The money to be spent for the welfare of the employees of a firm is proportional to the rate of change of its total revenue (Marginal revenue). If the total revenue (in rupees) recieved from the sale of x units of a product is given by R(x) = 3x² + 36x + 5, find the marginal revenue, when x = 5, and write which value does the question indicate.

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Solution

Since, marginal revenue is the rate of change of total revenue with respect to the number of units sold, we have

$Marginal revenue (MR) = \frac{d R}{d x} = 6 x + 36 When x = 5, MR = 6 (5) + 36 = 66$

Hence, the required marginal revenue is ₹66.

It indicates the extra money spent when number of employees increased from 5 to 6.

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Q. The money to be spent for the walfare of the employees of a firm is proportional to the rate of change of its total revenue (marginal revenue). If the total revenue (in rupees) received from the sales of

x

units of a product is given by

R (x) = 3 x^{2} + 36 x + 5

, find the marginal revenue, when

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and write which value does the question indicates.

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The total revenue in rupees received from the sale of x units of a product is given by $R (x) = 3 x^{2} + 36 x + 5$ . The marginal revenue, when x=15 is

a) 116

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(A) 116 (B) 96 (C) 90 (D) 126

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Since, marginal revenue is the rate of change of total revenue with respect to the number of units sold, we have Marginal revenue (MR)=dRdx=6x+36When x=5, MR=65+36=66 Hence, the required marginal revenue is ₹66. It indicates the extra money spent when number of employees increased from 5 to 6.