question archive Suppose that John is a monopolist in the market of a specific video game

Suppose that John is a monopolist in the market of a specific video game

Subject:MarketingPrice:2.88 Bought3

Suppose that John is a monopolist in the market of a specific video game. His inverse demand curve and cost function are the following:

 

The Equilibrium Price is _____.

a. $60

b. $200

c. $40

d. $80

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Ans: a. $60

TR = P * Q = 80Q -

MR is the first-order derivative of the TR function.

MR = 80 - Q

MC is the first-order derivative of TC function.

MC = Q

The profit maximization condition is,

MR = MC

80 - Q = Q

2Q = 80

Q = 80 / 2 = 40

P = 80 - (Q / 2) = 80 - (40 / 2) = $60