Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

If the corner points of Linear Programming Problem having objective function Max $z= 2x+y $ are $O(0,0), A(30, 0), B(20, 30), C(0, 50),$ then the optimal value will be at the point :

Options:

O

A

B

C

Correct Answer:

B

Explanation:

The correct answer is Option (3) → B

Corner Points   $Z=2x+y$
$O(0,0)$ $Z_O=0$
$A(30,0)$ $Z_A=60$
$B(20,30)$ $Z_B=40+30=70$
$C(0,50)$ $Z_C=50$

(Maximum value exists at point B)