Consider a monopolist who faces the inverse demand function of p(y) = 200 – 10y with marginal revenue given by MR= 200 – 20y. In addition the cost function is given by c(y) = 20y²/2 so that the marginal cost is simply, MC = 20y. %3D a) Calculate the monopolists choice of output and the associated price and profit. b)At the monopolists level of output and price, (that is at y* and p*), calculate the consumers price elasticity of demand. Note the elasticity of demand is given by Ay p E = Дру

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Consider a monopolist who faces the inverse demand function of p(y) =
200 – 10y
-
with marginal revenue given by MR= 200 – 20y. In addition the cost function is given
by c(y) = 20y²/2 so that the marginal cost is simply, MC = 20y.
a) Calculate the monopolists choice of output and the associated price and profit.
b)At the monopolists level of output and price, (that is at y* and p*), calculate the
consumers price elasticity of demand. Note the elasticity of demand is given by
Ay p
E =
Дру
Transcribed Image Text:Consider a monopolist who faces the inverse demand function of p(y) = 200 – 10y - with marginal revenue given by MR= 200 – 20y. In addition the cost function is given by c(y) = 20y²/2 so that the marginal cost is simply, MC = 20y. a) Calculate the monopolists choice of output and the associated price and profit. b)At the monopolists level of output and price, (that is at y* and p*), calculate the consumers price elasticity of demand. Note the elasticity of demand is given by Ay p E = Дру
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