Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

The objective function $Z = 4 x + 3y$ can be maximized subjected to the constraints $3 x+4 y \leq 24,8 x+6 y \leq 48, x \leq 5, y \leq 6 ; x, y \geq 0$

Options:

At only one point

At two points only

At an infinite number of points

None of these

Correct Answer:

At an infinite number of points

Explanation:

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

Hence it has infinite number of solutions.