SOLUTION: (94) Demand for pools. Tropical Pool 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 th

Question 58269This question is from textbook University of Phoenix Special Edition Series Elementary and Intermediate Algebra
: (94) Demand for pools. Tropical Pool 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 (quantity sold).
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) Use the graph to estimate the price at which the revenue is maximized. Approximately how many pools will be sold at this price?
e) What is the approximate maximum revenue?
This question is from textbook University of Phoenix Special Edition Series Elementary and Intermediate Algebra

Answer by stanbon(48558) (Show Source):
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Demand for pools. Tropical Pool 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 (quantity sold).
a) Factor out the price on the right-hand side of the formula.
R=p(-0.08p+300)
b) What is an expression for the monthly demand?
D(p)=-0.08p+300
c) What is the monthly demand for this pool when the price is $3000?
D(3000)=-0.08(3000)+300=60
d) Use the graph to estimate the price at which the revenue is maximized.
Maximum at p=$1875
Approximately how many pools will be sold at this price?
D(1875)=150 pools
e) What is the approximate maximum revenue?
Same answer as in "d".
cheers,
stan H.