Given the below cost, c and price, p, functions for a product of quantity x: c(x)=100+e ln(x) p(x) =500-5x a. Does the problem indicate an elastic demand at price $250? b. How does the optimum quantity change if the government decides to apply 20% tax to the total revenue of this product?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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Given the below cost, c and price, p, functions for a product of quantity x:

c(x)=100+e ln(x)

p(x) =500-5x

a. Does the problem indicate an elastic demand at price $250?

b. How does the optimum quantity change if the government decides to apply 20% tax to the total revenue of this product?

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