A telephone company has isolated three distinct demands for its services: Weekdays: Q1=90-0.5P1 Holidays: Q2=35-0.25P2 Nights: Q3=30-0.2P3 TC=25+20Q WHERE Q=Q1+Q2+Q3 Show that as a discriminatory monopolist this company will maximize profits by charging the highest price in the market where the price elasticity of demand is lowest, by finding a) the profit maximizing level of output b)the profit maximizing price and c) the price elasticity of demand in each market Use Cramer's rule for solving simultaneous equatio

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A telephone company has isolated three distinct demands for its services:
Weekdays: Q1=90-0.5P1
Holidays: Q2=35-0.25P2
Nights: Q3=30-0.2P3
TC=25+20Q WHERE Q=Q1+Q2+Q3
Show that as a discriminatory monopolist this company will maximize profits by charging the highest price in the market where the price elasticity of demand is lowest, by finding
a) the profit maximizing level of output
b)the profit maximizing price and
c) the price elasticity of demand in each market
Use Cramer's rule for solving simultaneous equations and the Hessian for the second order conditions

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