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 $ .