Consider an industry in which chief executive ocers (CEOs) run rms. There are two types of CEOs: exceptinal and average. There is a fixed supply of 100 exceptional CEOs and an unlimited supply of average CEOs. Any individual capable of being a CEO in this industry is willing to work for a salary of $144,000 per year.
The long-run total cost of a rm that hires an exceptional CEO at
this salary is
CE(Q) =(144 + 1/2Q^2 if Q > 0
0 if Q = 0
where Q is annual output. The long-run total cost for a firm that hires an average CEO for $144,000 per year is CA(Q) = 144 + Q^2 of Q > 0 and 0 otherwise. The market demand curve in this market is D(P) = 7, 200 - 100P. Let n be the number of firms run by average CEOs in the industry.
a) What is the minimum e efficient scale for a firm run by an average CEO? What is the minimum level of long-run average cost for such a firm?
b) What is the long-run equilibrium price in this industry, assuming that it consists of firms with both exceptional and average CEOs?
c) At this price, how much output will a firm with an average CEO produce? How much output will a firm with an exceptional CEO produce?
d) At this price, how much output will be demanded?
e) Using your answers to parts (c) and (d), determine how many firms with average CEOs will be in this industry at a long-run equilibrium.
f) Assuming that firms bid against each other for the services of exceptional CEOs, what would you expect their salaries to be in a long-run competitive equilibrium?