Mathematics - Linear Programming Question with Solution | TestHub

Feasible region is$ABCA$and$Z=7x-8y$

At $A\left(0,5\right), Z=7\times 0-8\times 5=-40$

At $B\left(15,5\right), Z=7\left(15\right)-8\left(5\right)=65$

At $C\left(0,20\right), Z=7\left(0\right)-8\left(20\right)=-160$

Hence, the minimum value of $Z$ is attained at point $\left(0,20\right)$

So, option $\left(d\right)$ is correct.