question archive In a market that operates under quantity competition there are 2 firms (Cournot duopoly)

In a market that operates under quantity competition there are 2 firms (Cournot duopoly)

Subject:EconomicsPrice: Bought3

In a market that operates under quantity competition there are 2 firms (Cournot duopoly). The inverse demand function is P = 240 - 2 Q. The cost structure of firm 1 is given by C1(q1) = F1 + c1 q1  and that of firm 2 is given by C2(q2) = F2 + c2 q2. Prior to competing, the two firms can engage in research at levels (x1 , x2) respectively in order to lower their marginal costs. As a result, marginal costs are c1 = 40 - x1 - β2 x2 and c2 = 40 - x2 - β1 x1, where β1 = 0.75 and β2 = 0.625. Finally, the research costs are F1 = 3 (x1 )2/2 and F2 = 4 (x2 )2/2.

If the two firms cannot coordinate their research efforts then the Nash Equilibrium research levels (x1 , x2) are closest to the following:

Group of answer choices

15 for firm one and 16 for firm two.

20 for firm one and 18 for firm two.

5 for firm one and 4 for firm two.

10 for firm one and 8 for firm two.

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