Question

If the revenue function is given by equation being the input, find the maximum revenue. Also find the revenue function R, if the initial revenue is 0.

04 Sep 2025
Answer :
Word Count : 256
We are given the marginal revenue function: $$ \frac{dR}{dx} = 15 + 2x - x^2 $$ To find the revenue function $R(x)$, integrate $\frac{dR}{dx}$ with respect to $x$: $$ R(x) = \int (15 + 2x - x^2) \, dx $$ Integrate term by term: $$ \int 15 \, dx = 15x, ______ __________ __________ ______ ___ _____ ______ ______ _____ ____.
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