The coordinates of the point at which minimum value of Z=7x-8y subject to constraints x+y-20≤0, y≥5, x≥0, y≥0 is attained, is

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Correct answer: (D) 0,20. Feasible region is ABCA and Z=7x-8y At A0,5, Z=7×0-8×5=-40 At B15,5, Z=715-85=65 At C0,20, Z=70-820=-160 Hence, the minimum value of Z is attained at point 0,20 So, option d is correct.

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

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