Math Question

A school typically sells 500 yearbooks in a year for \( \$ 50 \) each. The economics class does a project and discovers that they can sell 125 more yearbooks for every \( \$ 5 \) decrease in price. The revenue for yearbook sales is \( R(x)=(500+125 x)(50-5 x) \).
To maximize profit, what price should the school charge for the yearbooks?
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What is the possible maximum revenue?
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If the school attains the maximum revenue, how many yearbooks will they sell?
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