Determine an initial basic feasible solution to the following transportation problem by using (a) the least cost method,

(b) Vogels approximation method

c). Based on the initial basic feasible solution, apply Modified Distribution method (MODI) to determine the optimum minimum total transportation cost for the shipment (13Points).

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