Consider the transportation network in the image below and assume that Xij represents the flow from Supply node i to Demand node j. Which of the following statements is NOT TRUE?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the transportation network in the image below and assume that
Xij represents the flow from Supply node i to Demand node j. Which of the following statements is NOT TRUE?
DEMAND
SUPPLY
S1
50
S2
50
-10-
D1
D2
40
D3
20
O a. The constraint for Demand node 2 (D2) will be represented in the LP as: X12+X22=40
O b. The constraint for Supply node 2 (S2) will be represented in the LP as: X21+X22 ≤ 50
O c. In any feasible shipment plan, a total of 10 units will remain in the two plants, S1 and S2, and will not be
shipped to demand points, D1, D2 or D3.
O d. X12= 40, X21-30 and X13-20 is a feasible shipment plan
Transcribed Image Text:Consider the transportation network in the image below and assume that Xij represents the flow from Supply node i to Demand node j. Which of the following statements is NOT TRUE? DEMAND SUPPLY S1 50 S2 50 -10- D1 D2 40 D3 20 O a. The constraint for Demand node 2 (D2) will be represented in the LP as: X12+X22=40 O b. The constraint for Supply node 2 (S2) will be represented in the LP as: X21+X22 ≤ 50 O c. In any feasible shipment plan, a total of 10 units will remain in the two plants, S1 and S2, and will not be shipped to demand points, D1, D2 or D3. O d. X12= 40, X21-30 and X13-20 is a feasible shipment plan
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