Question

The objective function $Z = 4x + 3y$ can be maximized subjected to the constraints

$3x + 4y \leq 24,8x + 6y \leq 48,x \leq 5,y \leq 6;x,y \geq 0$

• A. At only one point
• B. At two points only
• C. At an infinite number of points
• D. None of these

Answer 1

Answer: (C)

At an infinite number of points

Answer 2

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

Hence it has infinite number of solutions.