The Beatz Corporation makes and sells 20,000 multisystem music players each year. Its assembly division purchases components from other divisions of Beatz or from external suppliers and assembles the multisystem music players. In particular, the assembly division can purchase the CD player from the compact disc division of Beatz or from Youku Corporation. Youku agrees to meet all of Beatz’s quality requirements and is currently negotiating with the assembly division to supply 20,000 CD players at a price between $ 44 and $ 52 per CD player.

A critical component of the CD player is the head mechanism that reads the disc. To ensure the quality of its multisystem music players, Beatz requires that if Youku wins the contract to supply CD players, it must purchase the head mechanism from Beatz’s compact disc division for $ 24 each.

The compact disc division can manufacture at most 22,000 CD players annually. It also manufactures as many additional head mechanisms as can be sold. The incremental cost of manufacturing the head mechanism is $ 18 per unit. The incremental cost of manufacturing a CD player (including the cost of the head mechanism) is $ 30 per unit, and any number of CD players can be sold for $ 45 each in the external market.

Required

1. What are the incremental costs minus revenues from sales to external buyers for the company as a whole if the compact disc division transfers 20,000 CD players to the assembly division and sells the remaining 2,000 CD players on the external market?

2. What are the incremental costs minus revenues from sales to external buyers for the company as a whole if the compact disc division sells 22,000 CD players on the external market and the assembly division accepts Youku’s offer at (a) $ 44 per CD player or (b) $ 52 per CD player?

3. What is the minimum transfer price per CD player at which the compact disc division would be willing to transfer 20,000 CD players to the assembly division?

4. Suppose that the transfer price is set to the minimum computed in requirement 3 plus $ 2, and the division managers at Beatz are free to make their own profit-maximizing sourcing and selling decisions. Now, Youku offers 20,000 CD players for $ 52 each.

a. What decisions will the managers of the compact disc division and assembly division make?

b. Are these decisions optimal for Beatz as a whole?

c. Based on this exercise, at what price would you recommend the transfer price be set?