A monopoly's inverse demand function is   p=160-4Q   and it has no fixed costs. Initially marginal cost is 12 (A constant MC and no fixed costs means ATC = MC, Can you prove this to yourself?).  Determine the price, quantity, consumer surplus, profit, total surplus, and deadweight loss .

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter15: Monopoly
Section15.3: The Welfare Cost Of Monopolies
Problem 3QQ
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A monopoly's inverse demand function is 
 
p=160-4Q
 
and it has no fixed costs. Initially marginal cost is 12 (A constant MC and no fixed costs means ATC = MC, Can you prove this to yourself?).  Determine the price, quantity, consumer surplus, profit, total surplus, and deadweight loss
Expert Solution
Step 1

Given Information:

  • Inverse demand function: p=160-4Q
  • MC=12, and ATC=MC=12

We have to compute:

  1. Price (P)
  2. Quantity (Q)
  3. Profit 
  4. Consumer Surplus (CS)
  5. Total Surplus (TS)
  6. Deadweight loss (DWL)
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