(Solved by Humans)-All of the answers are included, but can someone explain how to

Question

All of the answers are included, but can someone explain how to get these answers?

Suppose there are two types of consumers.? The demand for each type of consumer is given by:

Type A:? Q = 70 ? 2P

Type B:? Q = 60 ? 3P

Suppose a monopolist has constant marginal cost = 6.? Also, for parts a-b, assume that the monopolist is unable to distinguish between the two types of consumers.

a) (4 points) What price should the monopolist charge?

P = $16

b) (2 points) How much profit will this monopolist make?

? = $500.00

Now suppose the monopolist is able to distinguish between the two types of consumers and can effectively price discriminate between them.?

c) (4 points) What price should the monopolist charge to each type of consumer?

Price to type A consumers:

P_A = $20.50 (Q_A = 29)

Price to type B consumers:

P_B = $13 (Q_B = 21)

d) (4 points)How much total profit does the price discriminating monopolist make?

? = $567.50

e) (2 points) Calculate the price elasticity of demand for Type A consumers at the monopolist?s profit maximizing price.

?_A = -41/29

f) ) (2 points) Calculate the price elasticity of demand for Type B consumers at the monopolist?s profit maximizing price.

?_B = -39/21 = -13/7