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  4. The co-ordinates of the point for minimum value of z = 7x - 8y subject to the conditions x +y - 20 ≤ 0, y ≤ 5 , x ≥ 0, y ≥ 0 is

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Q. The co-ordinates of the point for minimum value of $z = 7x - 8y$ subject to the conditions $x +y - 20 \leq 0, y \leq 5 , x \geq 0, y \geq 0$ is

Linear Programming

Solution:

Obviously, $z = 7x - 8y$ will be minimum at (0,20)
$\therefore $ Min $z = 7 \times 0 - 8 \times 20 = - 160 $

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