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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 - CBSE (Science) Class 12 - Mathematics

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Question

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

(A) 116

(B) 96

(C) 90

(D) 126

Solution

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

∴Marginal Revenue (MR) `(dR)/dx` = 3(2x) + 36 = 6x + 36

∴When x = 15,

MR = 6(15) + 36 = 90 + 36 = 126

Hence, the required marginal revenue is Rs 126.

The correct answer is D.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 18 | Page no. 199
Solution 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 Concept: Rate of Change of Bodies Or Quantities.
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