Question Part Question 1. A price discriminating monopoly sells in two markets. Assume that consumers cannot resell
Question:
Question Part
Question 1.
A price discriminating monopoly sells in two markets. Assume that consumers cannot resell the product so no arbitrage is possible. The demand curve in market 1 is given by p1 = 50(q1)/2. The demand curve in market 2 is given by p2 = 50 - q2. The monopoly's aggregate production is Q = q1 + q2. The monopoly's cost function depends on total production and is given by C (Q) = Q^2.
(a) Monopoly: what is the profit function as a function of q1 and q2?
(b) Determine the monopoly's profit-maximizing price and the quantity sold in market 1 and market 2.
(c) Let's pretend now that the CEO's son inherits the company and chooses to try something new. He decomposes the monopoly plant into two plants, where plant 1 sells in market 1 only and plant 2 sells in market 2 only. Each plant has the same cost function: C(qi)=(qi)2C(qi)=(qi)2. Calculate the profit-maximizing output sold by each plant.
(d) Find out how much money was made between the two plants. Does the factory decomposition increase or decrease profits?
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba