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Problem set 5 for economics 1100, focusing on firm supply and monopoly. Students are required to calculate fixed and variable costs, average variable cost, marginal cost, and production quantities for a competitive firm. Additionally, they must determine the revenue and profit maximizing quantities and prices for a monopolist, and analyze the impact of government intervention. Graphs are required to illustrate various cost and market curves.
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Econ 1100 Name:________________ Professor Lise Vesterlund Group members:________
Ch. 22 Firm Supply Problem 1. A competitive firm has a short run cost function c(y)=y 2 + a. What is firm’s fixed cost of production?
b. What is the firm’s variable cost?
c. What is the firm’s average variable cost?
d. What is the firm’s marginal cost?
e. Illustrate the firms marginal cost, average variable cost, and supply curves in the graph below (be sure to label the axis)
f. If the market price is $8 how much does the firm choose to produce? What are the associated revenue, costs and profit of production?
g. If the market price is $4 how much does the firm choose to produce? What are the associated revenue, costs and profit of production?
Ch.24 Monopoly Problem 2: Suppose the market demand is p=12-y and the monopolist’s cost function is c(y)=0.5 y^2. a. Illustrate the demand curve, and the firm’s MR and MC curves on the graph below. p
13
11
9
7
5
3
1
1 3 5 7 9 11 13 y