In the general model of quantity competition there are i = 1, ..., n firms producing a homogenous good at the same marginal cost (c). Market demand is p(Q) = a – bQ, where p is price, Q = Eq, is the total quantity of output produced and sold by all firms, q; is the quantity of output from firm i, a, b, c>0, and a> c. Fixed costs are F =0. Let p(Q) = 500 – 2Q and c = 30. Calculate lost welfare when there are n = 3 firms in the market. Now calculate lost welfare when there aren=4 firms. 4. %3D

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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In the general model of quantity competition there are i = 1, ..., n firms producing a
homogenous good at the same marginal cost (c). Market demand is p(Q) = a – bQ, where
p is price, Q = q, is the total quantity of output produced and sold by all firms, qi is
i=1
the quantity of output from firm i, a, b, c> 0, and a > c. Fixed costs are F = 0.
4.
Let p(Q) = 500 – 2Q and c = 30. Calculate lost welfare when there are n = 3 firms
in the market. Now calculate lost welfare when there are n = 4 firms.
Use your findings from Q4 to advise policymakers on the relationship between
(Cournot) competition and welfare.
5.
Transcribed Image Text:In the general model of quantity competition there are i = 1, ..., n firms producing a homogenous good at the same marginal cost (c). Market demand is p(Q) = a – bQ, where p is price, Q = q, is the total quantity of output produced and sold by all firms, qi is i=1 the quantity of output from firm i, a, b, c> 0, and a > c. Fixed costs are F = 0. 4. Let p(Q) = 500 – 2Q and c = 30. Calculate lost welfare when there are n = 3 firms in the market. Now calculate lost welfare when there are n = 4 firms. Use your findings from Q4 to advise policymakers on the relationship between (Cournot) competition and welfare. 5.
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