The feasible region for a LPP is shown in Figure. Find the minimum value of $Z=11x+7y$.

21

The correct answer is Option (3) → 21

Given $Z=11x+7y$

As per the given figure, ABCA is the feasible region. Corner points C(0, 3), B(0, 5) and for A,

we have to solve equations

$x+3y=9$

and $x+y=5$

Which gives $x = 3,y=2$

i.e., $A(3, 2)$

Evaluating the value of Z, we get

Hence, the minimum value of Z is 21 at (0, 3).