Question

$z=10x+25y$ subject to $0\le x\le 3$ and $0\le y\le 3,x+y\le 5$ then the maximum value of z is

• A. $80$
• B. $95$
• C. $30$
• D. $75$

Answer 1

Answer: (B)

$95$

The end points of the figure which forms as per the given condition are $(0,0),(3,0),(0,3),(3,2),(2,3)$

We check the value of z at these points.

At $(0,3),z=0+75=75$

At $(3,0),z=30+0=30$

At $(0,0),z=0$

At $(3,2),z=30+50=80$

At $(2,3),z=20+75=95$

Therefore, the maximum value of z turns out to be 95.