American Red Cross wants to determine the least expensive way to transport available blood donations from Pittsburgh and Staunton to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk. The supply and demand for donated blood is shown the following figure along with the unit cost of shipping along each possible arc: Pittsburgh -1,300 Staunton -1,200 2 Charleston Roanoke 300 200 Richmond 6 Norfolk 800 700 Suffolk Which statement about decision variables and the objective function is not true? C. Let Cij be the unit cost of shipping blood donations from node i to node j Xij be the amount of blood donations shipped from node i to node j. The objective function is Min[ the summation of all CijXij). 400 A. The decision variables can be defined as: Xij: the amount of blood donations shipped from node i to node j B. The decision variables can be defined as: Xij: the total shipping cost from node i to node j Because this is a minimization problem, we can use the Balance of Flow Rule.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 32P
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Question 5 to Question 7 is based on this problem.
American Red Cross wants to determine the least expensive way to transport available blood donations from Pittsburgh and Staunton
to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk. The supply and demand for donated blood is shown the
following figure along with the unit cost of shipping along each possible arc:
-1,300
-1,200
Pittsburgh
Staunton 3
Charleston
3
Roanoke
300
7 7
200
8
Richmond
9
6
4
Norfolk
800
700
Suffolk
7
Which statement about decision variables and the objective function is not true?
O C
Let Cij be the unit cost of shipping blood donations from node i to node j
Xij be the amount of blood donations shipped from node i to nodej.
The objective function is Min[ the summation of all CijXij).
400
A.
The decision variables can be defined as: Xij: the amount of blood donations shipped from node i to node j
Because this is a minimization problem, we can use the Balance of Flow Rule.
B.
The decision variables can be defined as: Xij: the total shipping cost from node i to node j
Transcribed Image Text:Question 5 to Question 7 is based on this problem. American Red Cross wants to determine the least expensive way to transport available blood donations from Pittsburgh and Staunton to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk. The supply and demand for donated blood is shown the following figure along with the unit cost of shipping along each possible arc: -1,300 -1,200 Pittsburgh Staunton 3 Charleston 3 Roanoke 300 7 7 200 8 Richmond 9 6 4 Norfolk 800 700 Suffolk 7 Which statement about decision variables and the objective function is not true? O C Let Cij be the unit cost of shipping blood donations from node i to node j Xij be the amount of blood donations shipped from node i to nodej. The objective function is Min[ the summation of all CijXij). 400 A. The decision variables can be defined as: Xij: the amount of blood donations shipped from node i to node j Because this is a minimization problem, we can use the Balance of Flow Rule. B. The decision variables can be defined as: Xij: the total shipping cost from node i to node j
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