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- Submitted By: foxer07
- Date Submitted: 05/27/2011 7:05 PM
- Category: Business
- Words: 631
- Page: 3
- Views: 6

Problem #1

Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is -1.50. The marginal cost of producing the product is constant at $100, while average total cost at current production levels is $200. Determine your optimal per unit price if:

a. You are a monopolist.

P = (-1.5/(1-1.5))*100=300

b. You compete against one other firm in a Cournot oligopoly.

P = ((2)*(-1.5))/(1+(2)(-1.5))*100=150

c. You compete against 19 other firms in a Cournot oligopoly.

P = ((19)*(-1.5))/(1+(19)(-1.5))*100=103.73

Problem #2

You are a manager of a monopoly that sells a product to two groups of consumers in different parts of the country. Group 1’s elasticity of demand is -2, while group 2’s is -6. Your marginal cost of producing the product is $10.

a. Determine your optimal markups and prices under third-degree price discrimination.

G1(1-2/-2)=10 = (-1/-2)=10 = 20

G2(1-6/-6)= 10 = (-5/-6)=10 = 12

b. Identify the conditions under which third-degree price discrimination enhances profits.

- The firm must have some means of identifying the elasticity of demand by different groups of consumers.

- No type of price discrimination will work if the consumers purchasing at lower prices can resell their purchases to individuals being charged higher prices.

Problem #3

You are the manager of a monopoly. A typical consumer’s inverse demand function for your firm’s product is P = 100 – 20Q, and your cost function is C(Q) = 20Q.

P=100-20Q

Q=5-0.05P

MR=100-40Q

MC=20

a. Determine the optimal two-part pricing strategy.

1/2(100-20(5-1)

½[(100-80)20]=200

b. How...