The feasible region of an L.P.P. is given in the following figure:
Then, the constraints of the L.P.P. are
$x \geq 0, y \geq 0$ and

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$x + 2 y \leq 104$ and $2 x + y \leq 76$

$x + 2 y \leq 104$ and $2 x + y \leq 38$

$2 x + y \leq 52$ and $x + 2 y \leq 76$

$2 x + y \leq 104$ and $x + 2 y \leq 76$

answer is B.

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Detailed Solution

Equation of line joining the points (52, 0) and (0, 104) is

$\frac{x}{52} + \frac{y}{104} = 1 \Rightarrow 2 x + y = 104$

Equation of line joining (76, 0) and (0, 38) is

$\frac{x}{76} + \frac{y}{38} = 1 \Rightarrow x + 2 y = 76$

$∴$ Option (b) is the correct answer.

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