A monopoly that produces beer has estimated the following demand function: 1 p(q) = 300 - q+ 20t 3000 The variables are defined as follows: p is the price of a liter of beer, q is production, and t is the monthly average temperature in degrees centigrade. The estimated cost of producing a liter of beer is $12. Below is a table with the average temperature recorded in Arizona during March and April. Month Temperature March 35 April 38 a) Find the optimal price for the monopolist in each month b) Calculate the Mark-up for April and according to it estimate the elasticity of demand. Comment on the results. C) Determine the efficiency loss in the month of March.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A monopoly that produces beer has estimated the following demand function:
1
p(q) = 300
q + 20t
3000
The variables are defined as follows: p is the price of a liter of beer, q is production, and t is the
monthly average temperature in degrees centigrade. The estimated cost of producing a liter of
beer is $12. Below is a table with the average temperature recorded in Arizona during March and
April.
Month
Temperature
March
35
April
38
a) Find the optimal price for the monopolist in each month
b) Calculate the Mark-up for April and according to it estimate the elasticity of demand.
Comment on the results.
C) Determine the efficiency loss in the month of March.
Transcribed Image Text:A monopoly that produces beer has estimated the following demand function: 1 p(q) = 300 q + 20t 3000 The variables are defined as follows: p is the price of a liter of beer, q is production, and t is the monthly average temperature in degrees centigrade. The estimated cost of producing a liter of beer is $12. Below is a table with the average temperature recorded in Arizona during March and April. Month Temperature March 35 April 38 a) Find the optimal price for the monopolist in each month b) Calculate the Mark-up for April and according to it estimate the elasticity of demand. Comment on the results. C) Determine the efficiency loss in the month of March.
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