The coordinate of the point at which minimum value of $z = 7x - 8y$ subject to the conditions $x + y - 20 \leq 0,\ y \geq 5,\ x \geq 0,\ y \geq 0$ is attained, is

Question

Dr. Abubacker · Accepted Answer

(d)
Feasible region is $ABCA$
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and $z = 7x - 8y$
now, At $A(0,\ 5);\ \ \ \ z = 7(0) - 8(5) = - 40$
at $B(15,\ 5);\ \ \ \ z = 7(15) - 8(5) = 65$
at $C(0,\ 20);\ \ \ z = 7(0) - 8(20) = - 160$
$	herefore$ The minimum value of $z$ is attained at point (0, 20)

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

Explanation

Reviewed by Dr. Abubacker

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