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  4. The maximum value of P = x + 3y such that 2x + y ≤ 20 , x + 2y ≤ 20 , x ≥ 0 , y ≥ 0 , is

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Q. The maximum value of $P = x + 3y $ such that $2x + y \leq 20 , x + 2y \leq 20 , x \geq 0 , y \geq 0 , $ is

Linear Programming

Solution:

Obviously, $P = x + 3y $ will be maximum at (0, 10).
$\therefore \: P = 0 + 3 \times 10 = 30 . $

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