Linear Programming Question 126

Question: Consider: $ z=3x+2y $ Minimize subject to: $ x+y\ge 8 $ $ 3x+5y\le 15 $$ x,y\ge 0 $ It has:

Options:

A) Infinite feasible solutions

B) Unique feasible solution

C) No feasible solution

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Given problem is minimize $ z=3x+2y $ subject to $ x+y\ge 8, $

$ 3x+5y\le 15 $

$ x,y\ge 0 $

First we convert these in equations into equations and draw the graph. Since, there is no feasible region, therefore no feasible solution.