CUET Mathematics - If a person rides his motorbike x km at 30 km per hour, he has to spend ₹ 3 per kilometer on petrol. If he rides y km at a faster speed of 40 km per hour, the petrol cost increases to ₹ 4 per kilometer. If he has ₹ 100 to spend on petrol and wishes to find the maximum distance he can travel within one hour, then linear programming problem (LPP) formulation is: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Algebra

Medium

applied

Maximize Distance(D) = $x + y$ subject to the constraints $3x + 4y \leq 120$ , $4x + 3y \geq 100$ , $x \geq 0, y \geq 0$ .

Maximize Distance(D) = $x + y$ subject to the constraints $3x + 4y \leq 70$ , $4x + 3y \leq 1$ , $x \geq 0, y \geq 0$ .

Maximize Distance(D) = $x + y$ subject to the constraints $3x + 4y \leq 100$ , $4x + 3y \leq 120$ , $x \geq 0, y \geq 0$ .

Maximize Distance(D) = $x + y$ subject to the constraints $3x + 4y \leq 100$ , $4x + 3y \leq 120$ , $x \leq 0, y \leq 0$ .

✅ Correct Option: 3

CUET Mathematics 2025 13 May Shift 1 PYQs