The money to be spent for the welfare of the employees of a firm is pr

1.	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) received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5,find the marginal revenue when x = 5.
Answer» Given, R(x) = 3x² + 36x + 5 ⇒ R'(x) = 6x + 36 ∴ Marginal revenue (when x = 5) = R'(x)]_x = 5 = 6 x 5 + 36 = ₹ 66.

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) received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5,find the marginal revenue when x = 5.

Answer»

Given,

R(x) = 3x² + 36x + 5

⇒ R'(x) = 6x + 36

∴ Marginal revenue (when x = 5) = R'(x)]_x = 5

= 6 x 5 + 36 = ₹ 66.