question_answer

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

A) Infinite feasible solutions

B) Unique feasible solution

C) No feasible solution

D) None of these  

Correct Answer: C

Solution :

[c] 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.