Approximating maximum revenue


Assignment:

Use factoring to solve the problem.

Demand for pools. Tropical pools sells an aboveground model for p dollars each. The monthly revenue from the sale of this model is given by..R= -0.08p^2 + 300p

Revenue is the product of the price p and the demand.

a) Factor out the price on the right hand side of the formula
b) What is an expression for the monthly demand?
c) What is the monthly demand for this pool when the price is $3000
d) At what price will the revenue be maximized. Approximately how many pools will be sold monthly at this price?
e) What is the approximate maximum revenue?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Approximating maximum revenue
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