Calculus: Find E for q=Cp^(-k) & Maximize Revenue

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SUMMARY

The elasticity of demand for the function q=Cp^(-k) is defined as E=k. When 01, demand is elastic, suggesting that lowering prices will maximize revenue. For k=1, demand is unitary elastic, meaning that changes in price do not affect total revenue. The discussion raises questions about the realism of this demand function in practical applications.

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rain
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I have some question on elasticity.
If the demand function is q=Cp^(-k), where C and k are positive constants.

a)Find E.
b)if 0<k<1, what does your answer from part a say about how prices should be set to maximize the revenue?
c)if k>1, what does your answer from part a say about how prices should be set to maximize the revenue?
d)if k=1, what does your answer from part a tell you about setting prices to maximize revenue?
e)is this demand function realistic?

part a) my answer is E=k
How do you use part a in answering parts b,c,d,e?
 
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What is the definition of "elasticity"?

How is that connected to how demand varies?
 

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