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1. A trucking company has a contract to move 115 truckloads of sand per week between three sand-washing plants W, X, and Y, and three destinations A, B and C. cost and volume information is given below. Compute the optimal transportation cost.

To

From

Project A

Project B

Project C

Supply

Plant W 5 10 10 35

Plant X 20 30 20 40

Plant Y 5 8 12 40

Demand 45 50 20

a. Formulate the transportation problem.

b. Set up the initial transportation tableau from the minimum-entry method.

c. Using the Northwest Corner rule, find the initial allocation.

d. Find the optimal solution using Stepping-stone method.

e. Compare the optimal solution obtained in e. using Modified Distribution Method.

To

From

Project A

Project B

Project C

Supply

Plant W 5 10 10 35

Plant X 20 30 20 40

Plant Y 5 8 12 40

Demand 45 50 20

a. Formulate the transportation problem.

b. Set up the initial transportation tableau from the minimum-entry method.

c. Using the Northwest Corner rule, find the initial allocation.

d. Find the optimal solution using Stepping-stone method.

e. Compare the optimal solution obtained in e. using Modified Distribution Method.

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