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The minimum value of z = 5x + 13y subject to constraints 2x + 3y ≤ 18, x + y ≥ 10, x ≥ 0, y ≥ 2 is ______ -

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Question

The minimum value of z = 5x + 13y subject to constraints 2x + 3y ≤ 18, x + y ≥ 10, x ≥ 0, y ≥ 2 is ______ 

Options

  • 35

  • 36

  • 34

  • No optimum value

MCQ
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Solution

The minimum value of z = 5x + 13y subject to constraints 2x + 3y ≤ 18, x + y ≥ 10, x ≥ 0, y ≥ 2 is No optimum value.

Explanation:

The feasible regions are is disjoint. Hence, there is no point in common.

∴ There is no optimum value of the objective function.

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Linear Programming Problem (L.P.P.)
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