CUET Mathematics - In an LPP, the feasible region represented by the set off constraints 2x + 3y ≤ 18, x + y ≤ 10, x ≥ 0, y ≥ 0 is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Algebra

Medium

applied

Region A

Region B

Region C

(Region A) ∪ (Region B)

✅ Correct Option: 1

Related questions:

16 May Shift 1

Consider the linear programming problem (LPP):

Maximize Z = 6x + 3y subject to the conditions,

4x + y ≥ 80, x + 5y ≥ 115, 3x + 2y ≤ 150, x, y ≥ 0.

In reference to the above LPP, which of the following are correct?

(A) The feasible region is bounded.

(B) The corner points of the feasible region are (15, 20), (40, 15) and (0, 75).

(D) The LPP does not have optimal solution.

Choose the correct answer from the options given below:

30 May Shift 2

The corner points of the bounded feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let z = px + qy where p, q > 0. Then the condition on p and q so that the maximum value of z occurs at (15, 15) and (0, 20) is

13 May Shift 1

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:

CUET Mathematics 2025 30 May Shift 2 PYQs

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