Linear Programming Question 103

Question: For the L.P. problem Min $ z=-x_1+2x_2 $ such that $ -x_1+3x_2\le 0, $ $ x_1+x_2\le 6,\ x_1-x_2\le 2 $ and $ x_1,\ x_2\ge 0 $ , $ x_1= $

Options:

A) 2

B) 8

C) 10

D) 12

Show Answer

Answer:

Correct Answer: A

Solution:

$ (3,1),(2,0) $ are vertices of Min z for (2, 0) .

Hence $ x_1=2 $ .