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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

ConceptRate of Change of Bodies Or Quantities

#### 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.