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Demand for a product is given by q = -3p^2 + 162p hundredunits per week when the price is p dollars. a) Find the price

Demand for a product is given byq = -3p^2 + 162phundredunits per week when the price is p dollars.

a) Find the price elasticity of demand as a function of.

b) Find the elasticity of demand at a price of $40. Interpret your answer and include the correct units.

c) Use elasticity to determine the price that the company should charge to obtain the largest revenue?

d) What is the largest revenue?

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