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Using the best response functions you calculated in the previous question, calculate how much each firm produces at the Nash Equilibrium for this game. Using

  1. Using the best response functions you calculated in the previous question, calculate how much each firm produces at the Nash Equilibrium for this game.
  2. Using the
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Firm A and Firm B sell identical goods Total market demand for the good is: Q(P) = 35,100 - 45P The inverse demand function is therefore 1 P(QM) = 780 45 Q = 780 - 0.022220M Qw is total market production (i.c., combined production of firm's A and B. That is: QM = QA + QB As a result, the inverse demand curve for each firm is: P(QA, QB) = 780 - 1 1 45 QA 45 QB = 780 - 0.02222QA - 0.02222QB Unlike the example in class, the two firms have different costs. TCA (QA) = 400QA TCB (QB) = 260QBTote/ leveme lok/ lest) a. Using the demand function and the cost functions above, what is firm A's profit 4 function. = ( P XQA ) = TCA 1DO QA QA QB QA - 400QAUsing the profit function above and assuming that firm B produces Q, calculate what firm A's best response is to firm B's decision to produce Q- Note: Firm A's best response should be a function of QB To = 700-2 QA QB - 400 : 0 2 Q+ + 1 08 = 780- 450 201+ 28 - 380 45 20 n+ De = 300 x 45- 20 A + 28 = 1710 0 2 Q1 = 17, 100 - 08Using the demand function and the cost functions above, what is firm B's profit function TH = ( PX De ) - TCD 17- = 76023 - 2- 0, 28firm B's best response is to firm A's decision to produce QA. Note: Firm B's best response should be a function of QA TB = 700 - 45 Qx - 2 Qg - 260 = 0 45 45 QArt 2/5 QB = 780 - 260 Do + 7QB = 520 45 OF + 203 = 520 *45 QA + 2028 - 23, 40 0 2QB = 23400 - 2x QB = 11, 700 - 1 DX

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