For a LPP, the objective function is z=4x+3y and the feasible region determined by a set of linear constraints is shown in the graph as a shaded portion. Which one of the following statement is true ? Option 1: Maximum value of z is at D (40, 0). Option 2: Maximum value of z is at C (0, 40). Option 3: The maximum value of z is at B (30, 20) Option 4: The difference between maximum and minimum values of z is 120.

The answer is 'The maximum value of z is at B (30, 20)'. View full solution:

CUET Mathematics - For a LPP, the objective function is z=4x+3y and the feasible region determined by a set of linear constraints is shown in the graph as a shaded portion. Which one of the following statement is true ? | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 1

Algebra

Medium

core

Maximum value of $z$ is at D (40, 0).

Maximum value of $z$ is at C (0, 40).

The maximum value of $z$ is at B (30, 20)

The difference between maximum and minimum values of $z$ is 120.

✅ Correct Option: 3