The total revenue is Rupees received from the sale of x units of a product is given by R (x) = 3x2 + 36x + 5. The marginal revenue, when x = 15 is
(A) 116   (B) 96   (C) 90   (D) 126

Solution:

Derivatives are used to find the rate of changes of a quantity with respect to the other quantity. By using the application of derivatives we can find the approximate change in one quantity with respect to the change in the other quantity.

Marginal revenue (MR) is the rate of change of the total revenue with respect to the number of units sold.

Therefore,

MR = dR/dx

On differentiating wrt x, we get

= 3(2x) + 36

= 6x + 36

When, x = 15

Then,

On sub

MR = 6(15) + 36

= 90 + 36

= 126

Thus, the marginal revenue is ₹ 126.

Hence, the correct option is D

NCERT Solutions Class 12 Maths - Chapter 6 Exercise 6.1 Question 18

The total revenue is Rupees received from the sale of x units of a product is given by R (x) = 3x2 + 36x + 5. The marginal revenue, when x = 15 is (A) 116 (B) 96 (C) 90 (D) 126

Summary:

Given that the total revenue in Rupees received from the sale of x units of a product is given by R (x) = 3x2 + 36x + 5. The marginal revenue, when x = 15 is ₹ 126

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