Calculus Help! A general exponential demand function has the form q = Ae^−bp (A and b nonzero constants).
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Calculus Help! A general exponential demand function has the form q = Ae^−bp (A and b nonzero constants).

[From: ] [author: ] [Date: 11-10-30] [Hit: ]
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A general exponential demand function has the form q = Ae^−bp (A and b nonzero constants).

(a) Obtain a formula for the price elasticity E of demand at a unit price of p.
E =


(b) Obtain a formula for the price p that maximizes revenue.
p =

This is the last problem I need. Any help would be appreciated.

-
It's just a formula.

E = (p/q)(dq/dp)

dq/dp = -bAe^(−bp)
(p/q)(dq/dp) = [p/Ae^(−bp)] (-bAe^(−bp))
  = -pb
1
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