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Practical Management Science 5th Edition - Test Bank

Practical Management Science 5th Edition - Test Bank   Instant Download - Complete Test Bank With Answers     Sample Questions Are Posted Below   1. Problems which deal with the direct distribution of products from supply locations to demand locations are called:   a. transportation problems   b. assignment problems   c. network problems   …

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Practical Management Science 5th Edition – Test Bank

 

Instant Download – Complete Test Bank With Answers

 

 

Sample Questions Are Posted Below

 

1. Problems which deal with the direct distribution of products from supply locations to demand locations are called:

  a. transportation problems
  b. assignment problems
  c. network problems
  d. transshipment problems

 

ANSWER:   a
POINTS:   1

 

2. The objective in transportation problems is typically to:

  a. maximize profits
  b. maximize revenue
  c. minimize costs
  d. maximize feasibility

 

ANSWER:   c
POINTS:   1

 

3. A particularly useful Excel function in the formulation of transportation problems is the:

  a. IF function
  b. SUMIF function
  c. SUMPRODUCT function
  d. NPV function

 

ANSWER:   c
POINTS:   1

 

4. The decision variables in transportation problems are:

  a. profits
  b. costs
  c. flows
  d. capacities

 

ANSWER:   c
POINTS:   1

 

5. For all routes with positive flows in an optimized transportation problem, the reduced cost will be:

  a. zero
  b. how much less shipping costs would have to be for shipments to occur along that route
  c. how much more shipping costs would have to be for shipments to occur along that route
  d. how much the capacity is along that shipping route

 

ANSWER:   a
POINTS:   1

 

6. The network model representation of the transportation problem has the following advantage relative to the special case of a simple transportation model:

  a. it does not require capacity restrictions on the arcs of the network
  b. the flows in the network model don’t all necessarily have to be from supply locations to demand locations
  c. a network model representation is generally easier to formulate and solve
  d. All of these options

 

ANSWER:   b
POINTS:   1

 

7. In a typical network model representation of the transportation problem, the nodes indicate

  a. roads
  b. rail lines
  c. geographic locations
  d. rivers

 

ANSWER:   c
POINTS:   1

 

8. In a minimum cost network flow model, the flow balance constraint for each supply node has the form

  a. Flow in ≥ Flow out + Net supply
  b. Flow out ≥ Flow in + Net demand
  c. Flow in = Flow out
  d. Flow out ≤ Flow in + Net supply
  e. Flow in ≤ Flow out + Net demand

 

ANSWER:   d
POINTS:   1

 

9. In an assignment model of machines to jobs, the machines are analogous to which of the following in a transportation problem?

  a. Suppliers
  b. Customers
  c. Flows
  d. Unit capacities

 

ANSWER:   a
POINTS:   1

 

10. Which of the following is not an example of a condition that a more complex logistics model might include?

  a. Multiple products
  b. Multiple modes of transportation
  c. Multiple time periods
  d. Multiple objectives

 

ANSWER:   d
POINTS:   1

 

11. The graphical representation of a network in an optimization problem can be an aid in the development of a spreadsheet model.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1

 

12. It is useful to model network problems by listing all of the arcs and their corresponding flows in one long, comprehensive list.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1

 

13. In transportation problems, shipments between supply points or between demand points are possible.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1

 

14. In transportation problems, the three sets of input numbers that are required are capacities, demands and flows.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1

 

15. In network models of transportation problems, arcs represent the routes for getting a product from one node to another.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1

 

16. In an optimized shipping plan, most of the shipments occur on the low-cost routes, but this is not always the case.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1

 

17. Transshipment points are locations where goods neither originate nor end up, but goods are allowed to enter such points to be shipped out to their eventual destinations.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1

 

18. The flow balance constraint for each transshipment node in a network flow model has the form Flow in = Flow out.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1

 

19. A typical shortest path problem is a special case of the general network flow model.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1

 

20. The cost of an arc in a shortest path problem is equal to the distance of the arc.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1

 

Exhibit 5-1

Sinclair Plastics operates two chemical plants which produce polyethylene; the Ohio Valley plant which can produce up to 10,000 tons per month and the Lakeview plant which can produce up to 7,000 tons per month. Sinclair sells its polyethylene to three different auto manufacturing plants, Grand Rapids (demand = 3000 tons per month), Blue Ridge (demand = 5000 tons per month), and Sunset (demand = 4000 tons per month). The costs of shipping between the respective plants is shown in the table below:

  Grand Rapids Blue Ridge Sunset
Ohio Valley 50 40 100
Lakeview 60 50 75

 

21. Refer to Exhibit 5-1. Formulate (write out algebraically) an LP transportation model to help Sinclair minimize its shipping costs.

ANSWER:   Let the decision variables (quantities shipped between plants) be:

  Grand Rapids (1) Blue Ridge (2) Sunset (3)
Ohio Valley (1) x11 x12 x13
Lakeview (2) x21 x22 x23

 

Maximize 50x11 + 40x12 + 100x13 + 60x21 + 50x22 + 75x23
Subject to:  
  x11 + x12+ x13 ≤ 10000 (Ohio Valley supply)
  x21 + x22+ x23 ≤ 7000 (Lakeview supply)
  x11 + x21 ≥ 3000 (Grand Rapids demand)
  x12 + x22 ≥ 5000 (Blue Ridge demand)
  x13 + x23 ≥ 4000 (Sunset demand)
POINTS:   1

 

22. Refer to Exhibit 5-1. Implement the LP model in Solver and obtain the optimal shipping plan. What is the optimized cost?

ANSWER:   The optimized model below shows the shipping plan, which results in a total cost of $650,000.
POINTS:   1

 

23. Refer to Exhibit 5-1. Suppose the Lakeview plant was required to run at capacity. How much more would the shipping plan cost Sinclair?

ANSWER:   The optimized model below shows the updated shipping plan, which results in a total cost of $680,000, or $30,000 more than the base case.
POINTS:   1

 

24. Refer to Exhibit 5-1. Suppose the shipping capacity between any two plants was limited to 2500 tons per month. Design and implement a network flow version of this model in Solver and obtain the optimal shipping plan. How much more would the shipping plan cost Sinclair in that case?

ANSWER:   The optimized model below shows the updated shipping plan, which results in a total cost of $717,500, or $67,500 more than the base case.
POINTS:   1

 

Exhibit 5-2

A small engineering firm employs one civil engineer, two engineering technicians, and one summer intern. The types of projects the firm does includes surveys (typically 7 per month), designs (5 per month), and construction project plans (four per month). The times, in hours, required for each employee to complete teach type of project are shown below. Based on their capabilities and time spent on travel and administrative tasks, the engineer, tech 1, tech 2, and intern can handle 5, 4, 4, and 3 projects per month, respectively.

  Survey Design Plan
Engineer 30 35 30
Technician 1 25 50 45
Technician 2 20 55 40
Intern 35 45 55

 

25. Refer to Exhibit 5-2. Implement a LP model in Solver and determine the optimal monthly assignment plan for the firm. What is the total number of hours that will be assigned to projects each month?

ANSWER:   The optimized model below shows the assignment plan, which results in 495 total hours per month. (Note that there are multiple optimal solutions.)

POINTS:   1

 

26. Refer to Exhibit 5-2. Suppose Tech 2 will not be available during the next month. Keeping the same number of design and construction plan projects, how many survey projects would the firm be able to do? What would be the revised assignment plan in that case?

ANSWER:   The number of survey jobs must be reduced to three in order for Solver to find a feasible solution. The optimized model below shows the revised assignment plan, which results in 415 total hours for the month.
POINTS:   1

 

27. Refer to Exhibit 5-2. Based on their salaries, the engineer, tech 1, tech 2, and intern earn $90, $65, $65, and $45 per hourly, respectively. Change the firm’s objective function to minimize staff costs and find the optimal assignment plan. Does it change from the base case?

ANSWER:   The assignment plan may change slightly. The engineer drops one design project and takes on one more planning project, with Tech 1 picking up the dropped design project.

POINTS:   1

 

Exhibit 5-3

Steve the auto parts salesman is trying to navigate his way between the rural west Texas towns of Jonestown and Upland. The possible routes for this trip are shown below, along with the mileage along each route.

 

28. Refer to Exhibit 5-3. What general type of LP model can be applied to this problem? What modifications to the general type are required for this problem?

ANSWER:   The problem can be formulated as a minimum cost network flow model. There are no arc capacities required for this type of problem (shortest path problem).
POINTS:   1

 

29. Refer to Exhibit 5-3. Implement the appropriate model in Solver and determine the shortest path for Steve. How many total miles will he travel on his trip?

ANSWER:   The optimized shortest path model is shown below. Steve will travel 110 miles, through Haleyville, Krickburg, and Baker.
POINTS:   1

 

30. Refer to Exhibit 5-3. Suppose the roads leading into and out of Krickburg are unpaved, so Steve would only be able to travel half of his usual 60 mile/hour speed on those routes. Modify the model to account for this condition. Would the shortest path change from the base case solution?

ANSWER:   The revised shortest path (in minutes) is shown below. Steve will now travel 115 miles (i.e., 115 minutes @ 60 miles per hour) and Krickburg is no longer on his route.
POINTS:   1

 

 

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