three postings before the end of the semester. Twitter is complicated by the 140 character requirement. The communications director feels she needs five tweets to convey a single message about tours and semesters abroad, so for one message, the cost would be $25 for each of the five components of the single ad. Due to thumb fatigue, she feels that she has only 2800 characters left in her thumbs before the end of the semester. (A side note - During the intersession period, she plans to embark on a strict regimen of thumb yoga to prepare for the coming semester.) Which of these is an appropriate constraint for this scenario? 5,000N + 3,000R + 700T + 200F ≤ 3,500 500N + 250R + 125T + 15F ≤ 3,500 T ≤ 2,800 N + R + T + F ≥ 36

500N + 250R + 125T + 15F ≤ 3,500

Captain Stubing of The Pacific Princess seeks to maximize the return for their scheduled 14 day tour of Europe and has a number of options available to him. He can ply his guests with alcohol, upsell them on fancier restaurant fare or include more expensive excursion options. These alternatives are not without tradeoffs, since different guests prefer different options, depending largely on their age and wherewithal. Among the limitations Captain Stubing must consider is the number of excursions; they must offer at least five alternatives per day for each the ten days they will reach port. In addition, the restaurant choices must exceed 12 major styles of cuisine and the bar themes down in The Grotto should rotate every other day for the 14 days. It's possible to rotate them twice a day, but any more than that and poor Isaac spends more time tearing down and setting up than he does mixing libations. Ideally, there should be at least one different bar theme for every cuisine type. The total budget for excursions, restaurants and bar has been set by the parent company at $150,000. It costs $1,500 to stock supplies for a major cuisine category, it costs $5,000 to include each different excursion, and it costs $900 to set up with a different bar theme. Based on historical data, Captain Stubing believes that each new bar setup will generate $1,500 profit, each new cuisine type will bring in $5,000, and each excursion type will generate $17,000 for the ship. What is the appropriate constraint for the budget? 1 Bar + 1 Food + 1 Excursion ≤ 150,000 900 Bar + 1500 Food + 5,000 Excursion ≤ 150,000 1,500 Bar + 5,000 Food + 17,000 Excursion ≤ 150,000 7 Bar + 12 Food + 5 Excursion ≤ 150,000

900 Bar + 1500 Food + 5,000 Excursion ≤ 150,000

Balanced transportation problems have which of the following type of constraints? ≤ ≥ < =

=

Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Which of these constraints allows for some inventory to be held at one of the crossdock facilities? AD + BD + CD - DF - DG - DH = 600 AD + BD + CD + DF + DG + DH = 600 AD + BD + CD - DF - DG - DH ≥ 0 AD + BD + CD = DF - DG - DH = 600

AD + BD + CD - DF - DG - DH ≥ 0

In the linear programming formulation of a transportation network: there is one variable for each arc. there is one constraint for each node. the sum of variables corresponding to arcs out of an source node is constrained by the supply at that node. All of these

All of these

Cully Furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75,000 to invest in shelves this week, and the warehouse has 18,000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. In order to maximize profit, how many big shelves (B) and how many medium shelves (M) should be purchased? A B = 100, M = 100 B B = 90, M = 75 C B = 0, M = 200 D B = 150, M = 0

B = 150, M = 0

Captain Stubing of The Pacific Princess seeks to maximize the return for their scheduled 14 day tour of Europe and has a number of options available to him. He can ply his guests with alcohol, upsell them on fancier restaurant fare or include more expensive excursion options. These alternatives are not without tradeoffs, since different guests prefer different options, depending largely on their age and wherewithal. Among the limitations Captain Stubing must consider is the number of excursions; they must offer at least five alternatives per day for each the ten days they will reach port. In addition, the restaurant choices must exceed 12 major styles of cuisine and the bar themes down in The Grotto should rotate every other day for the 14 days. It's possible to rotate them twice a day, but any more than that and poor Isaac spends more time tearing down and setting up than he does mixing libations. Ideally, there should be at least one different bar theme for every cuisine type. The total budget for excursions, restaurants and bar has been set by the parent company at $150,000. It costs $1,500 to stock supplies for a major cuisine category, it costs $5,000 to include each different excursion, and it costs $900 to set up with a different bar theme. Based on historical data, Captain Stubing believes that each new bar setup will generate $1,500 profit, each new cuisine type will bring in $5,000, and each excursion type will generate $17,000 for the ship. Here's a lovely portion of the sensitivity report for the constraints. Which of these conclusions is reasonable? The value for Restaurant will rise by $1,660 for each additional cuisine required. Captain Stubing should exhaust his Budget. There is no Bar or Food being used. Captain Stubing is scheduling more Excursions than he should be.

Captain Stubing should exhaust his Budget.

________ is the percentage of the variation in the dependent variable that results from the independent variable. Correlation Coefficient of determination Linear regression Regression

Coefficient of determination

A graduate research assistant "moonlights" at the short order counter in the student union snack bar in the evenings. He is considering asking for help taking orders, but needs to convince the management that they should hire another student. Because he is taking a simulation class, he thinks it may be the perfect way to convince management to hire more help if he can show that customers have to wait a long time. When a customer arrives, he takes their order and their payment, prepares the food, gives it to the customer, and then takes the order from the next person in line. If someone arrives while he's cooking an order, they have to wait until he's completed the current order. He has simulated 5 orders. Average customer waiting time is: 2 minutes. 1 minute. 2.5 minutes. 3 minutes.

Correct 1 minute.

______ is a measure of the strength of the relationship between independent variable(s) and a dependent variable. Linear regression Coefficient of determination Regression Correlation

Correlation

Yowzah Bids Yowzah receives bids from four companies we'll call A, B, C, and D to supply product for the coming year. Renee DeCartes, the Yowzah VP of Plotting takes the bids and creates this graph to bring to the next executive meeting. The company with the lowest variable cost is: A: D B: A C: B D C

D.

The department chair reviewed last year's schedule, the degree requirements for the ever popular Operations and Supply Chain major, and the emails that had drifted into her mailbox over the last week. Naturally, every professor in the department had his own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all costs. In an effort to placate the senior faculty members of the department, the chair sent an email asking them to supply the prep time for each of the classes they were qualified to teach, promising to assign them the least taxing schedule possible. Each of her department members had to teach at least two courses, but no more than three. The elective courses, Project Management, Quality Management, Control and Planning, Logistics, and Management Science each had to be offered once and the department needed to offer at least six sections of the Introduction to Operations class. The prep times each professor estimated for each course appear in the table below. David is qualified to teach Management Science, but has misplaced his slide rule and doesn't feel he can complete the necessary calculations if he is assigned to teach it next semester. Which of these constraints would ensure that he isn't the instructor? DM = 0 DI + DP + DQ + DC + DL ≥ 2 SM + GM + TM + DM ≤ 1 DI + DP + DQ + DC + DL + DM ≤ 3

DM = 0

The department chair reviewed last year's schedule, the degree requirements for the ever popular Operations and Supply Chain major, and the emails that had drifted into her mailbox over the last week. Naturally, every professor in the department had his own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all costs. In an effort to placate the senior faculty members of the department, the chair sent an email asking them to supply the prep time for each of the classes they were qualified to teach, promising to assign them the least taxing schedule possible. Each of her department members had to teach at least two courses, but no more than three. The elective courses, Project Management, Quality Management, Control and Planning, Logistics, and Management Science each had to be offered once and the department needed to offer at least six sections of the Introduction to Operations class. The prep times each professor estimated for each course appear in the table below. Copied below is a portion of the answer report that shows the status of the variable cells related to the faculty assignment. Which of these statements is consistent with the answer report? David is assigned to teach Introduction to Operations Tim is assigned to teach two courses. Saba is assigned to teach two courses.

David is assigned to teach Introduction to Operations

The ________ is a procedure for developing a consensus forecast about what will occur in the future. quantitative method Delphi method regression equation time series forecasting method

Delphi method

The college director of global activities was hopeful that the print ads in the school newspaper and 30 second spots on the campus radio station would spur some interest in the array of study tour and study abroad options he had secured. The communications director for the college had other ideas; she favored a social media campaign consisting of tweets and facebook postings. "This is the most ridiculous thing I ever heard of," he whined to the dean. The advertising budget is $3500, but there is no requirement that all the money be spent. The newspaper has only four issues before the end of the semester, but the radio is a 24/7 operation and has two dozen 30 second slots available. Facebook postings must be alternated with the rest of the mindless drivel posted on the college page; thus there is space for only three postings before the end of the semester. Twitter is complicated by the 140 character requirement. The communications director feels she needs five tweets to convey a single message about tours and semesters abroad, so for one message, the cost would be $25 for each of the five components of the single ad. Due to thumb fatigue, she feels that she has only 2800 characters left in her thumbs before the end of the semester. (A side note - During the intersession period, she plans to embark on a strict regimen of thumb yoga to prepare for the coming semester.) Which of these statements about the sensitivity report for the constraints is best? For every $1 increase in the budget, the ad campaign can reach twelve more customers. It is possible to reach enough customers by spending only $60. Only $940 of the advertising budget is being spent on this campaign. The advertising campaign needs another $2,560 to reach the maximum number of customers.

For every $1 increase in the budget, the ad campaign can reach twelve more customers.

Which of the following are assumptions or requirements of the transportation problem? There must be multiple sources. Correct Goods are the same, regardless of source. There must be multiple destinations. There must be multiple routes between each source and each destination.

Goods are the same, regardless of source.

Which of these routes for the horse is actually the shortest between the pair of nodes? Grass - Pond = 190' Fruit - Shade = 165' Barn - Pond = 200' Fruit - Hay = 160'

Grass - Pond = 190

________ indicates a forecast is biased high. Large - E Large : E Large + E Large x E

Large - E

________ moving averages react more slowly to recent demand changes than do ________ moving averages. Longer-period, longer-period Shorter-period, longer-period Shorter-period, shorter-period Longer-period, shorter-period

Longer-period, shorter-period

________ is absolute error as a percentage of demand. Cumulative error MAPD Average error MAD

MAPD

The production manager for the Coory soft drink company is considering the production of two kinds of soft drinks: regular (R) and diet (D). Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What is the objective function? A MAX $3R + $2D B MAX $4D + $2R C MAX $3D + $2R D MAX $2R + $4D

MAX $3R + $2D

The department chair reviewed last year's schedule, the degree requirements for the ever popular Operations and Supply Chain major, and the emails that had drifted into her mailbox over the last week. Naturally, every professor in the department had his own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all costs. In an effort to placate the senior faculty members of the department, the chair sent an email asking them to supply the prep time for each of the classes they were qualified to teach, promising to assign them the least taxing schedule possible. Each of her department members had to teach at least two courses, but no more than three. The elective courses, Project Management, Quality Management, Control and Planning, Logistics, and Management Science each had to be offered once and the department needed to offer at least six sections of the Introduction to Operations class. The prep times each professor estimated for each course appear in the table below. What is an appropriate objective function for this scenario? MIN MIN MIN

MIN MIN MIN

Ch03 - The Love Boat Captain Stubing of The Pacific Princess seeks to maximize the return for their scheduled 14 day tour of Europe and has a number of options available to him. He can ply his guests with alcohol, upsell them on fancier restaurant fare or include more expensive excursion options. These alternatives are not without tradeoffs, since different guests prefer different options, depending largely on their age and wherewithal. Among the limitations Captain Stubing must consider is the number of excursions; they must offer at least five alternatives per day for each the ten days they will reach port. In addition, the restaurant choices must exceed 12 major styles of cuisine and the bar themes down in The Grotto should rotate every other day for the 14 days. It's possible to rotate them twice a day, but any more than that and poor Isaac spends more time tearing down and setting up than he does mixing libations. Ideally, there should be at least one different bar theme for every cuisine type. The total budget for excursions, restaurants and bar has been set by the parent company at $150,000. It costs $1,500 to stock supplies for a major cuisine category, it costs $5,000 to include each different excursion, and it costs $900 to set up with a different bar theme. Based on historical data, Captain Stubing believes that each new bar setup will generate $1,500 profit, each new cuisine type will bring in $5,000, and each excursion type will generate $17,000 for the ship. What should Captain Stubing's objective function be? Max Z = 1500 Bar + 5000 Food + 17000 Excursion Max Z = 900 Bar + 1500 Food + 5000 Excursion Max Z = Bar + Food + Excursion Max Z = 5 Excursions + 12 Cuisine + 7 Bar + 150000 Budge

Max Z = 1500 Bar + 5000 Food + 17000 Excursion

Their cruise would port out of New Orleans and promised seven days with a panoply of excursions in Jamaica, Cozumel, and Grand Cayman. A list of excursions at each site and key features of each appear in the table. The excursions were all day affairs, so it was possible to engage in only one per port. The cruise ship sailed at night and docked at each of these three ports at the crack of dawn. By dinner time, the ship was on its way to the next port and next set of excursions. The couple was energetic and active for a pair of 52 year-olds., and while enjoying an upper middle class lifestyle, they didn't want to spend money on excursions that might be better spent on tacky souvenirs. The couple therefore budgeted $250 for the excursions&8211;the prices shown are per couple, so for example, the $60 will pay for both of them to fill up on jerk chicken and mannish water. What is an appropriate objective function for this vacation? Max Z = 3JS + 1JP + 2JH + 3JL + 2CS + 3CP + 1CH + 2CL + 3CTe + 1GS + 2GP + 3GH + 1GL + 3GTu Max Z = JS + JP + JH + JL + CS + CP + CH + CL + CTe + GS + GP + GH + GL + GTu Min Z = 100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu Min Z = 3JS + 1JP + 2JH + 3JL + 2CS + 3CP + 1CH + 2CL + 3CTe + 1GS + 2GP + 3GH + 1GL + 3GTu

Max Z = 3JS + 1JP + 2JH + 3JL + 2CS + 3CP + 1CH + 2CL + 3CTe + 1GS + 2GP + 3GH + 1GL + 3GTu

The college director of global activities was hopeful that the print ads in the school newspaper and 30 second spots on the campus radio station would spur some interest in the array of study tour and study abroad options he had secured. The communications director for the college had other ideas; she favored a social media campaign consisting of tweets and facebook postings. "This is the most ridiculous thing I ever heard of," he whined to the dean. The advertising budget is $3500, but there is no requirement that all the money be spent. The newspaper has only four issues before the end of the semester, but the radio is a 24/7 operation and has two dozen 30 second slots available. Facebook postings must be alternated with the rest of the mindless drivel posted on the college page; thus there is space for only three postings before the end of the semester. Twitter is complicated by the 140 character requirement. The communications director feels she needs five tweets to convey a single message about tours and semesters abroad, so for one message, the cost would be $25 for each of the five components of the single ad. Due to thumb fatigue, she feels that she has only 2800 characters left in her thumbs before the end of the semester. (A side note - During the intersession period, she plans to embark on a strict regimen of thumb yoga to prepare for the coming semester.) What is an appropriate objective function for this scenario? Min Z = 500N + 250R + 125T + 15F Max Z = 5,000N + 3,000R + 700T + 200F Min Z = 500N + 250R + 125T + 15F Min Z = 5,000N + 3,000R + 700T + 200F

Max Z = 5,000N + 3,000R + 700T + 200F

Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For the spring, she is planning to make baskets, eggs, and rabbits. Based on your discussion with your aunt you construct the following table: Aunt Anastasia's available hours for paint and seal have fallen from 80 hours to 60 hours because of other commitments. How will this affect her profits? Profits will increase by $30. Profits will decrease by $20. Profits will increase by $20. Profits will not change.

Profits will not change.

________ use management judgment, expertise, and opinion to make forecasts. Quantitative methods Time series Qualitative methods Regression

Qualitative methods

The production manager for the Coory soft drink company is considering the production of two kinds of soft drinks: regular and diet. Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What are the optimal daily production quantities of each product and the optimal daily profit? R = 90, D = 75, Z = $420 R = 75, D = 90, Z = $405 R = 40, D= 100, Z = $320 R = 135, D = 0, Z = $405

R = 90, D = 75, Z = $420

The department chair reviewed last year's schedule, the degree requirements for the ever popular Operations and Supply Chain major, and the emails that had drifted into her mailbox over the last week. Naturally, every professor in the department had his own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all costs. In an effort to placate the senior faculty members of the department, the chair sent an email asking them to supply the prep time for each of the classes they were qualified to teach, promising to assign them the least taxing schedule possible. Each of her department members had to teach at least two courses, but no more than three. The elective courses, Project Management, Quality Management, Control and Planning, Logistics, and Management Science each had to be offered once and the department needed to offer at least six sections of the Introduction to Operations class. The prep times each professor estimated for each course appear in the table below. Which constraint ensures that Introduction to Operations is offered according to the scenario? SI + GI + TI + DI ≥ 6 SI + SP + SQ + SC + SL + SM ≥ 6 SI + SP + SQ + SC + SL + SM ≤ 6 SI + GI + TI + DI ≤ 6

SI + GI + TI + DI ≥ 6

The department chair reviewed last year's schedule, the degree requirements for the ever popular Operations and Supply Chain major, and the emails that had drifted into her mailbox over the last week. Naturally, every professor in the department had his own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all costs. In an effort to placate the senior faculty members of the department, the chair sent an email asking them to supply the prep time for each of the classes they were qualified to teach, promising to assign them the least taxing schedule possible. Each of her department members had to teach at least two courses, but no more than three. The elective courses, Project Management, Quality Management, Control and Planning, Logistics, and Management Science each had to be offered once and the department needed to offer at least six sections of the Introduction to Operations class. The prep times each professor estimated for each course appear in the table below. Which constraint is appropriate for this scenario? DI + DP + DQ + DC + DL + DM = 2 SI + SP + SQ + SC + SL + SM ≤ 3 SI + GI + TI + DI ≤ 6 SM + GM + TM + DM ≥ 1

SI + SP + SQ + SC + SL + SM ≤ 3

After months of broken promises, partial payments, and general stupidity, the landlord had no choice but to evict the long term tenants that had become little more than squatters in his first rental property. As he surveyed the damage and pondered a mix of repairs an upgrades, he scoured the latest statistics on what different upgrades might be worth in terms of increased rent. Beautifully refinished wood floors could increase the monthly rent about $100 and an upgrade to the kitchen would fetch $80 per month. The garage door needed replacement, but even though it would receive daily use, it was almost an order qualifier, and wouldn't net more than $20 per month. The house had always suffered from lack of a back door&8211;you had to access the backyard through the garage, so taking out a window and replacing it with a safety door would cost $250 and add only $15 to the monthly rent. The garage door would cost $350, the kitchen update would cost $1000 if he went with granite, and the floor refinish job would cost $400 to rent the buffer and buy the chemicals. It wouldn't be easy doing these upgrades; the garage door would take a half week, the back door one week, the floors two weeks and the tile three weeks. The landlord ran the model in Excel and received the answer report contained in the table. Which of the following statements is correct? The rent will be $195 higher and the project will take 3.5 weeks to finish at a cost of $3700. The rent will be $180 higher and the project will take 3.5 weeks to finish at a cost of $2900. The rent will be $180 higher and the project will take 2.5 weeks to finish at a cost of $3700. The rent will be $195 higher and the project will take 2.5 weeks to finish at a cost of $2900.

The rent will be $180 higher and the project will take 3.5 weeks to finish at a cost of $2900

Due to increased sales, a company is considering building three new distribution centers (DCs) to serve four regional sales areas. The annual cost to operate DC 1 is $500 (in thousands of dollars). The cost to operate DC 2 is $600 (in thousands of dollars). The cost to operate DC 3 is $525 (in thousands of dollars). Assume that the variable cost of operating at each location is the same, and therefore not a consideration in making the location decision. The constraint for distribution center 1 is: X11 + X12 + X13 + X14 ≥ 500. X11 + X12 + X13 + X14 ≤ 500. X11 + X12 + X13 + X14 - 500y1 ≤ 0. X11 + X12 + X13 + X14D + 500y1 ≤ 0.

X11 + X12 + X13 + X14 - 500y1 ≤ 0.

Which of the following could be a linear programming objective function? A Z = 1A + 2B + 3C + 4D B Z = 1A + 2B2 + 3D C Z = 1A + 2B / C + 3D D Z = 1A + 2BC + 3D

Z = 1A + 2B + 3C + 4D

An intern sets up a linear program to optimize the use of paper products in the men's washroom. The system of equations he develops is: His mentor studies the model, frowns, and admonishes the intern for violating which of the following properties of linear programming models? A divisibility B certainty C additivity D proportionality

additivity

In a single-server queuing model, L represents the: length of time a customer waits. length of the line. size of the queue. average number of customers waiting and being served

average number of customers waiting and being served

Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For the spring, she is planning to make baskets, eggs, and rabbits. Based on your discussion with your aunt you construct the following table: Aunt Anastasia is planning for next spring, and she is considering making only two products. Based on the results from the linear program, which two products would you recommend that she make? baskets and eggs baskets and rabbits eggs and rabbits She should continue to make all three

baskets and rabbits

If the price increases, but fixed and variable costs do not change, the break-even point: A: decreases. B: increases. C: remains the same. D: may increase or decrease, depending on sales

decreases

If fixed costs decrease, but variable cost and price remain the same, the break-even point: A decreases. B increases. C remains the same. D may increase or decrease depending on sales.

decreases.

A systematic approach to model formulation is to first: develop each constraint separately. define decision variables. determine the right hand side of each constraint. construct the objective function .

define decision variables.

Assume that we are using 0-1 integer programming model to solve a capital budgeting problem and xj = 1 if project j is selected and xj = 0, otherwise. The constraint (x1 + x2 + x3 + x4 = 2) means that ________ out of the ________ projects must be selected. at most 1, 2 at least 2, 4 exactly 1, 2 Correct exactly 2, 4

exactly 2, 4

________ is not part of a Monte Carlo simulation. Analyzing results Finding an optimal solution Evaluating the results Analyzing a real problem

finding the optimal solution

If we wanted to represent an office layout as a network flow problem, which of the following would be represented as a branch? computer rooms Correct heating and ventilation systems offices waiting areas

heating and ventilation systems

Which of the following will not decrease system utilization? increase in arrival rate increase in the number of servers increase in service rate decrease in service time

increase in arrival rate

If fixed costs increase, but variable cost and price remain the same, the break-even point A: increases. B: decreases. C:remains the same. D:may increase or decrease depending on sales.

increases.

If the price decreases, but fixed and variable costs do not change, the break-even point: A increases. B decreases. C remains the same. D may increase or decrease, depending on sales.

increases.

In a network flow model, a directed branch: is a branch on which the flow capacity is exhausted. is a branch with a positive distance value. is a branch in which flow is not possible in either direction. is a branch in which flow is possible in only one direction.

is a branch in which flow is possible in only one direction

Random numbers generated by a ________ process instead of a ________ process are pseudorandom numbers. physical, physical physical, mathematical mathematical, mathematical mathematical, physical

mathematical, physical

The following is a graph of a linear programming problem. The feasible solution space is shaded, and the optimal solution is at the point labeled Z*. This linear programming problem is a(n): A maximization problem. B minimization problem. C irregular problem. D cannot tell from the information given

minimization problem

If the solution values of a linear program are rounded in order to obtain an integer solution, the solution is: never optimal and feasible. Correct sometimes optimal and feasible. always optimal and feasible. always feasible.

sometimes optimal and feasible.

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ________ result in a(n) ________ solution to the integer linear programming problem. never, non-optimal always, non-optimal Correct sometimes, optimal always, optimal

sometimes, optimal

A ________ is a gradual, long-term, up-or-down movement of demand. trend cycle seasonal pattern prediction

trend

After months of broken promises, partial payments, and general stupidity, the landlord had no choice but to evict the long term tenants that had become little more than squatters in his first rental property. As he surveyed the damage and pondered a mix of repairs an upgrades, he scoured the latest statistics on what different upgrades might be worth in terms of increased rent. Beautifully refinished wood floors could increase the monthly rent about $100 and an upgrade to the kitchen would fetch $80 per month. The garage door needed replacement, but even though it would receive daily use, it was almost an order qualifier, and wouldn't net more than $20 per month. The house had always suffered from lack of a back door&8211;you had to access the backyard through the garage, so taking out a window and replacing it with a safety door would cost $250 and add only $15 to the monthly rent. The garage door would cost $350, the kitchen update would cost $1000 if he went with granite, and the floor refinish job would cost $400 to rent the buffer and buy the chemicals. It wouldn't be easy doing these upgrades; the garage door would take a half week, the back door one week, the floors two weeks and the tile three weeks. Which of these constraints would not be appropriate for this scenario? 2700x1 + 400x2 + 2500x3 + 1000x4 + 600x5 + 250x6 + 350x7 + 400x8 ≤ 3000 x3 + x4 = 1 x1, x2, x3, x4, x5, x6 , x7, x8 ≥ 0 and integer 1x1 + 2x2 + 1.5x3 + 3x4 + 0.5x5 + 1x6 + 0.25x7 + 0.5x8 ≤ 4

x1, x2, x3, x4, x5, x6 , x7, x8 ≥ 0 and integer

After months of broken promises, partial payments, and general stupidity, the landlord had no choice but to evict the long term tenants that had become little more than squatters in his first rental property. As he surveyed the damage and pondered a mix of repairs an upgrades, he scoured the latest statistics on what different upgrades might be worth in terms of increased rent. Beautifully refinished wood floors could increase the monthly rent about $100 and an upgrade to the kitchen would fetch $80 per month. The garage door needed replacement, but even though it would receive daily use, it was almost an order qualifier, and wouldn't net more than $20 per month. The house had always suffered from lack of a back door&8211;you had to access the backyard through the garage, so taking out a window and replacing it with a safety door would cost $250 and add only $15 to the monthly rent. The garage door would cost $350, the kitchen update would cost $1000 if he went with granite, and the floor refinish job would cost $400 to rent the buffer and buy the chemicals. It wouldn't be easy doing these upgrades; the garage door would take a half week, the back door one week, the floors two weeks and the tile three weeks. Obviously if the model wants to upgrade the kitchen, it should be done by either the landlord or a subcontractor. As he creates the IP model, the landlord wants to leave the choice of whether to actually upgrade the kitchen up to the optimization algorithm. How should this constraint be written if he uses the following scheme for decision variables? x3 + x4 = 1 x3 + x4 ≤ 1 x3 - x4 = 1 x3 - x4 ≤ 1

x3 + x4 ≤ 1

After months of broken promises, partial payments, and general stupidity, the landlord had no choice but to evict the long term tenants that had become little more than squatters in his first rental property. As he surveyed the damage and pondered a mix of repairs an upgrades, he scoured the latest statistics on what different upgrades might be worth in terms of increased rent. Beautifully refinished wood floors could increase the monthly rent about $100 and an upgrade to the kitchen would fetch $80 per month. The garage door needed replacement, but even though it would receive daily use, it was almost an order qualifier, and wouldn't net more than $20 per month. The house had always suffered from lack of a back door&8211;you had to access the backyard through the garage, so taking out a window and replacing it with a safety door would cost $250 and add only $15 to the monthly rent. The garage door would cost $350, the kitchen update would cost $1000 if he went with granite, and the floor refinish job would cost $400 to rent the buffer and buy the chemicals. It wouldn't be easy doing these upgrades; the garage door would take a half week, the back door one week, the floors two weeks and the tile three weeks x5 - x6 ≤ 1 x5 + x6 ≤ 1 x5 + x6 = 1 x5 - x6 = 1

x5 + x6 = 1

Use the constraints given below and determine which of the following points is feasible. x = 2; y = 4 x = 1; y = 4 x = 2; y = 8 x = 3; y = 0.5

x = 1; y = 4

Let xij = gallons of component i used in gasoline j. Assume that we have two components and two types of gasoline. There are 8000 gallons of component 1 available, and the demand gasoline types 1 and 2 are 11,000 and 14,000 gallons, respectively. Write the supply constraint for component 1. x12 + x22 ≥ 8000 x11 + x12 ≤ 8000 x21 + x22 ≥ 8000 x21 + x22 ≤ 8000

x11 + x12 ≤ 8000