(C) The marginal revenue is defined as the derivative of the total revenue function $R(x)$ with respect to $x$.$MR = \frac{dR}{dx} = \frac{d}{dx}(3x^2

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(C) The marginal revenue is defined as the derivative of the total revenue function $R(x)$ with respect to $x$.$MR = \frac{dR}{dx} = \frac{d}{dx}(3x^2 + 36x + 5)$$MR = 6x + 36$To find the marginal revenue when $x = 15$,we substitute $x = 15$ into the expression for $MR$:$MR = 6(15) + 36$$MR = 90 + 36$$MR = 126$Thus,the marginal revenue is $126$.