A company has three plants at A, B and C which supply to warehouses located at D, E, F, G and H. Weekly plant capacities are 200, 125 and 225 tons respectively. Weekly warehouse requirements are 75, 105, 130, 155 and 85 tons respectively. Unit transportation cost matrix is given below:
|
To
From
|
D
|
E
|
F
|
G
|
H
|
|
A
|
50
|
82
|
65
|
60
|
35
|
|
B
|
45
|
70
|
70
|
65
|
50
|
|
C
|
80
|
45
|
75
|
60
|
40
|
Determine the optimum cost distribution pattern and also the minimum total cost.