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Law of Reciprocal

The feasible ...

Question

The feasible region of a LPP is shown in the figure. If $Z = 5 x + 2 y,$ then the maximum value of $Z$ occurs at

(0, 0)

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(5, 0)

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(2, 4)

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(0, 4)

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Solution

The correct option is B $(5, 0)$
$\begin{matrix} Extreme Points & Z = 5 x + 2 y (0, 0) & 5 \times 0 + 2 \times 0 = 0 (5, 0) & 5 \times 5 + 2 \times 0 = 25 (2, 4) & 5 \times 2 + 2 \times 4 = 18 (0, 4) & 5 \times 0 + 2 \times 4 = 8 \end{matrix}$
Maximum value of $Z = 25$ which occurs at $(5, 0) .$

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