In: Economics
An aluminum producer acts as a monopolist who sells aluminum to an airplane manufacturer. The airplane manufacturer is also a monopolist. Demand for airplanes is given by P=30-.5Q with price in millions of dollars. The marginal cost of producing aluminum is $1 million. Exactly one unit of aluminum is required to make one airplane. The marginal cost of producing an airplane for the plane manufacturer is the price of aluminum plus $2 million.
The aluminum producer sets the price of aluminum sold to the airplane manufacturer first and the airplane producer sets the price of airplanes second. What will be the price of aluminum and airplanes? How many airplanes are sold? (7 points)
If the supply chain could coordinate to maximize joint profit, what would be the price and quantity of airplanes sold? (5 points)