Question
If the revenue function is given by being the input, find the maximum revenue. Also find the revenue function R, if the initial revenue is 0.
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: $$ \int 15 \, dx = 15x, ______ __________ __________ ______ ___ _____ ______ ______ _____ ____.
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We are given the marginal revenue function: $$ \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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______ _______ _________ __________ ____ _____ ___.
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________ ___ ______ __________ ____ _______ ________ ______ ________ __________.
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