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Question-01:-
Obtain the dual of the following primal problem,
Minimize Z = 3x1- 2x2 + x3
Subject to
2x1 – 3x2 +x3 ≤ 5
4x1 – 2x2 ≥ 9
-8x1 + 4x2 +3x3 =8
x1,x2≥0, x3 is unrestricted
Question-02:-
Use any method to find the optimum solution of the following transportation problem in which the cells contain the transportation cost in Rupees.
W1 W2 W3 W4 W5 Available
F1 7 6 4 5 9 40
F2 8 5 6 7 8 30
F3 6 8 9 6 5 20
F4 5 7 7 8 6 10
Required 30 30 15 20 5 100(Total)