Q. For the LPP Min $z = 2x + y$ subject to constraints $5x + 10y \leq 50,\ x + y \geq 1,\ y \leq 4$ and $x,\ y \geq 0$, then $z$ is
A) 0
B) 1
C) 2
D) 12
Explanation
(b)
Feasible region is $ABCDEA$ and vertices of the feasible region are $A(0,\ 1),\ B(1,\ 0),\ C(10,\ 0),\ D(2,\ 4)$ and $E(0,\ 4)$
[image:12_image24.jpeg]
Thus, minimum value of objective function is at (0, 1)
$\therefore\ \ \ z = 0 \times 2 + 1 = 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.