2. The widget market is characterized by perfect competition. The "inverse" market demand is P = 30 – 0.05Q, while the market supply is Q=-100+20P. The firms are identical, and the cost structure of a typical firm is TC; = 200 + 5Qi+ 0.5Q², with MC; = 5 + Qi a) How many (identical) firms are there currently in the market? b) Derive the competitive equilibrium for the market. c) Solve for the optimal output level for a typical firm.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter14: Firms In Competitive Markets
Section: Chapter Questions
Problem 1CQQ
icon
Related questions
Question

Help

2. The widget market is characterized by perfect competition. The "inverse" market demand is P = 30 – 0.05Q,
while the market supply is Q =-100+20P. The firms are identical, and the cost structure of a typical firm is TC;
= 200 + 5Q; + 0.5Q², with MC; = 5 + Qi
a) How many (identical) firms are there currently in the market?
b) Derive the competitive equilibrium for the market.
c) Solve for the optimal output level for a typical firm.
Transcribed Image Text:2. The widget market is characterized by perfect competition. The "inverse" market demand is P = 30 – 0.05Q, while the market supply is Q =-100+20P. The firms are identical, and the cost structure of a typical firm is TC; = 200 + 5Q; + 0.5Q², with MC; = 5 + Qi a) How many (identical) firms are there currently in the market? b) Derive the competitive equilibrium for the market. c) Solve for the optimal output level for a typical firm.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Comparative Advantage
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
Principles of Microeconomics
Principles of Microeconomics
Economics
ISBN:
9781305156050
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning