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The demand function for a Christmas music CD is given by q=0.25(225−p^2) where q (measured in...

The demand function for a Christmas music CD is given by

q=0.25(225−p^2)

where q (measured in units of a hundred) is the quantity demanded per week and pp is the unit price in dollars.

(a) Evaluate the elasticity at p=10. E(10)=

(b) Should the unit price be lowered slightly from 10 in order to increase revenue?     yes    no   

(c) When is the demand unit elastic?  p=______dollars

(d) Find the maximum revenue. Maximum revenue =________ hundreds of dollars

Math   Calculus   
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