XL Corp has estimated its demand and cost functions to be as follows: P = 60 - 0.2Q C2004Q+ 1.2(Q)^2 where Q is in units, P is in $ and C is in $. a. Calculate the profit - maximizing price and output. b. Calculate the size of the profit. c. Calculate the price elasticity of demand at the above price. d. If there is a $14 tax placed on the good, so that the producer has to pay the government $14 for every unit sold, calculate the new profit maximizing price and output. e. What would happen to profit if the firm tried to pass on all the tax to the consumer in the form of a higher price? f. If fixed costs rise by $200 how would this affect the firm's situation?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter3: Demand Analysis
Section: Chapter Questions
Problem 3E
Question
XL Corp has estimated its demand and cost functions to be as follows:
P = 60 - 0.2Q
C2004Q+ 1.2(Q)^2
where Q is in units, P is in $ and C is in $.
a. Calculate the profit - maximizing price and output.
b. Calculate the size of the profit.
c. Calculate the price elasticity of demand at the above price.
d. If there is a $14 tax placed on the good, so that the producer has to pay the government $14 for every
unit sold, calculate the new profit maximizing price and output.
e. What would happen to profit if the firm tried to pass on all the tax to the consumer in the form of a
higher price?
f. If fixed costs rise by $200 how would this affect the firm's situation?
Transcribed Image Text:XL Corp has estimated its demand and cost functions to be as follows: P = 60 - 0.2Q C2004Q+ 1.2(Q)^2 where Q is in units, P is in $ and C is in $. a. Calculate the profit - maximizing price and output. b. Calculate the size of the profit. c. Calculate the price elasticity of demand at the above price. d. If there is a $14 tax placed on the good, so that the producer has to pay the government $14 for every unit sold, calculate the new profit maximizing price and output. e. What would happen to profit if the firm tried to pass on all the tax to the consumer in the form of a higher price? f. If fixed costs rise by $200 how would this affect the firm's situation?
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