Apple is the sole producer of the iPod. Apples constant marginal cost of producing the iPod is $200. its fixed cost is $736 million and its inverse demand function is P = 600 - 25Q, where Q units are measured in millions.
a. what is apples average cost function?
b. assuming that apple is maximsing short-run monopoly profit, what is its marginal revenue function?
c. what are its profit maximising price and quantity, proft and lerner index?
d. what is the elasticity of demand at the profit maximising level?
e. show apples profit maximising solution in a figure?
A) TC = FC + MC* Q
AC = TC/ Q
= FC/Q + MC
= 736/Q + 200
AC = 736/Q + 200
b) MR = 600-50Q
c) at eqm, MR = MC
600-50Q = 200
400 = 50Q
Q* = 8
P*= 600-25*8
= 600-200
P* = 400
lerner index = (P-MC)/P
= (400-200)/400
= .5
d) elasticity of demand = (P/Q)*dQ/dP
= 400/8*25
= 400/200
= 2
e)
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