3. Suppose the total cost of q units produced by an increasing-cost industry is given by C(q) =q² +8q On the demand side, the aggregate willingness to pay for q units of the good is WTP(q) = 100 q-29² a) Find the aggregate supply and aggregate demand functions. b) Derive the equlibrium assuming the market is competitive. c) Find the maximum amount consumers are willing to pay for the equilibrium output. What is the consumers' surplus equal to? d) Find the total cost of the equilibrium output. What is the average cost equal to? What is the profit of the industry equal to? e) Calculate the total surplus or welfare in equilibrium.

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter13: Firms In Competitive Markets
Section: Chapter Questions
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3. Suppose the total cost of q units produced by an increasing-cost industry is given by
C(q) = q +8q
On the demand side, the aggregate willingness to pay for q units of the good is
WTP(q) = 100 g - 2q²
a) Find the aggregate supply and aggregate demand functions.
b) Derive the equlibrium assuming the market is competitive.
c) Find the maximum amount consumers are willing to pay for the equilibrium output. What is the consumers'
surplus equal to?
d) Find the total cost of the equilibrium output. What is the average cost equal to? What is the profit of the
industry equal to?
e) Calculate the total surplus or welfare in equilibrium.
Transcribed Image Text:3. Suppose the total cost of q units produced by an increasing-cost industry is given by C(q) = q +8q On the demand side, the aggregate willingness to pay for q units of the good is WTP(q) = 100 g - 2q² a) Find the aggregate supply and aggregate demand functions. b) Derive the equlibrium assuming the market is competitive. c) Find the maximum amount consumers are willing to pay for the equilibrium output. What is the consumers' surplus equal to? d) Find the total cost of the equilibrium output. What is the average cost equal to? What is the profit of the industry equal to? e) Calculate the total surplus or welfare in equilibrium.
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