Suppose that A1, A2, A3, B1, B2, B3, C1, C2, and C3 represent the amounts delivered to projects A, B, and C from plants 1, 2, and 3 respectively. After formulating this problem as a linear program to determine the least cost way to meet the requirements, suppose the following solution (optima) is provided for the transportation problem above.

Question

Anu Bhardwaj · Accepted Answer

Answer: Capacity for Plant 1 is not fully utilized (NOT true).

From the optimal shipment table:

Plant 1 ships 20 → A and 150 → B, totaling 170.
Plant 2 ships 150 → B.
Plant 3 ships 80 → A and 100 → C.

Column totals (demands): A = 20+80 = 100, B = 150+150 = 300, C = 100 → total demand = 500.

Row totals (supplies): 170 + 150 + 180 = 500 → total supply = 500.

Since total supply equals total demand and the provided solution is feasible, each plant’s capacity is fully used. Therefore, the statement “Capacity for Plant 1 is not fully utilized” is the one that is NOT true.

Advance math

Advance math

Anu Bhardwaj

Answer

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