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, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

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Solution

straight R left parenthesis straight x right parenthesis space equals space 3 straight x squared plus 36 straight x plus 5 space space space space space space space space rightwards double arrow space space space space straight R space equals space 3 straight x squared plus 36 straight x plus 5

MR space equals space dR over dx space equals space 6 straight x plus 36

space When space space straight x space equals space 5 comma space space space space MR space equals space 6 space cross times space 5 space plus 36 space equals space 30 space plus 36 space equals space 66 space

therefore space space space space space space space required space marginal space revenue space equals space Rs space 66.

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