Management Science test 2

Question 1

The Deadbeats
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.

There was another way around these jobs though; instead of doing them himself, the landlord could always hire a professional in each field that could finish the job in half the time but would charge a pretty penny for that speed. Refinishing floors would cost $2700, upgrading the kitchen would cost $2500, replacing the back window with a door would cost $600, and installing a garage door opener would cost $350.

Suppose the landlord really wants the back door to be installed. For too long he has had to cut through the garage and he figures when he retires, this house will be a perfect downsize home for him to move into. How should the constraint for the back door be written if he uses the following scheme for decision variables?

Accepted Answer

x5 + x6 = 1

Answer

x5 - x6 ≤ 1

Answer

x5 + x6 ≤ 1

Answer

x5 - x6 = 1

Question 2

In a ________ integer model, all decision variables have integer solution values.

Accepted Answer

total

Answer

0-1

Answer

mixed

Answer

All of these

Question 3

The Deadbeats
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.

There was another way around these jobs though; instead of doing them himself, the landlord could always hire a professional in each field that could finish the job in half the time but would charge a pretty penny for that speed. Refinishing floors would cost $2700, upgrading the kitchen would cost $2500, replacing the back window with a door would cost $600, and installing a garage door opener would cost $350.

The landlord uses the following scheme for decision variables:

What should the objective function be?

Accepted Answer

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

Answer

Min Z = 2700x1 + 400x2 + 2500x3 + 1000x4 + 600x5 + 250x6 + 350x7 + 400x8

Answer

Min Z = 2700x1 - 400x2 + 2500x3 - 1000x4 + 600x5 - 250x6 + 350x7 - 400x8

Answer

Max Z = 100x1 - 100x2 + 80x3 - 80x4 + 15x5 - 15x6 + 20x7 - 20x8

Question 4

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.

Accepted Answer

exactly 2, 4

Answer

exactly 1, 2

Answer

at least 2, 4

Answer

at most 1, 2

Question 5

The Deadbeats
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.

There was another way around these jobs though; instead of doing them himself, the landlord could always hire a professional in each field that could finish the job in half the time but would charge a pretty penny for that speed. Refinishing floors would cost $2700, upgrading the kitchen would cost $2500, replacing the back window with a door would cost $600, and installing a garage door opener would cost $350.

The landlord uses the following scheme for decision variables:

Which of these constraints would not be appropriate for this scenario?

Accepted Answer

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

Answer

1x1 + 2x2 + 1.5x3 + 3x4 + 0.5x5 + 1x6 + 0.25x7 + 0.5x8 ≤ 4

Answer

2700x1 + 400x2 + 2500x3 + 1000x4 + 600x5 + 250x6 + 350x7 + 400x8 ≤ 3000

Answer

x3 + x4 = 1

Question 6

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 table below shows the cost ($ per item) for shipping from each DC to each region.

The demand for region A is 70,000 units; for region B, 100,000 units; for region C, 50,000 units; and for region D, 80,000 units. Assume that the minimum capacity for the distribution center will be 500,000 units.

Assume that Xij = quantity shipped from distribution i to region j.  i = 1,2,3 and j = 1, 2, 3, 4. 
Assume that Yi = 0 or 1 where i = distribution center 1, 2 or 3.

Accepted Answer

X11 + X12 + X13 + X14 - 500y1 ≤ 0.

Answer

X11 + X12 + X13 + X14 ≥ 500.

Answer

X11 + X12 + X13 + X14D + 500y1 ≤ 0.

Answer

X11 + X12 + X13 + X14 ≤ 500.

Question 7

The Deadbeats
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.

There was another way around these jobs though; instead of doing them himself, the landlord could always hire a professional in each field that could finish the job in half the time but would charge a pretty penny for that speed. Refinishing floors would cost $2700, upgrading the kitchen would cost $2500, replacing the back window with a door would cost $600, and installing a garage door opener would cost $350.

The landlord ran the model in Excel and received the answer report contained in the table. Which of the following statements is correct?

Accepted Answer

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

Answer

The rent will be $195 higher and the project will take 3.5 weeks to finish at a cost of $3700.

Answer

The rent will be $180 higher and the project will take 2.5 weeks to finish at a cost of $3700.

Answer

The rent will be $195 higher and the project will take 2.5 weeks to finish at a cost of $2900.

Question 8

The Deadbeats
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.

There was another way around these jobs though; instead of doing them himself, the landlord could always hire a professional in each field that could finish the job in half the time but would charge a pretty penny for that speed. Refinishing floors would cost $2700, upgrading the kitchen would cost $2500, replacing the back window with a door would cost $600, and installing a garage door opener would cost $350.

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?

Accepted Answer

x3 + x4 ≤ 1

Answer

x3 + x4 = 1

Answer

x3 - x4 = 1

Answer

x3 - x4 ≤ 1

Question 9

If the solution values of a linear program are rounded in order to obtain an integer solution, the solution is:

Accepted Answer

sometimes optimal and feasible.

Answer

always feasible.

Answer

always optimal and feasible.

Answer

never optimal and feasible.

Question 10

Binary variables are:

Accepted Answer

0 or 1 only.

Answer

any integer value.

Answer

any negative integer value.

Answer

any continuous value.

Question 11

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.

Accepted Answer

sometimes, optimal

Answer

always, non-optimal

Answer

always, optimal

Answer

never, non-optimal

Question 12

The Cruise
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.

For each of the duplicate excursions (e.g., snorkeling is offered in all three ports), the couple researched the quality of the activity and ranked the excursion among the available alternatives, with higher numbers indicating better quality. Thus, snorkeling in Jamaica is better than in Cozumel, and snorkeling in Cozumel is better than in Grand Cayman. For the unique experiences, i.e., the turtle farm, the default rating was the a 3.

What is an appropriate objective function for this vacation?

Accepted Answer

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

Answer

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

Answer

Min Z = 100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu

Answer

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

Question 13

If we are solving a 0-1 integer programming problem, the constraint x1 + x2 ≤ 1 is a ________ constraint.

Accepted Answer

mutually exclusive

Answer

conditional

Answer

corequisite

Answer

multiple-choice

Question 14

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 is not an element of the objective function?

How many constraints are required to model this as a linear program?

Accepted Answer

10

Answer

9

Answer

8

Answer

12

Question 15

Semester Prep
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?

Question 16

Semester Prep
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?

Accepted Answer

DM = 0

Answer

SM + GM + TM + DM ≤ 1

Answer

DI + DP + DQ + DC + DL ≥ 2

Answer

DI + DP + DQ + DC + DL + DM ≤ 3

Question 17

Which of the following are assumptions or requirements of the transportation problem?

Accepted Answer

Goods are the same, regardless of source.

Answer

There must be multiple sources

Answer

There must be multiple destinations.

Answer

There must be multiple routes between each source and each destination.

Question 18

In a balanced transportation model where supply equals demand:

Accepted Answer

all constraints are equalities.

Answer

all constraints are inequalities.

Answer

none of the constraints are equalities.

Answer

none of the constraints are inequalities.

Question 19

Semester Prep
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?

Accepted Answer

David is assigned to teach Introduction to Operations.

Answer

tillegg til spm.

Answer

Tim is assigned to teach two courses.

Answer

Saba is assigned to teach two courses.

Answer

Geoff is assigned to teach Introduction to Operations.

Question 20

In a transshipment problem, items may be transported:

Accepted Answer

All of these.

Answer

from destination to destination.

Answer

from one transshipment point to another.

Answer

directly from sources to destinations.

Question 21

In the linear programming formulation of a transportation network:

Accepted Answer

All of these.

Answer

there is one variable for each arc.

Answer

there is one constraint for each node.

Answer

the sum of variables corresponding to arcs out of an source node is constrained by the supply at that node.

Question 22

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

Accepted Answer

at a minimum cost.

Answer

at a minimum revenue.

Answer

at a minimum profit.

Answer

at a maximum cost.

Question 23

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

Accepted Answer

source, demand

Answer

demand, source

Answer

source, destination

Answer

destination, source

Question 24

Semester Prep
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.

Accepted Answer

Tim is assigned to teach two courses.

Answer

Addition to problem.

Answer

Geoff is assigned to teach Introduction to Operations.

Answer

David is assigned to teach Management Science.

Answer

Saba is assigned to teach two courses.

Question 25

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 is not an element of the objective function?

Which of these constraints allows for some inventory to be held at one of the crossdock facilities?

Accepted Answer

AD + BD + CD - DF - DG - DH ≥ 0

Answer

AD + BD + CD + DF + DG + DH = 600

Answer

AD + BD + CD - DF - DG - DH = 600

Answer

AD + BD + CD = DF - DG - DH = 600

Question 26

Semester Prep
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?

Accepted Answer

SI + GI + TI + DI ≥ 6

Answer

SI + GI + TI + DI ≤ 6

Answer

SI + SP + SQ + SC + SL + SM ≤ 6

Answer

SI + SP + SQ + SC + SL + SM ≥ 6

Question 27

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 is not an element of the objective function?

Which of these is not an element of the objective function?

Accepted Answer

600D

Answer

3CE

Answer

9EG

Answer

4DF

Question 28

Semester Prep
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?

Accepted Answer

SI + SP + SQ + SC + SL + SM ≤ 3

Answer

SM + GM + TM + DM ≥ 1

Answer

SI + GI + TI + DI ≤ 6

Answer

DI + DP + DQ + DC + DL + DM = 2

Question 29

If we wanted to represent an office layout as a network flow problem, which of the following would be represented as a branch?

Accepted Answer

Heating and ventilation systems

Answer

Offices

Answer

Waiting areas

Answer

Computer rooms

Question 30

If we wanted to represent an urban transportation system as a network flow problem, which of the following would be represented as nodes?

Accepted Answer

Street intersections

Answer

Streets

Answer

pedestrian right of ways

Answer

railway lines

Question 31

In a network modeling problem, the linear programming decision variables are given by:

Accepted Answer

Network branches

Answer

Source node

Answer

Network nodes

Answer

Sink node

Question 32

In a network flow model, a directed branch:

Accepted Answer

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

Answer

is a branch with a positive distance value.

Answer

is a branch on which the flow capacity is exhausted.

Answer

is a branch in which flow is not possible in either direction.

Question 33

Comedy Pasture
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.

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?

Accepted Answer

270

Answer

290

Answer

280

Answer

295

Question 34

Comedy Pasture
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.

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

Accepted Answer

Grass - Pond = 190'

Answer

Fruit - Shade = 165'

Answer

Barn - Pond = 200'

Answer

Fruit - Hay = 160'

Question 35

Comedy Pasture
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?

Accepted Answer

155'

Answer

150'

Answer

160

Answer

165

Question 36

Comedy Pasture
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.

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?

Accepted Answer

270'

Answer

265'

Answer

275'

Answer

260'

Question 37

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: