A school typically sells 500 yearbooks each year for $50 each

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A school typically sells 500 yearbooks each 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 the school sales is R(x)=(500+125x)(50-5x)

  1. To maximize profit, what price should the school charge for the yearbooks?
  2. What is the possible maximum revenue?
  3. If the school attains the maximum revenue, how many yearbooks will they sell?