Q. $z = 4x + 2y,\ 4x + 2y \geq 46,\ x + 3y \leq 24$ and $x$ and $y$ are greater than or equal to zero, then the maximum value of $z$ is
A) 46
B) 96
C) 52
D) None of these
Explanation
(b)
Feasible region is $ABCA$
and $z = 4x + 2y$
[image:12_image17.jpeg]
At point $C(9,\ 5)$
$z = 4 \times 9 + 2 \times 5 = 46$
At point $A(11.5,\ 0)$
$z = 4 \times 11.5 + 2 \times 0 = 46$
And at point $B(24,\ 0)$
$z = 4 \times 24 + 0 = 96$
$\therefore$ Maximum value of $z = 96$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.