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Using Simplex methods find the optimal solution of the following LPP . Maximizez = 1 0 x 1 + 1 5 x 2 + 2

Using Simplex methods find the optimal solution of the following LPP

.

Maximizez

= 10 x_{1} + 15 x_{2} + 20 x_{3}

subject to

2 x_{1} + 4 x_{2} + 6 x_{3} 24

;

3 x_{1} + 9 x_{2} + 6 x_{3} 30

;

Use two phase method to show that the following LPP is infeasible.

Maxz

= 4 x_{1} + 3 x_{2},

subject to

x_{1} + x_{2} 8, 5 x_{1} + 6 x_{2} 60, x_{1}, x_{1} 0 .

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