Linear Programming Question 67

Question: The minimum value of $ z=2x_1+3x_2 $ subject to the constraints $ 2x_1+7x_2\ge 22 $ , $ x_1+x_2\ge 6 $ , $ 5x_1+x_2\ge 10 $ and $ x_1,\ x_2\ge 0 $ is

[MP PET 2003]

Options:

A) 14

B) 20

C) 10

D) 16

Show Answer

Answer:

Correct Answer: A

Solution:

Obviously, at point (4, 2), the minimum value of $ z=2x_1+3x_2=2(4)+3(2)=14 $ .