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 $R(x)=3 x^{2}+36 x+5$, find the marginal revenue, when $x=5$, and write which value does the question indicate.
Since, marginal revenue is the rate of change of total revenue with respect to the number of units sold, we have
Marginal revenue $(\mathrm{MR})=\frac{\mathrm{d} R}{\mathrm{~d} x}=6 x+36$
When $x=5, \mathrm{MR}=6(5)+36=66$
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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