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Consider a monopoly with inverse demand function p = 24 - y and cost function c(y)= 5y2 + 4:
i)Find the profit maximizing output and price, and calculate the monopolist's profits.
ii)Now consider the case in which the monopolist has now another plant with the cost structure c2(y2)= 10y2. How much will the monopolist produce in each plant, what is the price, and the total profits of the monopoly?
iii)Now suppose there is a technological change in the first plant and it has the following cost function: c1 (y1)
= 2y1. How much will the monopolist produce in each plant and what is the price?
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