CUET Mathematics - An objective function Z=a x+b y is maximum at points (8,2) and (4,6). If a ≥ 0 and b ≥ 0 and a b=25, then the maximum value of the function is equal to : | PYQs + Solutions

CUET Mathematics

Algebra

Easy

common

$60$

$50$

$40$

$80$

✅ Correct Option: 2

Related questions:

3 June Shift 1

If the feasible region of an LPP is bounded and the corresponding objective function is $z = 5x - 9y$ , then the objective function attains:

2 June Shift 1

The corner points of the bounded feasible region for an LLP are: (5, 5), (15, 15), (0, 20) and (0, 10). Let $z = 3x + 9y$ be the objective function. Then the value of $maximum(z) - minimum(z)$ is

15 May Shift 2

If the corner points of the bounded feasible region for a linear programming problem (LPP) are (0, 2), (3, 0), (6, 0), (6, 8) and (0,5), then which of the following are correct for the objective function $Z = 4x + 6y$ ?

(A) The minimum value of the objective function occurs at (0, 2) and (3, 0) only.

(B) The minimum value of the objective function occurs at the mid-point of the line segment joining the points (0, 2) and (3, 0) only.

(C) The minimum value of the objective function occurs at every point of the line segment joining the points (0, 2) and (3, 0).

(D) The difference between the maximum value and minimum value of the objective function is 60.

Choose the correct answer from the options given below:

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