Solveeit Logo

Question

Mathematics Question on Linear Programming Problem

Consider Minimize z=3x+2yz = 3x + 2y subject to x+y8x + y \geq 8 3x+5y153x + 5y \leq 15 x,y0x, y \geq 0 It has :

A

Infinite feasible solutions

B

Unique feasible solution

C

No feasible solution

D

None of these

Answer

No feasible solution

Explanation

Solution

Given problem is minimize z = 3x + 2y subject to x +y \geq 8, 3x + 5y \leq 15 x, y \geq 0 First we convert these inequations into equations and draw the graph. Since, there is no feasible region, therefore no feasible solution.