BA-545-001 Test #2 JSU (Dr. Lu)

The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4). Minimize X1 + X2 + X3 + X4 Subject to: X1 + X4 >= 12 (shift 1) X1 + X2 >= 15 (shift 2) X2 + X3 >= 16 (shift 3) X3 + X4 >= 14 (shift 4) All variables >= 0 Final optimal solution: Z = 29.000 X1 = 13.000 X2 = 2.000 X3 = 14.000 X4 = 0.000 According to the above constraints and final optimal solution, which describes a labor planning problem and its solution, how many workers would restarting work on shift 1? A) 13 B) 12 C) 2 D) 0

A) 13

A company must assign mechanics to each of four jobs. The time involved varies according to individual abilities. Table 9-1 shows how many minutes it takes each mechanic to perform each job. If the optimal assignments are made, how many total minutes would be required for completing the jobs? A) 16 B) 0 C) 4 D) 17

A) 16

A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. Linear programming is to be used to develop a production schedule. Define the variables as follows: T = number of tables produced each week C = number of chairs produced each week According to Table 8-1, which describes a production problem, which of the following would be a necessary constraint in the problem? A) 3T + 2C <= 200 B) 120T + 80C >= 1000 C) T + C >= 40 D) 2T + 2C <= 40

A) 3T + 2C <= 200

A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. Linear programming is to be used to develop a production schedule. Define the variables as follows: T = number of tables produced each week C = number of chairs produced each week According to Table 8-1, which describes a production problem, suppose it is decided that the number of hours used in the assembly process must be at least 80 percent of the time available. How would this constraint be written? A) 3T + 2C >= 160 B) 3T + 2C >= 200 C) 3T + 2C <= 200 D) 3T + 2C <=160

A) 3T + 2C >= 160

A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There're different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below: The requirements for the survey are as follows: The survey must have at least 1500 students At least 400 graduate students At least 100 graduate students should be from the West No more than 500 undergraduate students should be from the East At least 75 graduate student should be from the Central region At least 300 students should be from the West The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region. According to Table 8-3, what is the objective function? A) Minimize 10X1 + 15X2 + 12X3 + 18X4 + 15X5 + 21X6 B) Maximize 10X1 + 12X2 + 15X3 + 15X4 + 18X5 + 21X6 C) Minimize 10X1 + 12X2 + 15X3 + 15X4 + 18X5 + 21X6 D) Maximize 10X1 + 15X2 + 12X3 + 18X4 + 15X5 + 21X6

A) Minimize 10X1 + 15X2 + 12X3 + 18X4 + 15X5 + 21X6

The Win Big Gambling Club promotes gambling junkets from a large midwestern city to casinos in the Bahamas. The club has budgeted up to $8,000 per week for local advertising. The money is to be allocated among four promotional media: TV spots, newspaper ads, and two types of radio advertisements. Win Big's goal is to reach the largest possible high-potential audience through the various media. The following table presents the number of potential gamblers reached by making use of an advertisement in each of the four media. It also provides the cost per advertisement placed and the maximum number of ads that can be purchased per week. Win Big's contractual arrangements require that at least five radio spots be placed each week. To ensure a broad-scoped promotional campaign, management also insists that no more than $1,800 be spent on radio advertising every week. Which of the following is considered a decision variable? A) The number of ads of each type B) The amount spent on each ad type C) What types of ads to offer D) The overall advertising budget

A) The number of ads of each type

A round-the-clock manufacturing company has minimal daily requirements for workers in each of its 4-hour slots as listed in the table. A work shift consists of two contiguous slots, and period 1 follows immediately after period 6. What one of the following constraints is associated with the requirement that the minimum number of workers at period 2 is at least 50? A) X1 + X2 >= 50 B) X2 + X3 >= 50 C) X2 >= 50 D) X1 >= 50

A) X1 + X2 >= 50

A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There're different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below: The requirements for the survey are as follows: The survey must have at least 1500 students At least 400 graduate students At least 100 graduate students should be from the West No more than 500 undergraduate students should be from the East At least 75 graduate student should be from the Central region At least 300 students should be from the West The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region. According to Table 8-3, the constraint that there must be at least 400 graduate students is expressed as _____. A) X2 + X4 + X6 >= 400 B) X1 + X3 + X5 >= 400 C) X1 + X2 + X3 + X4 + X5 + X6 <= 400 D) X1 + X2 + X3 + X4 + X5 + X6 >= 400

A) X2 + X4 + X6 >= 400

The Executive Furniture Corporation is faced with the transportation problem shown in Figure 1. The company would like to minimize the transportation costs while meeting the demand at each destination and not exceeding the supply at each source. In formulating this as a linear program, there are three supply constraints (one for each source) and three demand constraints (one for each destination). The decisions to be made involve the number of units to ship on each route, so there is one decision variable for each arc (arrow) in the network. Let xij = number of units shipped from source i to destination j, where i = 1, 2, 3, with 1 = Des Moines, 2 = Evansville, and 3 = Fort Lauderdale j = 1, 2, 3, with 1 = Albuquerque, 2 = Boston, and 3 = Cleveland Which of the following constraints is associated with the requirement that shipments from Evansville (source 2) can not be more than 300? A) X21 + X22 + X23 <= 300 B) X31 + X32 + X33 <= 300 C) X11 + X21 + X31 = 300 D) X12 + X22 + X32 = 200

A) X21 + X22 + X23 <= 300

The two most common objectives for the assignment problem are the minimization of _____. A) total costs or total time B) total time or inexperience C) uncertainty or inexperience D) total costs or inexperience

A) total costs or total time

The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4). Minimize X1 + X2 + X3 + X4 Subject to: X1 + X4 >= 12 (shift 1) X1 + X2 >= 15 (shift 2) X2 + X3 >= 16 (shift 3) X3 + X4 >= 14 (shift 4) All variables >= 0 Final optimal solution: Z = 29.000 X1 = 13.000 X2 = 2.000 X3 = 14.000 X4 = 0.000 According to the above constraints and final optimal solution, which describes a labor planning problem and its solution, how many workers would restarting work on shift 3? A) 16 B) 14 C) 13 D) 0

B) 14

Cutlery Corner sells specialty knives to knife enthusiasts. They have a generous advertising budget to spread among four media channels: their recurring TV show, newspaper ads, radio spots, and social media. Tom, the owner and star of the TV show, is adamant that the show air at least twice a day, seven days a week, but decides you can allocate the rest of the budget as you see fit. The TV shows draw 20,000 interested viewers per airing and costs $2,000 per episode. Daily newspaper ads cost $1,500 and can be run up to seven days a week. Given the level of readership for newspapers, you settle on a figure of 10,000 people reached per ad. Radio spots come in 15 second and 30 second durations - 15 second spots in drive time cost $500 per airing and 30 second spots any other time of the day are a relative bargain at $250. Drive time spots are available twice a day (morning and evening commute) five days a week and reach 12,000, and the "any other time" spots could air up to six times a day seven days a week and reach 5,000 listeners per airing. The social media campaign is run out of a specialist's office and a burst of blogging, tweeting, vining, and whatever else happens to be in fashion at the time costs $700 and reaches 10,000. Naturally, it occurs to you that this could be modeled as a linear program, so you define your variables as: T = dollars spent on a TV campaign N = dollars spent on newspaper advertisements RF = dollars spent on fifteen second drive time radio advertisements RT = dollars spent on thirty second radio advertisements S = dollars spent on the social media campaign For the scenario in Table 8-8, what is the exposure constraint if the problem is set up to minimize advertising costs as long as you reach 1,000,000 customers? A) 20,000T + 10,000N + 12,000RF + 5,000RT + 10,000S <= 1,000,000 B) 20,000T + 10,000N + 12,000RF + 5,000RT + 10,000S >= 1,000,000 C) 2,000T + 1,500N + 500RF + 250RT + 700S <= 1,000,000 D) 2,000T + 1,500N + 500RF + 250RT + 700S >= 1,000,000

B) 20,000T + 10,000N + 12,000RF + 5,000RT + 10,000S >= 1,000,000

A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. Linear programming is to be used to develop a production schedule. Define the variables as follows: T = number of tables produced each week C = number of chairs produced each week According to Table 8-1, which describes a production problem, suppose it is decided that the number of hours used in the assembly process must be at least 90 percent of the number of hours used in the finishing department. How would this constraint be written? A) 3T + 2C <= 0.9(2T + 2C) B) 3T + 2C >= 0.9(2T + 2C) C) 3T + 2C >= 162 D) 3T + 2C <= 162

B) 3T + 2C >= 0.9(2T + 2C)

A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There're different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below: The requirements for the survey are as follows: The survey must have at least 1500 students At least 400 graduate students At least 100 graduate students should be from the West No more than 500 undergraduate students should be from the East At least 75 graduate student should be from the Central region At least 300 students should be from the West The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region. According to Table 8-3, the constraint that the survey must have at least a total of 1500 students is expressed as _____. A) X1 + X2 + X3 + X4 + X5 + X6 <= 1500 B) X1 + X2 + X3 + X4 + X5 + X6 >= 1500 C) 10X1 + 15X2 + 12X3 + 18X4 + 15X5 + 21X6 >= 1500 D) 10X1 + 15X2 + 12X3 + 18X4 + 15X5 + 21X6 <= 1500

B) X1 + X2 + X3 + X4 + X5 + X6 >= 1500

The International City Trust (ICT) invests in short-term trade credits, corporate bonds, gold stocks, and construction loans. To encourage a diversified portfolio, the board of directors has placed limits on the amount that can be committed to any one type of investment. ICT has $5 million available for immediate investment and wishes to do two things: (1) Maximize the return on the investments made over the next 6 months and (2) Satisfy the diversification requirements as set by the board of directors. The specifics of the investment possibilities are as follows: In addition, the board specifies that at least 55% of the funds invested must be in gold stocks and construction loans, and that no less than 15% must be invested in trade credits. What one of the following constraints is associated with the requirement that ICT has $5 million available for immediate investment? A) X1 + X2 + X3 <= 5,000,000 B) X1 + X2 + X3 + X4 <= 5,000,000 C) X1 + X2 + X3 + X4 = 5,000,000 D) X1 + X2 + X3 + X4 >= 5,000,000

B) X1 + X2 + X3 + X4 <= 5,000,000

Don Yale, president of Hardrock Concrete Company, has plants in three locations and is currently working on three major construction projects, located at different sites. The shipping cost per truck-load of concrete, plant capacities, and project requirements are provided in the accompanying table. Which of the following constraints is associated with the requirement that the demand 40 units of Project A must be stratified? A) X12 + X22 + X32 = 50 C) X13 + X23 + X33 = 60 D) X21 + X22 + X23 <= 50

B) X11 + X21 + X31 = 40

Management Sciences Associates (MSA) is a marketing and computer research firm based in Washington, D.C., that handles consumer surveys. One of its clients is a national press service that periodically conducts political polls on issues of widespread interest. In a survey for the press service, MSA determines that it must fulfill several requirements in order to draw statistically valid conclusions on the sensitive issue of new U.S. immigration laws: 1. Survey at least 2,300 U.S. households 2. Survey at least 1,000 households whose heads are <= 30 years old 3. Survey at least 600 households whose heads are between 31 and 50 4. Ensure that a least 15% of those surveyed live in a s Tate that borders Mexico 5. Ensure that no more than 20% of those surveyed who are 51 years of age or over live in a state that borders Mexico. MSA decides that all surveys should be conducted in person. It estimates that the costs of reaching people in each age and region category are as follows: Which decision variable is associated with the number of those surveyed (age 31-50) living in the state bordering Mexico? A) X1 B) X2 C) X3 D) X5

B) X2

The Win Big Gambling Club promotes gambling junkets from a large midwestern city to casinos in the Bahamas. The club has budgeted up to $8,000 per week for local advertising. The money is to be allocated among four promotional media: TV spots, newspaper ads, and two types of radio advertisements. Win Big's goal is to reach the largest possible high-potential audience through the various media. The following table presents the number of potential gamblers reached by making use of an advertisement in each of the four media. It also provides the cost per advertisement placed and the maximum number of ads that can be purchased per week. Win Big's contractual arrangements require that at least five radio spots be placed each week. To ensure a broad-scoped promotional campaign, management also insists that no more than $1,800 be spent on radio advertising every week. Which of the following constraints is associated with the requirement that at least five radio spots be placed each week? A) X2 <= 5 B) X3 + X4 >= 5 C) 290X3 + 380X4 <= 1,800 D) 800X1 + 925X2 + 290X3 + 380X4 <= 8,000

B) X3 + X4 >= 5

Media selection problems are typically approached with LP by either _____. A) maximizing audience exposure or maximizing number of ads per time period B) maximizing audience exposure or minimizing advertising costs C) minimizing the number of different media or minimizing advertising costs D) maximizing the number of different media or minimizing advertising costs

B) maximizing audience exposure or minimizing advertising costs

The Pointy-haired boss has five projects to assign and decides to go against all convention and assign them to individuals rather than project teams. He has the Elbonians estimate the labor cost in dollars of each possible assignment and that information is summarized in the table. How many constraints are in an LP formulation of this problem? A) 25 B) 11 C) 10 D) 5

C) 10

The Pointy-haired boss has five projects to assign and decides to go against all convention and assign them to individuals rather than project teams. He has the Elbonians estimate the labor cost in dollars of each possible assignment and that information is summarized in the table. What are the components of the objective function associated with Project 3? A) DiP1 + WaP1 + AlP1 + AsP1 + DoP1 = 1 B) 29DiP3 + 25WaP3 + 22AlP3 + 34AsP3 + 20DoP3 <= 1 C) 29DiP3 + 25WaP3 + 22AlP3 + 34AsP3 + 20DoP3 D) 29DiP3 + 25WaP3 + 22AlP3 + 34AsP3 + 20DoP3 = 1

C) 29DiP3 + 25WaP3 + 22AlP3 + 34AsP3 + 20DoP3

A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. Linear programming is to be used to develop a production schedule. Define the variables as follows: T = number of tables produced each week C = number of chairs produced each week According to Table 8-1, which describes a production problem, suppose it is decided that there must be 4 chairs produced for every table. How would this constraint be written? A) T = 4C B) T >= C C) 4T = C D) T <= C

C) 4T = C

Diamond Jewelers is trying to determine how to advertise in order to maximize their exposure. Their weekly advertising budget is $10,000. They are considering three possible media: TV, newspaper, and radio. Information regarding cost and exposure is given in the table below: Let T = the # of TV ads, N = the # of newspaper ads, and R = the # of radio ads. According to Table 2, what is the advertising budget constraint? A) 10T + 7N + 20R <= 10,000 B) 800T + 1000N + 400R >= 10,000 C) 800T + 1000N + 400R <= 10,000 D) 10T + 7N + 20R >= 10,000

C) 800T + 1000N + 400R <= 10,000

The Pointy-haired boss has five projects to assign and decides to go against all convention and assign them to individuals rather than project teams. He has the Elbonians estimate the labor cost in dollars of each possible assignment and that information is summarized in the table. Use Solver to determine which worker is assigned Project 1. A) Alice B) Wally C) Asok D) Dilbert

C) Asok

The Pointy-haired boss has five projects to assign and decides to go against all convention and assign them to individuals rather than project teams. He has the Elbonians estimate the labor cost in dollars of each possible assignment and that information is summarized in the table. What is the LP constraint associated with Project 1? A) DiP1 + WaP1 + AlP1 + AsP1 + DoP1 >= 0 B) DiP1 + WaP1 + AlP1 + AsP1 + DoP1 >= 1 C) DiP1 + WaP1 + AlP1 + AsP1 + DoP1 = 1 D) DiP1 + WaP1 + AlP1 + AsP1 + DoP1 <= 1

C) DiP1 + WaP1 + AlP1 + AsP1 + DoP1 = 1

A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. Linear programming is to be used to develop a production schedule. Define the variables as follows: T = number of tables produced each week C = number of chairs produced each week According to Table 8-1, which describes a production problem, what would the objective function be? A) Maximize T + C B) Minimize 6T + 5C C) Maximize 120T + 80C D) Maximize 200T + 200C

C) Maximize 120T + 80C

Diamond Jewelers is trying to determine how to advertise in order to maximize their exposure. Their weekly advertising budget is $10,000. They are considering three possible media: TV, newspaper, and radio. Information regarding cost and exposure is given in the table below: Let T = the # of TV ads, N = the # of newspaper ads, and R = the # of radio ads. According to Table 2, which describes a media selection problem, what would the objective function be? A) Maximize 10T + 7N + 20R B) Minimize 10T + 7N + 20R C) Maximize 7000T + 8500N + 3000R D) Minimize 7000T + 8500N + 3000R

C) Maximize 7000T + 8500N + 3000R

The Pointy-haired boss has five projects to assign and decides to go against all convention and assign them to individuals rather than project teams. He has the Elbonians estimate the labor cost in dollars of each possible assignment and that information is summarized in the table. Use Solver to determine which of these assignments is correct. A) Project 4 = Wally B) Project 2 = Alice C) Project 3 = Dogbert D) Project 3 = Alice

C) Project 3 = Dogbert

Diamond Jewelers is trying to determine how to advertise in order to maximize their exposure. Their weekly advertising budget is $10,000. They are considering three possible media: TV, newspaper, and radio. Information regarding cost and exposure is given in the table below: Let T = the # of TV ads, N = the # of newspaper ads, and R = the # of radio ads. According to Table 2, which of the following sets of inequalities properly represent the limits on advertisements per week by media? A) T >= 10; N >= 7; R >= 20 B) T + R + N >= 37 C) T <= 10; N <= 7; R <= 20 D) T + R + N <= 37

C) T <= 10; N <= 7; R <= 20

When using a general LP model for transportation problems, if there are 4 sources and 3 destinations, which of the following statements is true? A) There are typically 12 decision variables and 12 constraints B) There are typically 7 decision variables and 7 constraints C) There are typically 12 decision variables and 7 constraints D) There are typically 4 decision variables and 3 constraints

C) There are typically 12 decision variables and 7 constraints

The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4). Minimize X1 + X2 + X3 + X4 Subject to: X1 + X4 >= 12 (shift 1) X1 + X2 >= 15 (shift 2) X2 + X3 >= 16 (shift 3) X3 + X4 >= 14 (shift 4) All variables >= 0 Final optimal solution: Z = 29.000 X1 = 13.000 X2 = 2.000 X3 = 14.000 X4 = 0.000 According to the above constraints and final optimal solution, which describes a labor planning problem and its solution, how many workers would restarting work on shift 4? A) 1 B) 16 C) 14 D) 0

D) 0

The Pointy-haired boss has five projects to assign and decides to go against all convention and assign them to individuals rather than project teams. He has the Elbonians estimate the labor cost in dollars of each possible assignment and that information is summarized in the table. How many decision variables are in an LP formulation of this problem? A) 5 B) 9 C) 10 D) 25

D) 25

The network in Figure 2 represents a problem faced by the Fix-It Shop, which has just received three new repair projects that must be completed quickly: (1) a radio, (2) a toaster oven, and (3) a coffee table. Three repair persons, each with different talents, are available to do the jobs. The shop owner estimates the cost in wages if one worker is assigned to each of the three projects. The costs differ due to the talents of each worker. The owner wishes to assign the jobs so that total cost is minimized, each job has one person assigned to it, and each person is assigned to only one job. When we interpret our optimal solution, what is the meaning of X13 = 1? A) Cooper is assigned to Project 1 B) Brown is assigned to Project 2 C) Adams is assigned to Project 1 D) Adams is assigned to Project 3

D) Adams is assigned to Project 3

Hong Kong Bank of Commerce and Industry is a busy bank that has requirements for between 10 and 18 tellers, depending on the time of day. The lunch time, from noon to 2pm, is usually heaviest. Table 2 indicates the workers needed at various hours that the bank is open. The bank now employs 12 full-time tellers, but many people are on its roster of available part-time employees. A part-time employee must put in exactly 4 hours per day but can start anytime between 9am and 1pm. Part-timers are. fairly inexpensive labor pool, since no retirement or lunch benefits are provided for them. Full-timers on the other hand, work from 9am to 5pm abut are allowed 1 hour for lunch. (Half of the full-timers eat at 11am, the other half at noon). Full-timers thus provide 35 hours per week of productive labor time. By corporate policy, the bank limits part-time hours to a maximum of 50% of the day's total requirement. Part-timers earn $8 per hour (or $32 per day) on average, and full-timers earn $100 per day in salary and benefits, on average. What one of the following constraints is associated with the requirement that the minimum number of tellers from 2pm-3pm is at least 17? A) P5 >= 17 B) P4 + P5 >= 17 C) P5 + P6 >= 17 D) F + P3 + P4 + P5 >= 17

D) F + P3 + P4 + P5 >= 17

Cutlery Corner sells specialty knives to knife enthusiasts. They have a generous advertising budget to spread among four media channels: their recurring TV show, newspaper ads, radio spots, and social media. Tom, the owner and star of the TV show, is adamant that the show air at least twice a day, seven days a week, but decides you can allocate the rest of the budget as you see fit. The TV shows draw 20,000 interested viewers per airing and costs $2,000 per episode. Daily newspaper ads cost $1,500 and can be run up to seven days a week. Given the level of readership for newspapers, you settle on a figure of 10,000 people reached per ad. Radio spots come in 15 second and 30 second durations - 15 second spots in drive time cost $500 per airing and 30 second spots any other time of the day are a relative bargain at $250. Drive time spots are available twice a day (morning and evening commute) five days a week and reach 12,000, and the "any other time" spots could air up to six times a day seven days a week and reach 5,000 listeners per airing. The social media campaign is run out of a specialist's office and a burst of blogging, tweeting, vining, and whatever else happens to be in fashion at the time costs $700 and reaches 10,000. Naturally, it occurs to you that this could be modeled as a linear program, so you define your variables as: T = dollars spent on a TV campaign N = dollars spent on newspaper advertisements RF = dollars spent on fifteen second drive time radio advertisements RT = dollars spent on thirty second radio advertisements S = dollars spent on the social media campaign What is the objective function if the problem is set up to determine the least expensive advertising campaign? A) Min 20,000T + 10,000N + 12,000RF + 5,000RT + 10,000S B) Max 20,000T + 10,000N + 12,000RF + 5,000RT + 10,000S C) Max 2,000T + 1,500N + 500RF + 250RT + 700S D) Min 2,000T + 1,500N + 500RF + 250RT + 700S

D) Min 2,000T + 1,500N + 500RF + 250RT + 700S

Management Sciences Associates (MSA) is a marketing and computer research firm based in Washington, D.C., that handles consumer surveys. One of its clients is a national press service that periodically conducts political polls on issues of widespread interest. In a survey for the press service, MSA determines that it must fulfill several requirements in order to draw statistically valid conclusions on the sensitive issue of new U.S. immigration laws: 1. Survey at least 2,300 U.S. households 2. Survey at least 1,000 households whose heads are <= 30 years old 3. Survey at least 600 households whose heads are between 31 and 50 4. Ensure that a least 15% of those surveyed live in a s Tate that borders Mexico 5. Ensure that no more than 20% of those surveyed who are 51 years of age or over live in a state that borders Mexico. MSA decides that all surveys should be conducted in person. It estimates that the costs of reaching people in each age and region category are as follows: Which of the following is considered a decision variable? A) The total number surveyed B) The overall survey budget C) The number of people to conduct interviews D) The number of people to survey in each market segment

D) The number of people to survey in each market segment

T/F) The linear programming approach to media selection problems is typically to either maximize the number of ads placed per week or to minimize advertising costs.

False (It is to either maximize AUDIENCE EXPOSURE or to minimize advertising costs)

T/F) A typical transportation problem may ask the question, "How many of X should be shipped to point E from source A?"

True

T/F) In a transportation problem, a single source may supply something to all destinations.

True

T/F) The objective of a transportation problem solution is to schedule shipments from sources to destinations while minimizing total transportation and production costs.

True

T/F) The points on the network are referred to as nodes.

True

T/F) Transportation models may be used when a firm is trying to decide where to locate a new facility.T

True