Question

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.