The minimum value of the objective function $z = 2x + 10y$ for linear constraints $x \geq 0,\ y \geq 0,\ x - y \geq 0,\ x - 5y \leq - 5$ is

Question

Dr. Abubacker · Accepted Answer

(b)
It is clear from the figure that the minimum value is at point $A\left( \frac{5}{4},\frac{5}{4} \right)$
And $z = 2x + 10y$ [given]
[image:12_image10.jpeg]
At point $A\left( \frac{5}{4},\frac{5}{4} \right)$
$z = 2\left( \frac{5}{4} \right) + 10\left( \frac{5}{4} \right) = 15$

Q. The minimum value of the objective function $z = 2x + 10y$ for linear constraints $x \geq 0,\ y \geq 0,\ x - y \geq 0,\ x - 5y \leq - 5$ is

Explanation

Reviewed by Dr. Abubacker

Want more practice?