Exam 10: Distribution and Network Problems
Exam 1: Introduction50 Questions
Exam 2: Introduction to Probability53 Questions
Exam 3: Probability Distributions52 Questions
Exam 4: Decision Analysis48 Questions
Exam 5: Utility and Game Theory49 Questions
Exam 6: Forecasting60 Questions
Exam 7: Introduction to Linear Programming54 Questions
Exam 8: Lp Sensitivity Analysis and Interpretation of Solution49 Questions
Exam 9: Linear Programming Applications42 Questions
Exam 10: Distribution and Network Problems57 Questions
Exam 11: Integer Linear Programming49 Questions
Exam 12: Advanced Optimization Application42 Questions
Exam 13: Project Scheduling: Pertcpm41 Questions
Exam 14: Inventory Models54 Questions
Exam 15: Waiting Line Models52 Questions
Exam 16: Simulation49 Questions
Exam 17: Markov Processes44 Questions
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Draw the network for this transportation problem.
Min 2XAX + 3XAY + 5XAZ+ 9XBX + 12XBY + 10XBZ
s.t.XAX + XAY + XAZ < 500
XBX + XBY + XBZ < 400
XAX + XBX = 300
XAY + XBY = 300
XAZ + XBZ = 300
Xij > 0
(Essay)
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A dummy origin in a transportation problem is used when supply exceeds demand.
(True/False)
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The problem which deals with the distribution of goods from several sources to several destinations is the
(Multiple Choice)
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The assignment problem is a special case of the transportation problem in which all supply and demand values equal one.
(True/False)
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The network below shows the flows possible between pairs of six locations.Formulate an LP to find the maximal flow possible from Node 1 to Node 6. 
(Essay)
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Converting a transportation problem LP from cost minimization to profit maximization requires only changing the objective function;the conversion does not affect the constraints.
(True/False)
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Show both the network and the linear programming formulation for this assignment problem.

(Essay)
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The assignment problem constraint x31 + x32 + x33 + x34 < 2 means
(Multiple Choice)
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Which of the following is not true regarding an LP model of the assignment problem?
(Multiple Choice)
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The direction of flow in the shortest-route problem is always out of the origin node and into the destination node.
(True/False)
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Whenever total supply is less than total demand in a transportation problem,the LP model does not determine how the unsatisfied demand is handled.
(True/False)
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In the general linear programming model of the assignment problem,
(Multiple Choice)
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Find the maximal flow from node 1 to node 7 in the following network. 
(Essay)
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The difference between the transportation and assignment problems is that
(Multiple Choice)
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Consider the following shortest-route problem involving seven cities.The distances between the cities are given below.Draw the network model for this problem and formulate the LP for finding the shortest route from City 1 to City 7.
Path Distance
1 to 2 6
1 to 3 10
1 to 4 7
2 to 3 4
2 to 5 5
3 to 4 5
3 to 5 2
3 to 6 4
4 to 6 8
5 to 7 7
6 to 7 5
(Essay)
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