Consider the linear programming problem (LPP): Max Z= 4x + 3y subject to the constraints: x≤ 8, y≤ 4, x≥ 0, y≥ 0. At what coordinates will the objective function have optimal solution? Option 1: At the intersection of x - 8 =0 and x-axis Option 2: At the intersection of y - 4 = 0 and y-axis Option 3: (0,0) Option 4: At the intersection of x - 8 = 0 and y - 4 = 0

The answer is 'At the intersection of x - 8 = 0 and y - 4 = 0'. View full solution:

CUET Mathematics - Consider the linear programming problem (LPP): Max Z= 4x + 3y subject to the constraints: x≤ 8, y≤ 4, x≥ 0, y≥ 0. At what coordinates will the objective function have optimal solution? | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Algebra

Easy

applied

At the intersection of x - 8 =0 and x-axis

At the intersection of y - 4 = 0 and y-axis

(0,0)

At the intersection of x - 8 = 0 and y - 4 = 0

✅ Correct Option: 4