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.