Consider a Cournot oligopoly with two firms, where the demand curves are given by P, = 100- Q1 - 2Q2 P2 = 100– 2Q, –Q2 and that costs are given by TC(Q1) = Q, , MC, = 2Q1, TC(Q2) =Q²2, and MC2 = 2Q2.

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QUESTION 25
Consider a Cournot oligopoly with two firms, where the demand curves are given by
P, = 100-Q, - 2Q2
P2 = 100- 2Q1 -Q2
and that costs are given by TC(Q1) = Q, , MC, = 2Q1, TC(Q2) = Q²2, and MC2 = 2Q2.
Also, marginal revenues can be written as MR, = 100– 2Q, - 2Q2, MR2 = 100- 2Q, - 2Q2.
Now, suppose that a marketing company approaches firm 1 and tells them that they can help them differentiate their product, so that instead
of firm 2 affecting their demand curve in the manner described by the equation in P1 above, they guarantee that firm 1's demand equation
after marketing will be of the form
P1 = 100-Q1 -BQ2,
where B is estimated to lie somewhere between 0 and 1. In this case, firm 1's marginal revenue function would be
MR1 = 100 – 2Q1-BQ2.
Without any further information, and knowing only that B will fall somewhere between 0 and 1, what is the maximum amount firm 1 should be
prepared to pay for these marketing services? (There is an exact answer to this question, which I hope for you to arrive at. But in order to
avoid decimal/rounding error, please choose the range within which the correct answer falls).
O Between $650-700.
O Between $350-400.
O Between $250-300.
O Between $1000-1500.
Transcribed Image Text:QUESTION 25 Consider a Cournot oligopoly with two firms, where the demand curves are given by P, = 100-Q, - 2Q2 P2 = 100- 2Q1 -Q2 and that costs are given by TC(Q1) = Q, , MC, = 2Q1, TC(Q2) = Q²2, and MC2 = 2Q2. Also, marginal revenues can be written as MR, = 100– 2Q, - 2Q2, MR2 = 100- 2Q, - 2Q2. Now, suppose that a marketing company approaches firm 1 and tells them that they can help them differentiate their product, so that instead of firm 2 affecting their demand curve in the manner described by the equation in P1 above, they guarantee that firm 1's demand equation after marketing will be of the form P1 = 100-Q1 -BQ2, where B is estimated to lie somewhere between 0 and 1. In this case, firm 1's marginal revenue function would be MR1 = 100 – 2Q1-BQ2. Without any further information, and knowing only that B will fall somewhere between 0 and 1, what is the maximum amount firm 1 should be prepared to pay for these marketing services? (There is an exact answer to this question, which I hope for you to arrive at. But in order to avoid decimal/rounding error, please choose the range within which the correct answer falls). O Between $650-700. O Between $350-400. O Between $250-300. O Between $1000-1500.
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