Suppose a company's revenue function is given by $$ R(x)=-x^{3}+290 x^{2} $$ and its cost function is given by $$ C(x)=520+12 x $$, where $$ x $$ is hundreds of units sold/produced, while $$ R(x) $$ and $$ C(x) $$ are in total dollars of revenue and cost, respectively. $$ P(x)= $$ A) Find a simplified expression for the profit function. (Be sure to use the proper variable in your answer.) B) How many items (in hundreds) need to be sold to maximize profits? (Use your graphing calculator.) Units cannot be below 0 . (Round your answer to two decimal places.) Answer:

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Harrington Dickson · Accepted Answer

The profit function is $$ P(x) = -x^3 + 290x^2 - 12x - 520 $$. To maximize profits, approximately 193.35 hundreds of units need to be sold.

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