Assignment 9 Question 1 A monopolistic producer of two goods, G, and G2, has a joint total cost function TC = 5Q1 + Q1Q2+5Q2 Where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P, and P2 denote the corresponding prices then the demand equations are P = 40 – Q1 + Q2 P2 = 20 + 2Q1 – Q2 a) Find the total revenue function for each good b) Find the profit function for the firm c) Find the maximum profit if the firm is contracted to produce a total of 12 goods of either type d) Find the price that the firm is supposed to charge for each good. e) Estimate the new optimal profit if the production quota increases to 15 unit

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter10: Prices, Output, And Strategy: Pure And Monopolistic Competition
Section: Chapter Questions
Problem 8E
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Assignment 9
Question 1
A monopolistic producer of two goods, G, and G2, has a joint total cost function
TC = 5Q1 + Q1Q2 +5Q2
Where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P, and P2 denote the
corresponding prices then the demand equations are
P1 = 40 – Q1 + Q2
Ра 3 20 + 2Q1- Q2
a) Find the total revenue function for each good
b) Find the profit function for the firm
c) Find the maximum profit if the firm is contracted to produce a total of 12 goods of either
type
d) Find the price that the firm is supposed to charge for each good.
e) Estimate the new optimal profit if the production quota increases to 15 unit
Transcribed Image Text:Assignment 9 Question 1 A monopolistic producer of two goods, G, and G2, has a joint total cost function TC = 5Q1 + Q1Q2 +5Q2 Where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P, and P2 denote the corresponding prices then the demand equations are P1 = 40 – Q1 + Q2 Ра 3 20 + 2Q1- Q2 a) Find the total revenue function for each good b) Find the profit function for the firm c) Find the maximum profit if the firm is contracted to produce a total of 12 goods of either type d) Find the price that the firm is supposed to charge for each good. e) Estimate the new optimal profit if the production quota increases to 15 unit
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