3. Two stores are located side by side. They attract customers to each other and to themselves by advertising. The profit functions of the two stores are (45+ x₂)x₁-2 for store 1 and (90+ x₁)x2 - 2x for store 2, where x₁ and x2 are total advertising expenditures by stores 1 and 2, respectively. If each store sets its advertising expenditures independently (as in Nash equilibrium), how much would store 1 spend on advertising? Call this amount A₁. How much would store 1 spend on advertising if it and store 2 act as one firm that maximizes profit? Call this amount A₁M. 3.1 Calculate A₁-

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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3.1
3. Two stores are located side by side. They attract customers to each other and to themselves by
advertising. The profit functions of the two stores are (45+ x₂)x₁-21 for store 1 and
(90+ x₁)x₂ - 2x for store 2, where x₁ and x2 are total advertising expenditures by stores 1 and
2, respectively. If each store sets its advertising expenditures independently (as in Nash
equilibrium), how much would store 1 spend on advertising? Call this amount A₁. How much
would store 1 spend on advertising if it and store 2 act as one firm that maximizes profit? Call
this amount A₁,M.
3.1 Calculate A₁,1-
Transcribed Image Text:3. Two stores are located side by side. They attract customers to each other and to themselves by advertising. The profit functions of the two stores are (45+ x₂)x₁-21 for store 1 and (90+ x₁)x₂ - 2x for store 2, where x₁ and x2 are total advertising expenditures by stores 1 and 2, respectively. If each store sets its advertising expenditures independently (as in Nash equilibrium), how much would store 1 spend on advertising? Call this amount A₁. How much would store 1 spend on advertising if it and store 2 act as one firm that maximizes profit? Call this amount A₁,M. 3.1 Calculate A₁,1-
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