Question

The feasible region of a LPP is shown in the figure. If $Z=3x-y,$ then the maximum value of $Z$ occurs at

• A. $(0,0)$
• B. $(3,0)$
• C. $(12,20)$
• D. $(0,15)$

Answer 1

The correct option is C $(12,20)$

The table of values at corner points for subjective function $Z=3x-y$ is given below

Corner points : $(x,y)$	value : $Z=3x-y$
$O(0,0)$	$0$
$A(0,15)$	$-15$
$B(3,0)$	$9$
$C(12,20)$	$16$

So, $Z_{max}$ occurs at $C(12,20).$