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A university is planning 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. If we know that 20 people will attend, what price should be charged per person to break even?

$175

Which of the following possible values of alpha would cause exponential smoothing to respond the most slowly to sudden changes in forecast errors?

.01

Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will be accepted at both universities?

.09

The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume customers wait in a single queue and go to the next available server. What is the probability that there are no customers in the grocery store?

The following data represents quarterly sales of lawnmowers. What is the seasonal index for the third quarter? (Round to the nearest hundredth.)

.30

Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table. What is the probability that Mr. Lane makes it home in under thirty minutes?

.35

The owner of Black Angus Ranch is trying to determine the correct mix of two types of beef feed, A and B, which cost 50 cents and 75 cents per pound, respectively. Five essential ingredients are contained in the feed, shown in the table below. The table also shows the minimum daily requirements of each ingredient. The constraint for ingredient 3 is:

.3B ≥ 20.

.44

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. The utilization is:

.57

Quickbrush Paint Company is developing a linear program to determine the optimal quantities of ingredient A and ingredient B to blend together to make oil-base and water-base paint. The oil-base paint contains 90 percent A and 10 percent B, whereas the water-base paint contains 30 percent A and 70 percent B. Quickbrush currently has 10,000 gallons of ingredient A and 5,000 gallons of ingredient B in inventory and cannot obtain more at this time. Assuming that x represents the number of gallons of oil-base paint, and y represents the gallons of water-base paint, which constraint is correctly represents the constraint on ingredient A?

.9 x + .3 y ≤ 10,000

In a single-server queuing system, 10 customers arrive per hour, and 20 customers are served per hour. What is the average number of customers in the waiting line? (Give the answer to one decimal point.)

0.5

A single-server queuing system has average time between arrivals of 20 minutes and a service time of 10 minutes each. Assuming Poisson arrivals and exponential service times, the utilization factor is approximately:

0.50

In a single-server queuing system, if 12 customers arrive per hour and 30 customers are served per hour, what is the probability that there are no customers in the system?

0.60

In a given experiment the probabilities of mutually exclusive events sum to:

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

In an assignment problem all supply and demand values equal are:

In exponential smoothing, the closer alpha is to ________, the greater the reaction to the most recent demand.

What is the expected average number of snowplows in the garage (waiting for repair and being repaired)?

1.33

A construction firm from the Phuket Province of Thailand has a five activity project lined up for the coming month. They have had some difficulty getting firm estimates on the activity durations and have resorted to the three time estimates approach to plan the project. The activities and optimistic, most likely, and pessimistic estimates (in days) for each are shown in the table. What is the standard deviation of the AC path?

1.43

In a single-server queuing system, 10 customers arrive per hour, and 20 customers are served per hour. What is the arrival rate?

Consider the network diagram given in Figure 2. Assume that the amount on each branch is the distance in miles between the respective nodes. What is the distance for the shortest route from the source node (node 1) to node 4?

A keyboard costs $1000, and the annual holding cost is 25% of the price of the keyboard (.25*$1000). Annual demand is 10,000 units, and the order cost is $150 per order. What is the approximate economic order quantity?

110

Work all problems in terms of hours. If it takes 5 minutes to serve a customer at a fast food restaurant, the service rate is ______ .

A horse and two llamas are discussing the key areas of their domain on a lazy summer afternoon. The llamas favor the pond and shade and like to browse the fruit trees and oaks on the property, making their way to the barn only when their owner favors them with some oats. The horse prefers to graze the grass and hay for food and drink from the pond but will race up to the barn when the owner is handing out oats up there. Between the three of them, they have stepped off the distances between many of these key points several times and believe that they have developed an accurate map, shown below. As incredible as it may seem, neither the horse nor the llamas have had any training in management science, which is where you come in. 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'

Kathleen is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a few friends she could hire on an hourly basis. The equipment would cost her $500, and she estimates her cost per lawn would be $14, based on the time required to pay her friends (not including her own labor) and gasoline for driving to the jobs and for the mowers. Kathleen believes she can get more business if she lowers her price per lawn. If she lowers her price to $25 per lawn and increases her number of jobs to four per day (which is about all she can handle anyway), 6 days per week. How much money can she expect to make?

1612

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?

17.78 to 30 pounds

Kathleen is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a few friends she could hire on an hourly basis. The equipment would cost her $500, and she estimates her cost per lawn would be $14, based on the time required to pay her friends (not including her own labor) and gasoline for driving to the jobs and for the mowers. Kathleen has eight weeks available to mow lawns before school starts again, and she estimates that she can get enough customers to mow at least three lawns per day, six days per week. How much money can she expect to make over the summer?

1804

Determine the slack for activity D.

2 days

In multiple-server models, ________ independent servers in parallel serve a single waiting line.

2 or more

Determine the average time that a snowplow is out of service.

2.64 hours

An automotive center keeps tracks of customer complaints received each week. The probability distribution for complaints can be represented as the table shown below. The random variable xi represents the number of complaints, and p( xi) is the probability of receiving xi complaints. What is the average number of complaints received per week?

2.83

In a single-server queuing system, 10 customers arrive per hour, and 20 customers are served per hour. What is the service rate?

Using the nodes of interest for the llamas, Fruit, Barn, Oak, Shade, Hay and Pond, what is the maximal flow from the Barn to the Pond?

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?

What is the early start time for the Hire valets activity?

In the basic EOQ model, if annual demand is 50, carrying cost is $2 per unit per year, and ordering cost is $15, what is the EOQ (order quantity)?

27.39

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?

270'

How many pounds of beans will Taco Loco have left over if they produce the optimal quantity of products X, Y, and Z?

28.73

If the forecast for period 5 is equal to 275, use exponential smoothing to compute a forecast for period 7 if α = .40.

286.2

What is the increase in revenue if Taco Loco purchases 20 pounds of cheese for $1 and uses it optimally?

Use a decision tree analysis to analyze these decision alternatives. What is the expected value of the "Inexpensive" decision?

29,000

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.

290

What is the constraint for salt?

2L + 3V ≤ 4800

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?

2R + 4D ≤ 480

A professor needs help from three student helpers to complete four tasks. The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios. The estimated time for each student to do each task is given in the matrix below. Assume that each student can only do one task. Any tasks unassigned will be done by the professor.How many tasks will be assigned to the students?

3 tasks

The Summer Outdoor Furniture Company produces wooden lawn chairs. The annual demand from its store customers is 17,400 chairs per year. The transport and handling costs are $2,600 each time a shipment of chairs is delivered to stores from its warehouse. The annual carrying cost is $3.75 per chair. The company is thinking about relocating its warehouse closer to its customers, which would reduce transport and handling costs to $1,900 per order but increase carrying costs to $4.50 per chair per year. What is the Economic Order Quantity? Round answer to nearest whole number.

3,833

Kathleen is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a few friends she could hire on an hourly basis. The equipment would cost her $500, and she estimates her cost per lawn would be $14, based on the time required to pay her friends (not including her own labor) and gasoline for driving to the jobs and for the mowers. If she charges customers $30 per lawn, how many lawns would she need to mow to break even?

31.25

If Sally runs 15 ads, how much will sales increase? (Type a whole number.)

320

Pro-Carpet company manufactures carpets in Northwest Indiana and delivers them to warehouses and retail outlets. The network diagram given in figure below shows the possible routes and distances from the carpet plant in Valparaiso to the various warehouses or retail outlets. What is the distance for the shortest route from the carpet plant in Valparaiso to retail outlet in Lansing, Illinois. State the total completion time in minutes.

A local gym has discovered that their demand for personal trainers (measured in hours) is related not only to their own advertising expenditures in the prior month, but also to the demand for doughnuts and swim gear in the prior month at neighboring stores. The gym has developed the following regression model to forecast demand for personal trainers: Demand = 185 + (0.15 × advertising expenditures) - (0.05 × doughnuts) + (0.23 × swim gear sales) What is the forecast for October, given advertising expenditures of 1000, doughnut sales of 2450, and swim gear sales of 782 in September? Give your answer to one decimal place (example xxx.x).

392.4

How much can activity F be delayed without delaying the project completion?

4 days

4,912

A fashion designer wants to produce a new line of clothes. In the production of the clothes, expensive, medium-priced, or inexpensive materials can be used. The profit associated with each type of material depends upon economic conditions next year. Below is the payoff table.An economist believes that the probability that the economy will improve is 20%, the probability that the economy will stay the same is 70%, and the probability that the economy will get worse is 10%. Use a decision tree analysis to analyze these decision alternatives. What is the expected value of the "Expensive" decision?

45,000

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?

45,000

What is the 3-year weighted moving average forecast for year 5 using weights of .4 for the most recent, .35, and .25 for the least recent.

459.5

What is the 2-year moving average forecast for year 5? Submit your answer with one decimal.

464.5

After tallying the receipts for their first year of operation, the owners of the Taco Barn are encouraged. Sales of their artisnal tacos, made from such exotic ingredients as ground beef, cheese, and beans, have been strong and seem to give hope to the coming year. Taco sales by month are shown in the table. Armed only with his fingers, the owner decides that the safest forecasting approach is a moving average of two periods. His fingers are aching by the time he reaches May and he is worried about his ability to stuff tacos during tomorrow's dinner rush. Help him out by finding the forecast for June.

583.5

Given an actual demand of 59, a previous forecast of 64, and an alpha of .3, what would the forecast for the next period be using simple exponential smoothing?

62.5

Customers arrive at a candy shop every 8 minutes on average. What is the arrival rate?

7.5

Which of the following statements about infeasible problems is best?

All of the possible solutions violate at least one constraint.

B = 150, M = 0

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 line is represented by the equation 2X + Y ≥ 8?

In ________ additional information is used to alter the marginal probability of the occurrence of an event.

Bayesian analysis

Dependent demand items are final products demanded by an external customer.

Independent demand items are used internally to produce a final product.

________ are generally independent of the volume of units produced and sold.

Fixed costs

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.

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?

How should the entry for the Newspaper decision variable be interpreted?

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.

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 $125 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?

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

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 Z = 3SI + 10SP + 12SQ + 16SC + 12SL + 7SM + 4GI + 19GP + 2GQ + 10GC + 8GL + 18GM + 5TI + 11TP + 4TQ + 14TC + 14TL + 3TM + 4DI + 11DP + 4DQ + 15DC + 17DL + 15DM

(Below are the Excel tables we would use to solve homework question #15 page 268.) Bayville has built a new elementary school, increasing the town's total to four schools—Addison, Beeks, Canfield, and Daley. Each has a capacity of 400 students. The school board wants to assign children to schools so that their travel time by bus is as short as possible. The school board has partitioned the town into five districts conforming to population density—north, south, east, west, and central. The average bus travel time from each district to each school is shown as follows: The goal of the problem is to determine the number of children that should be assigned from each district to each school to minimize student travel time.

North A = 250 South B = 300 South C = 40 East A = 150 East C = 160 West D = 210 Central B = 100 Central D = 190 Z = 20,700 min.

Madlantic Devices designs and manufactures high-end medical devices. The facilities in Madison and Atlanta serve as design and component manufacturing facilities. Components are then shipped to warehouses in Philadelphia or Knoxville, where they are held until final assembly is completed at either Dayton, Bloomington, or Albany. Manufacturing capacity in Madison and Atlanta is 1000 units. Demand at Dayton, Bloomington, and Albany is 450, 500, and 610, respectively. The network representing the shipping routs is shown below. The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted. The transshipment locations are:

Philadelphia and Knoxville.

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

Which constraint ensures that Introduction to Operations is offered according to the scenario?

SI + GI + TI + DI ≥ 6

Which constraint is appropriate for this scenario?

SI + SP + SQ + SC + SL + SM ≤ 3

Which is the optimal choice using the equally likely criteria?

Seattle

________ is a measure of the dispersion of random variable values about the expected value or mean.

Standard deviation

Suppose that the likelihood for each of the scenarios 1 through 3 is 0.3, 0.4, and 0.3, respectively. What is the optimal decision under the expected opportunity loss criterion?

Texas Tech University

Solve Problem above using the computer, and determine the shadow prices for additional units of resource 1 and resource 2, and indicate which the company would prefer.

The company would prefer to obtain more units of resource 2 since it would result in the greater increase in profit.

The following table represents the cost to ship from Distribution Center 1, 2, or 3 to Customer A, B, or C. The constraint that represents the quantity demanded by Customer B is:

X 1B + X 2B + X 3B = 350.

A professor needs help from three student helpers to complete four tasks. The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios. The estimated time for each student to do each task is given in the matrix below. Which of the following constraints represents the assignment for task 2, scanning?

X 2A + X 2B + X 2C ≤ 1

Consider the following network representation of shipment routes between plants, a distribution center, and retail outlets. The numbers next to the arcs represent shipping costs. For example, the cost of shipping from plant 1 to distribution center 3 is equal to $2. Assume that they will ship all of the products from the plant, but each retail outlet might not get all that it requested. Assume that Plant 1 can supply 400 units and Plant 2, 500 units. Demand at the retail outlets are: Outlet 4, 300 units; Outlet 5, 250 units; Outlet 6, 450 units. Which constraint represents transshipment through the distribution center?

X13 + X23 - X34 - X35 - X36 = 0

X36 + X26 ≤ 450

For the previous question, what is the first year you can calculate a 3-year moving average forecast?

Year 4

Which of the following is an equation or an inequality that expresses a resource restriction in a mathematical model?

a constraint

How would multiple optimal solutions typically appear on a graphical solution?

a line

In the formulation of a ≥ constraint:

a surplus variable is subtracted.

In a single-server queuing model, L represents the:

average number of customers waiting and being served.

The LS and LF are calculated using the:

backward pass through the network.

In a multiperiod scheduling problem, the production constraint usually takes the form of:

beginning inventory - demand + production = ending inventory.

Regret is the difference between the payoff from the:

best decision and all other decision payoffs.

The Hurwicz criterion multiplies the:

best payoff by the coefficient of optimism.

On an AOA diagram, a ________ represents an activity of a project.

branch

A decision tree is a diagram consisting of:

branches representing decision alternatives.

The indicator that results in total revenues being equal to total cost is called the:

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. (Note, all units are in pounds, not ounces like we used on our in-class worksheet.) Max R = 14Z + 13Y + 17X subject to:Beef 2Z + 3Y + 4X ≤ 28Cheese 9Z + 8Y + 11X ≤ 80Beans 4Z + 4Y + 2X ≤ 68X,Y,Z ≥ 0The sensitivity report from the computer model reads as follows:The local cheese vendor offers to sell Taco Loco 200 pounds of cheese for these three products. Taco Loco should:

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

If an activity cannot be delayed without affecting the entire project, then it is a ________ activity.

critical

If the price increases, but fixed and variable costs do not change, the break-even point:

decreases

In an EOQ model, as the carrying cost increases, the order quantity:

decreases

If fixed costs decrease, but variable cost and price remain the same, the break-even point:

decreases.

The ________ multiplies the decision payoff for each state of nature by an equal weight.

equal likelihood criterion

Which activity has a slack time that is different from all others?

hire quartet

When systematically formulating a linear program, the first step is to:

identify the decision variables.

For a maximization problem, the shadow price measures the ________ in the value of the optimal solution, per unit increase for a given ________.

improvement, resource

Which of the following will not decrease system utilization?

increase in arrival rate

A slack variable:

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

The optimal solution to a linear programming model that has been solved using the graphical approach:

is typically at some corner of the feasible region.

Consider the following linear program: MAX z = 5x + 3y s.t. x - y ≤ 6 x ≤ 1 The optimal solution:

is unbounded.

The critical path is the ________ path through the network.

longest

In a CPM/PERT network the critical path is the:

longest path through the network.

Constant service times occur with

machinery.

A ________ probability is the probability of a single event occurring.

marginal

In Bayesian analysis, additional information is used to alter the ________ probability of the occurrence of an event.

marginal

The objective of the maximal flow solution approach is to:

maximize the total amount of flow from an origin to a destination.

In Problem above: The maximum demand for bracelets is 4. If the store produces the optimal number of bracelets and necklaces, will the maximum demand for bracelets be met?

maximum demand is not achieved by one bracelet

The maximax criterion results in the:

maximum of the maximum payoffs.

The maximin criterion results in the:

maximum of the minimum payoffs.

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. For the production combination of 135 cases of regular and 0 cases of diet soft drink, which resources will not be completely used?

only time

The interval labeled "D" in the diagram is:

order receipt period.

Multiple optimal solutions can occur when the objective function is ________ a constraint line.

parallel to

A dummy activity is used to show a precedence relationship, but it does not represent a:

passage of time.

A tabular presentation that shows the outcome for each decision alternative under the various possible states of nature is called a:

payoff table.

A ________ probability is the altered marginal probability of an event based on additional information.

posterior

Bayesian analysis involves a(n) ________ probability.

posterior

The arrival rate is the:

rate of arrivals to the service facility.

In the basic EOQ model, if lead time increases from 5 to 10 days, the EOQ will:

remain the same.

The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50. For the production combination of 800 bags of lime and 600 bags of vinegar, which of the three resources is (are) not completely used?

salt only

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.

Inventory costs include:

shortage costs. carrying costs. ordering costs. Answer: all of the above

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:

shortest route solution technique.

The linear programming model for a transportation problem has constraints for supply at each ________ and ________ at each destination.

source, demand

The local Internet provider wants to develop a network that will connect its server at its satellite center in Valparaiso with the main city computer centers in Northwest Indiana to improve the Internet service and to minimize the amount of cable used to connect network nodes. If we represent this problem with a network:

the length of cables in miles are the branches, and the cities are the nodes.

The purpose of inventory management is to determine:

timing and quantity of orders.

At the break-even point:

total revenue equals total cost

The problem that deals with the distribution of goods from several sources to several destinations is the:

transportation problem .

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. If the production manager decides to produce of 400 bottles of light beer and 0 bottles of dark beer, it will result in slack of:

wheat only.

Use the constraints given below and determine which of the following points is feasible. (1) 14 x + 6 y ≤ 42 (2) x - y ≤ 3

x = 1; y = 4

A hospital dietitian prepares breakfast menus every morning for the hospital patients. Part of the dietitian's responsibility is to make sure that minimum daily requirements for vitamins A and B are met. At the same time, the cost of the menus must be kept as low as possible. The main breakfast staples providing vitamins A and B are eggs, bacon, and cereal. The vitamin requirements and vitamin contributions for each staple follow: An egg costs $0.04, a bacon strip costs $0.03, and a cup of cereal costs $0.02. The dietitian wants to know how much of each staple to serve per order to meet the minimum daily vitamin requirements while minimizing total cost. a. Formulate a linear programming model for this problem. Notation: x is no.of eggs, y is no.of bacon strips and z is no. of cups of cereal. We will use Z for total cost. b. Solve the model by using the computer.

x=2 y=3 Z=$0.17

A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product requires two resources are as follows: Resources/Unit Product 1 2 A 12 4 B 4 8 Total Resources 60 40 Formulate a linear programming model to determine the optimal product mix that will maximize profit. Please choose the optimal solution. x=no. of units of A y=no. of units of B

x=4 y=3 Z=57

Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category. If an employee is selected at random, what is the probability that the employee is female or works as a member of the administration?

.70

The gentleman farmer kept chickens for the eggs, the splash of color in the yard, and because he found their gentle clucking to relax him as he worked on his laptop on his deck. Their movements around his yard gave meaning to the term random walk — you literally could not predict their location from one minute to the next. His collection of birds is neatly summarized in this table. A Rhode Island Red just joined him up on the deck; what is the probability it is a rooster?

0.20

Which of the following is not a feasible production combination?

0L and 1200V

On average, how long does a plow wait before the mechanic begins the repair?

1.52 hours

What is the slack time for the Stock wine cellar activity?

Given the following network (please look at the network in the book), with the indicated flow capacities of each branch, determine the maximum flow from source node 1 to destination node 6 and the flow along each branch. Maximum flow is?

Given the following linear program that maximizes revenue: Max Z = 15 x + 20 y s.t. 8 x + 5 y ≤ 40 4 x + y ≥ 4 What is the maximum revenue at the optimal solution?

160

Consider the network diagram given in Figure 2. Assume that the numbers on the branches indicate the length of cable (in miles) six nodes on a telecommunication network. What is the minimum number of miles of cable to be used to connect all six nodes?

18 miles

18,420

What is the late start time for the Stock wine cellar activity?

Determine the estimated completion time of the project.

25 days

Determine the shortest route for a carpet delivery truck from the carpet plant in Valparaiso to retail outlet in Hammond.

Company A has a fixed cost of 75,000 and a variable cost of 15. Company B's fixed cost is 90,000 and variable cost is 11. At what point is Yowzah indifferent between the two bidders?

3,750

Which of the following is not a feasible solution?

300 L and 200 D

Determine the slack for activity F.

4 days

A portion of the variable cells section of the sensitivity report in Excel appears in the table below. How many potential customers will be reached by the optimal advertising campaign?

42,080

What is the 3-year moving average forecast for year 5?

457.67

What is the fastest this project can be completed?

Use a decision tree analysis to analyze these decision alternatives. What is the expected value of the "Medium" decision?

57,000

The horse walks from the Grass to the Pond and the llamas walk from the Fruit to the Shade. How much longer does the horse walk if each takes the shortest possible route?

60'

A PERT/CPM activity has an optimistic time estimate of 3 days, a most likely time estimate of 8 days, and a pessimistic time estimate of 10 days. The expected time (in days) of this activity is:

7.5

What is the optimal weekly profit?

800

How many branches are on the far right side of the tree?

9,210

What is the cell formula in B6 (for demand 58.17)?

=E5+E6*A6

Which of these statements is best?

An unbounded problem has feasible solutions.

Determine the critical path.

BCEH

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

Coefficient of determination

If t is the expected completion time for a given activity, then:

EF = ES + t.

What is the proper interpretation of the shadow price for Facebook?

Every additional dollar spent on Facebook advertising gains 20 customers as long as the number of postings does not exceed 233.

________ is the difference between the forecast and actual demand.

Forecast error

Which of these routes for the horse is actually the shortest between the pair of nodes?

Grass - Pond = 190'

________ is a linear regression model relating demand to time.

Linear trend

The objective function is:

MIN 7X 13 + 8X 14 + 4X 23 + 7X 24 + 3X 34 + 3X 43 + 25X 35 + 6X 36 + 17X 37 + 29X 45 + 8X 46 + 5X 47.

In a linear programming problem, a valid objective function can be represented as:

Max 3 x + 3 y + 1/3 z

Which alternative should the company choose?

Medium

Which is the optimal choice using the minimax regret criteria?

Northeastern State

Which is the optimal choice using the maximin criteria?

Texas Tech

A hot dog manufacturer wishes to minimize the cost in dollars of producing a low-cost niched product while meeting the dietary guidelines for protein and sodium. Once the model has been run, the surplus variable in the sodium constraint has a value of 1300 milligrams. The best interpretation of this outcome is:

The minimum cost hot dog has 1300 milligrams more sodium than required.

Assumptions of the EOQ model include:

There is instantaneous order receipt.

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.

________ is a category of statistical techniques that uses historical data to predict future behavior.

Time series

Napoleon is contemplating four institutions of higher learning as options for a Masters in Business Administration. Each university has strong and weak points and the demand for MBA graduates is uncertain. The availability of jobs, student loans, and financial support will have a significant impact on Napoleon's ultimate decision. Vanderbilt and Seattle University have comparatively high tuition, which would necessitate Napoleon take out student loans resulting in possibly substantial student loan debt. In a tight market, degrees with that cachet might spell the difference between a hefty paycheck and a piddling unemployment check. Northeastern State University and Texas Tech University hold the advantage of comparatively low tuition but a more regional appeal in a tight job market. Napoleon gathers his advisory council of Kip and Pedro to assist with the decision. Together they forecast three possible scenarios for the job market and institutional success and predict annual cash flows associated with an MBA from each institution. All cash flows in the table are in thousands of dollars. Which is the optimal choice using the maximax criteria?

Vanderbilt

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*. The equation for constraint DH is:

X + 2Y ≥ 8.

The constraint for the quantity shipped from Madison is:

X 13 + X 14 ≤ 1000.

The constraint for Philadelphia is:

X 13 + X 23 + X 43 - X 34 - X 35 - X 36 - X 37 = 0.

A professor needs help from three student helpers to complete four tasks. The first task is grading; the second is scanning; the third is copying, and the fourth is organizing student portfolios. The estimated time for each student to do each task is given in the matrix below. Which of the following constraints represents the assignment for student A?

X A1 + X A2 + X A3 + X A4 = 1

The assignment problem constraint x 31 + x 32 + x 33 + x 34 ≤ 2 means:

agent 3 can be assigned to no more than 2 tasks.

The first step of the maximal flow solution method is to:

arbitrarily select any path in the network from origin to destination.

In a transportation problem, items are allocated from sources to destinations:

at a minimum cost.

A ________ probability is the probability that an event will occur given that another event has already occurred.

conditional

A model is a functional relationship that includes:

equations. variables. parameters. Answer: all of the above

Mutually exclusive events are:

events that have no outcomes in common.

The ________ is the expected value of the regret for each decision.

expected opportunity loss

The ________ is computed by multiplying each decision outcome under each state of nature by the probability of its occurrence.

expected value

The ________ is the maximum amount a decision maker would pay for additional information.

expected value of perfect information

The region that satisfies all of the constraints in a graphical linear programming problem is called the:

feasible solution space.

The shortest route problem requires:

finding the quickest route from the source to each node.

A professor is planning an informal gathering for 100 or so of his closest friends. The project breaks down as follows: Which of these is not a critical path activity?

hire quartet

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):

minimization problem.

EOQ is the optimal order quantity that will ________ total inventory costs.

minimize

The minimax regret criterion:

minimizes the maximum regret.

The Hurwicz criterion:

multiplies the worst payoff by one minus the coefficient of optimism.

The probability of independent events occurring in succession is computed by ________ the probabilities of each event.

multiplying

The events in an experiment are ________ if only one can occur at a time.

mutually exclusive

On an AOA diagram, a ________ represents the beginning and end of activities, referred to as events.

node

A jewelry store makes necklaces and bracelets from gold and platinum. The store has 18 ounces of gold and 20 ounces of platinum. Each necklace requires 3 ounces of gold and 2 ounces of platinum, whereas each bracelet requires 2 ounces of gold and 4 ounces of platinum. The demand for bracelets is no more than four. A necklace earns $300 in profit and a bracelet, $400. The store wants to determine the number of necklaces and bracelets to make to maximize profit. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.

number of necklaces=4 and number of bracelets=3 Maximize profit Z=$2400

In an assignment problem:

one task can be done by only one agent.

The purpose of break-even analysis is to determine the number of units of a product to sell that will:

result in zero profit.

The first step of the minimal spanning tree solution method is to:

select any starting node.

The first step in the shortest route solution method is to:

select the node with the shortest direct route from the origin.

Variable cost does not include:

staff and management salaries.

A ________ is a gradual, long-term, up-or-down movement of demand.

trend

A branch where flow is permissible in either direction is a(n):

undirected branch .

Operating characteristics for a waiting line system include:

utilization.

What combination of x and y is a feasible solution that minimizes the value of the objective function? Min Z = 3x + 15y (1) 2x + 4y ≥ 12 (2) 5x + 2y ≥10

x = 6; y = 0

Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend. This is the data from the last 4 weeks: Determine the equation that relates ads and increased sales. Please type your solution as y=mx+b, where m is the slope and b is the y-intercept.

study

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