Page 137 - DCOM303_DMGT504_OPERATION_RESEARCH

Operations Research

Notes 9. Six plants with capacities of 100, 70, 80, 20, 55 and 95 respectively, supply goods to five
stores requiring 50, 200, 30, 60 and 80 units respectively. The transportation costs matrix
are given below. Find the optimal solution:
Plants Stores
1 2 3 4 5
1 10 8 6 3 5
2 2 9 9 8 0
3 0 10 15 8 7
4 6 3 12 15 0
5 8 9 6 2 1
6 20 0 8 5 11

10. Find the minimum transportation cost.

Source Destination Available
D1 D2 D3 D4 D5
S1 4 7 3 8 2 4
S2 1 4 7 3 8 7
S3 7 2 4 7 7 9
S4 4 7 2 4 7 2
Requirement 8 3 7 2 2 -

11. Solve the following transportation problem for maximum profit:
Per unit Profit (Rs.) Market Availability of
Warehouse A B C D Warehouses

X 12 18 6 25 200
Y 8 7 10 18 500
Z 14 3 11 20 300
Demand in the 180 320 100 400
Market

Answers: Self Assessment

1. (a) 2. (c)
3. (b) 4. Transshipment

5. High 6. Transportation Cost

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