Question
Mathematics Question on Linear Programming Problem
Consider Minimize z=3x+2y subject to x+y≥8 3x+5y≤15 x,y≥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 ≥ 8, 3x + 5y ≤ 15 x, y ≥ 0 First we convert these inequations into equations and draw the graph. Since, there is no feasible region, therefore no feasible solution.