Q. The maximum value of $z = 9x + 13y$ subject to constraints $2x + 3y \leq 18,\ 2x + y \leq 10,\ x \geq 0,\ y \geq 0$ is
A) 130
B) 81
C) 79
D) 99
Explanation
(c)
The feasible region is $OABCO$
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At $O(0,\ 0),\ z = 0$
At $A(5,\ 0),\ z = 45$
At $B(3,\ 4),\ z = 27 + 52 = 79$
At $C(0,\ 6),\ z = 78$
$\therefore$ maximum value of $z$ is 79
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.