Explore BrainMass
Share

# Question about Maximizing Revenue

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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?

© BrainMass Inc. brainmass.com October 9, 2019, 11:17 pm ad1c9bdddf
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.

\$2.19