Two firms sell substitutable products; the market price is: P = 90-Q, where Q Q1 + Q₂ is the total market quantity, which consists of Q₁ (the quantity produced by Firm 1) and Q₂ (the quantity produced by Firm 2). The firms choose their quantities simultaneously. Firm 1's costs are C₁ = 10- 6Q₁ + Q². Firm 2's costs are C₂ = Q². Which is the payoff function for Firm 2? O 3 π₂ = 90Q₂-0²-Q192. Which is the best response function for Firm 1? O π₂ = 90Q₂ - Q². π₂ = 45 - Q² - Q₁ Q2. π₂ = 45 - 1²/0²/₁ Q₁ = 16. Q₁ = 32 - ²/Q₂. 2 Q₁ = 40 + ²0₂₁ 3 Q₁ = 45. =

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Two firms sell substitutable products; the market price is: P = 90-Q, where Q Q₁ + Q2 is the
total market quantity, which consists of Q1₁ (the quantity produced by Firm 1) and Q2 (the quantity
produced by Firm 2). The firms choose their quantities simultaneously. Firm 1's costs are C₁
6Q₁ + Q². Firm 2's costs are C₂ = Q².
=
O
Which is the payoff function for Firm 2?
O
π₂ = 90Q₂ -
2
Which is the best response function for Firm 1?
O
π₂ = 90Q₂ - Q²².
πT2
π₂ = 45 - Q² Q₁ Q₂₁
2
O
π₂ = 45 - 1²/20₁².
Q₁
Q₁
3
= 16.
²/Q²-Q₁2.
= 32-
2- 1/1/202₂.
3
Q₁ = 45.
Q1 = 40 + ²/Q₂₁
2.2.
=
10-
-
Transcribed Image Text:Two firms sell substitutable products; the market price is: P = 90-Q, where Q Q₁ + Q2 is the total market quantity, which consists of Q1₁ (the quantity produced by Firm 1) and Q2 (the quantity produced by Firm 2). The firms choose their quantities simultaneously. Firm 1's costs are C₁ 6Q₁ + Q². Firm 2's costs are C₂ = Q². = O Which is the payoff function for Firm 2? O π₂ = 90Q₂ - 2 Which is the best response function for Firm 1? O π₂ = 90Q₂ - Q²². πT2 π₂ = 45 - Q² Q₁ Q₂₁ 2 O π₂ = 45 - 1²/20₁². Q₁ Q₁ 3 = 16. ²/Q²-Q₁2. = 32- 2- 1/1/202₂. 3 Q₁ = 45. Q1 = 40 + ²/Q₂₁ 2.2. = 10- -
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