Author Question: Jacko's rock band is putting out a new CD with its music label. The contract between the band and ... (Read 354 times)

waynest · **on:** Jul 1, 2018

Jacko's rock band is putting out a new CD with its music label. The contract between the band and the label specifies that the band receive 25 of the gross revenues plus another 10,000 up front.

The record label projects the demand for the album p = 50 - 0.003Q where p is the price per CD (in ) and Q is the number of CDs demanded. The cost (not including the band's salary) of producing the CD is constant at 5 per disc. a. Compute the joint-profit-maximizing price and quantity. b. Compute the profit maximizing price that the label will wish to set. c. What price will Jacko want his band's CD sold for? (Assume he only cares about money earned from the CDs.)

Question 2

With full information, any contract will lead to production efficiency.

Indicate whether the statement is true or false

eliasc0401 · **Reply #1 on:** Jul 1, 2018

Answer to Question 1

a. The joint profit function is:
= (50-0.003Q)Q - 5Q
The optimum is where d/dQ = 0, or:
50 - 0.006Q -5 = 0
Q = 7500, p = 27.5
b. The label's net profits are:
= .75(50 - 0.003Q)Q - 5Q
The first order condition is:
37.5 - .0045Q - 5 = 0
Solving Q = 7222, p = 28.33
c. Jeremy's income is:
= .25(50 - 0.003Q)Q + 10,000
The 10,000 does not influence the optimal price and quantity for Jacko, which occurs where:
12.5 - 0.0015Q = 0
or Q = 8,333 and p = 25.

Answer to Question 2

False. A hire or revenue sharing contract will not provide the incentives for the agent to maximize joint profit.