# Question about Maximizing Revenue

Demand for pools. Tropical Pools sells an above ground model for p dollars each. The monthly revenue for this

model is given by the formula R(p)=0.08p2 +300p.

Revenue is the product of the price p and the demand (quantity sold).

a) Factor out the price on the right-hand side of the formula.

b) Write a formula D(p) for the monthly demand.

c) Find D(3000).

d) Estimate the price at which the revenue is maximized. Approximately how many pools will be sold monthly at this price?

https://brainmass.com/math/linear-transformation/estimating-price-revenue-maximized-251557

#### Solution Preview

Please find attached the solution properly described and also in the attached file.

R= -0.08p^2 + 300p

Revenue is the product of the price p and the demand (quantity sold).

Let the ...

#### Solution Summary

The solution contains detailed step-by-step answers including a graph to estimate the price at which revenue is maximized.