Linear Programming Question 114

Question: For the L.P. problem Min $ z=x_1+x_2 $ such that $ 5x_1+10x_2\le 0,\ \ x_1+x_2\ge 1,\ \ x_2\le 4 $ and $ x_1,\ x_2\ge 0 $

Options:

A) There is a bounded solution

B) There is no solution

C) There are infinite solutions

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

As there may be infinite values of $ x_1 $ and $ x_2 $ on line $ x_1+x_2=1 $ .