1. In a particular economy, there exists a number of firms with production function y = 1'/2k!/4 and fixed costs 1. Price of input k is 1, price of input I is 2. Only factor l can be varied in the short run. Demand function is D = 500 – 50p. a) What is the long-run equilibrium in this market? b) Suppose now the demand shifts to D = 100– 10p. What is the industry response in the short, in the intermediate and in the long run (calculate prices, output of each firm and the number of firms in the long run)? Hint: You can try to approximate the equilibrium price and quantity in find

ENGR.ECONOMIC ANALYSIS
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1. In a particular economy, there exists a number of firms with production
function y = 1'/2k!/4 and fixed costs 1. Price of input k is 1, price of input
l is 2. Only factor l can be varied in the short run. Demand function is
D = 500 – 50p.
a) What is the long-run equilibrium in this market?
b) Suppose now the demand shifts to D = 100– 10p. What is the industry
response in the short, in the intermediate and in the long run (calculate
prices, output of each firm and the number of firms in the long run)?
Hint: You can try to approximate the equilibrium price and quantity in
the intermediate run or use a graphing calculator to find the answer.
2. A manufacturing monopoly with marginal costs 4 is selling its prod-
ucts to retailers who resell in separate regions, each with an inverse demand
function p = 60 – 2y. Retailers buy the commodity at the price P and resell
it at p.
a) Find P, p and y.
3. Two firms operate in a market with a demand function Y = 40 – p.
The first firm has marginal costs equal to 2, the second equal to 10.
What is the equilibrium price and quantity supplied by each firm under
Von Stackelberg duopoly conditions (assume firm 1 is the leader)?
Transcribed Image Text:1. In a particular economy, there exists a number of firms with production function y = 1'/2k!/4 and fixed costs 1. Price of input k is 1, price of input l is 2. Only factor l can be varied in the short run. Demand function is D = 500 – 50p. a) What is the long-run equilibrium in this market? b) Suppose now the demand shifts to D = 100– 10p. What is the industry response in the short, in the intermediate and in the long run (calculate prices, output of each firm and the number of firms in the long run)? Hint: You can try to approximate the equilibrium price and quantity in the intermediate run or use a graphing calculator to find the answer. 2. A manufacturing monopoly with marginal costs 4 is selling its prod- ucts to retailers who resell in separate regions, each with an inverse demand function p = 60 – 2y. Retailers buy the commodity at the price P and resell it at p. a) Find P, p and y. 3. Two firms operate in a market with a demand function Y = 40 – p. The first firm has marginal costs equal to 2, the second equal to 10. What is the equilibrium price and quantity supplied by each firm under Von Stackelberg duopoly conditions (assume firm 1 is the leader)?
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