Assignment:
Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula
R(p) = -0.08 p2 + 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) Use the accompanying graph to estimate the price at which the revenue is maximized. Approximately how many pools will be sold monthly at this price?
Area of a sail. The area in square meters for a triangular sail is given by A(x) = x2 + 5x+ 6.
a) Find A(5).
b) If the height of the sail is x + 3 meters, then what is the length of the base of the sail?
Provide complete and step by step solution for the question and show calculations and use formulas.