Max z = 5x1 + 3x2 subject to constraints:

3x1 + 5x2 ≤ 15

5x1 + 2x2 ≤ 10

x1 ; x2 ≥ 0

The dual of the LPP is

1

min z* = 15 w1 + 10 w2 ; 3 w2 + 5 w1 ≥ 5

2 w1 + 5 w2 ≥ 3

2

min z* = 15 w1 + 10 w2 ; 3 w1 + 5 w2 ≥ 5

5 w1 + 2w2 ≥ 3
3

min z* = 5w1 + 3w2 ; 3w2 + 5w1 ≥ 15

2w1 + 5w2 ≥ 10

4

min z* = 5w1 + 3w2 ; 3w1 + 5w2 ≥ 15

5w1 + 2w2 ≥ 10

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