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 Pittsburgh 1 Staunton -1,200 2 Charleston 3 Roanoke 300 200 Richmond 9 Norfolk 800 700 Suffolk 400

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
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Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...
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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
Pittsburgh
Staunton
-1,200 2
4
Charleston
3
Roanoke
300
200
8
Richmond
9
6
4
Norfolk
800
700
Suffolk
400
Transcribed Image Text: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 Pittsburgh Staunton -1,200 2 4 Charleston 3 Roanoke 300 200 8 Richmond 9 6 4 Norfolk 800 700 Suffolk 400
Let Xij be the amount of blood donations shipped from node i to node j.
Which statement about the balance of flow constraint is not true?
A.
X13+X14 ≤ 1,300 is the balance of flow constraint for node 1.
B.
X35 ≥ 800 +X56 is the balance of flow constraint for node 5.
O C
X47+X67 ≥ 400 is the balance of flow constraint for node 7.
D.
X36+X46+X56 + X67 ≥ 700 is the balance of flow constraint for node 6.
Transcribed Image Text:Let Xij be the amount of blood donations shipped from node i to node j. Which statement about the balance of flow constraint is not true? A. X13+X14 ≤ 1,300 is the balance of flow constraint for node 1. B. X35 ≥ 800 +X56 is the balance of flow constraint for node 5. O C X47+X67 ≥ 400 is the balance of flow constraint for node 7. D. X36+X46+X56 + X67 ≥ 700 is the balance of flow constraint for node 6.
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