Suppose that a firm produces identical commodities and sell them in two separate markets charging two different prices. The demand for the commodity in two markets are (1) P1 = 100 - Q1 and (2) P2 = 80 - Q2, where P1 and P2 are the price of the product that the firm charges, while Q1 and Q2 are demand in each market. Suppose that the firm's cost of production is C(Q) = 6Q. (1) What is the firm's total profit function in terms of the quantity of output? How much should this firm sell each product in two separate markets to maximize total profits?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.3P
icon
Related questions
Question
100%

Suppose that a firm produces identical commodities and sell them in two separate markets charging two different prices. The demand for the commodity in two markets are (1) P1 = 100 - Q1 and (2) P2 = 80 - Q2, where P1 and P2 are the price of the product that the firm charges, while Q1 and Q2 are demand in each market. Suppose that the firm's cost of production is C(Q) = 6Q. (1) What is the firm's total profit function in terms of the quantity of output? How much should this firm sell each product in two separate markets to maximize total profits?

Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Optimal Output
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage