A firm produces two substitute goods . Their demand curves and total cost function are given below : P1 = 130 - 4Q1-Q 2 P2 = 160-2Q1-5Q2 TC = 2Q1 +2Q1Q2 + 4Q 2 ( a ) Determine the profit maximizing outputs of both goods . ( Restrict your answers to 2 decimal points ) ( b ) Find the price elasticity of demand . ( c ) Evaluate the second order " Hessian " required for profit to be maximized .

A firm produces two substitute goods . Their demand curves and total cost function are given below : P1 = 130 - 4Q1-Q 2 P2 = 160-2Q1-5Q2 TC = 2Q1 +2Q1Q2 + 4Q 2 ( a ) Determine the profit maximizing outputs of both goods . ( Restrict your answers to 2 decimal points ) ( b ) Find the price elasticity of demand . ( c ) Evaluate the second order " Hessian " required for profit to be maximized .

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

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 5E

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A firm produces two substitute goods . Their demand curves and total cost function are given below :

P1 = 130 - 4Q₁-Q ₂

P2 = 160-2Q₁-5Q₂

TC = 2Q₁ +2Q₁Q₂ + 4Q ₂

( a ) Determine the profit maximizing outputs of both goods . ( Restrict your answers to 2 decimal points )

( b ) Find the price elasticity of demand .

( c ) Evaluate the second order " Hessian " required for profit to be maximized .

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Parts B and C