Question

Question 3 A monopolist faces a demand curve given by P = 105 - 30 where P is the price of the good and Q is the quantity demanded. The marginal cost of production is constant and is equal to $15. There are no fixed costs of production. Hint: To answer the following questions, it may be helpful to draw a graph! What quantity should the monopolist produce in order to maximize profit? What price should the monopolist charge in order to maximize profit? How much profit will the monopolist make? What is the deadweight loss created by this monopoly? (Hint: compare the monopoly outcome with the perfectly competitive outcome). Monopoly deadweight loss = If the market were perfectly competitive, what quantity would be produced?

Answer 1

Ans.3.

Aus ③ Demand tuture, P=105-30 marginal cost, Mc = $15 ( ) Total Revenue, TR 2 P Q TR = (1 oС-3¢) е TR - loro - 3 $105 Tso кафеirt, ролон Deadweight lon Бі МС MR= d TR do - Tos - Gф d MR = ToS – 6 о 15 30 35 "фо кін») х the monopolist's peeofit maximizing land where MR =me оЅ- (р = 15 16. - 1 - Ge Чо - КФ ф. 15 рморі? маҳімія quatty and Р- 105-1 (15) IP: $6о puofit maximizing quice Profit = TR-TC = (1os - 3 Ф) – 150 [1L - мое этс = 15) -( 10 s(is) - 31 1 - 5 (5) <a + 2 {6} Смоороо+, екі-

Moropoly deadweight lona deadweight lom Ź <($60 - 515) x 1530 – IS) DWL $337.5 5 Perfect competitive firm's profit maximizing level | Реме of output where 105-39 = 15 105-15 - 30 90=30 30= q Ø 230 Reofit maximizing output level