Consider a monopolistic competitive industry with 4 firms producing the same good. The (inverse) demand for the good is given as: p=30-Q where is total units of the good produced by the firms: Q =q₁. Each firm chooses their output q; to maximize profits. The cost of producing q units of output is the same for all firms: C(q) = 6qi for all i = 1, ..., 4. (a) Suppose all 4 firms choose their outputs at the same time (i.c., Cournot model), what will be the profit-maximizing outputs for each firm. [Note: Firms are iden- tical and face the same demand curve, hence model is symmetric]

Microeconomic Theory
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Chapter14: Monopoly
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2. Consider a monopolistic competitive industry with 4 firms producing the same good.
The (inverse) demand for the good is given as:
p=30-Q
where is total units of the good produced by the firms: Q = Eq. Each firm chooses
their output qi to maximize profits. The cost of producing q units of output is the same
for all firms: C(qi) = 6qi for all i = 1, ..., 4.
(a) Suppose all 4 firms choose their outputs at the same time (i.c., Cournot model),
what will be the profit-maximizing outputs for each firm. [Note: Firms are iden-
tical and face the same demand curve, hence model is symmetric]
Transcribed Image Text:2. Consider a monopolistic competitive industry with 4 firms producing the same good. The (inverse) demand for the good is given as: p=30-Q where is total units of the good produced by the firms: Q = Eq. Each firm chooses their output qi to maximize profits. The cost of producing q units of output is the same for all firms: C(qi) = 6qi for all i = 1, ..., 4. (a) Suppose all 4 firms choose their outputs at the same time (i.c., Cournot model), what will be the profit-maximizing outputs for each firm. [Note: Firms are iden- tical and face the same demand curve, hence model is symmetric]
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