Page 136 - DCOM303_DMGT504_OPERATION_RESEARCH

Unit 6: Transportation Problem – Optimality Tests

5. Solve the following transportation problems. Notes
(a)
From To Available
A B C
I 50 30 220 1
II 90 45 170 3
III 250 200 50 4
Requirement 4 2 2

(b)
From To Available
A B C
I 6 8 4 14
II 4 9 8 12
III 1 2 6 5
Demand 6 10 15

6. A potato chip manufacturer has three plants and four warehouses. Transportation cost for
shipping from plants to warehouses, the plant availability and warehouses requirements
are as follows:

Plants Warehouses Plant Availability
(quintals)
W1 W2 W3 W4
F1 7 4 3 5 235
F2 6 8 7 4 280
F3 5 6 9 10 110
Requirements (quintals) 125 160 110 230 625

Find optimum shipping schedule.
7. Solve

Destination Available
1 2 3 4
1 21 16 25 13 11
2 17 18 14 23 13
3 32 27 18 41 19
Requirement 6 10 12 15 43

8. Find the optimal solution.
D1 D2 D3 D4 Available
O1 23 27 16 18 30
O2 12 17 20 51 40
O3 22 28 12 32 53
Required 22 35 25 41 123

The cell entries are unit transportation cost.

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