Linear Programming Question 84

Question: The objective function $ z=4x+3y $ can be maximized subjected to the constraints $ 3x+4y\le 24 $ , $ 8x+6y\le 48 $ , $ x\le 5,\ y\le 6;\ \ x,\ y\ge 0 $

Options:

A) At only one point

B) At two points only

C) At an infinite number of points

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Obviously, the optimal solution is found on the line which is parallel to iso-profit line.

Hence it has infinite number of solution.