3.Solve this, determine an initial basic feasible solution to the following transportation problem by using (a) the least cost method, and (b) Vogel's approximation method. Based the initial basic feasible solution that is relatively small conduct a modified distribution method to determine the optimum solution to the problem.

Source Destinations Supply

D1 D2 D3 D4

S1 1 2 1 4 30

S2 3 3 2 1 50

S3 4 2 5 9 20

Demand 20 40 30 10