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 TCi = 200 + 5Qi + 0.5Q¡2, with MCi = 5 + Qi b) 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
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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 TCi = 200 + 5Qi+ 0.5Qi2, with MCi = 5 + Qi
b) 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 TCi = 200 + 5Qi+ 0.5Qi2, with MCi = 5 + Qi b) Solve for the optimal output level for a typical firm.
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