ECON 3411 Lecture Notes - Lecture 40: Market Power, Monopolistic Competition, Decision Rule

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19 Jan 2018

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C(q) = 125 + 4q2: determine the profit-maximizing output and price, and discuss its implications, if. You are a price taker and other firms charge per unit; You are a monopolist and the inverse demand for your product is p = 100 - You are a monopolistically competitive firm and the inverse demand for your brand is p = 100 - q: marginal cost: mc = 8q. This is independent of market structure: price taker. Set mr = mc 40 = 8q q = 5 units. Cost of producing 5 units c(q) = 125 + 4q2= 125 + 100 = . Page 1 of 3: monopoly/monopolistic competition mr = 100 -2q (since p = 100 -q). Set mr = mc, or 100 -2q = 8q. Optimal price: p = 100 -(10) = . Maximal profits: pq -c(q) = (90)(10) -(125 + 4(100)) = . Monopolist will not face entry (unless patent or other entry barriers are eliminated).

Related Questions

PROFIT MAXIMIZATION

Reminders:

Q: Quantity, TC: Total Costs, VC: Variable Costs, MC: Marginal Costs, MR: Marginal Revenue, TR: Total Revenue

1. Suppose the market for DVD movies is perfectly competitive. The industry price for the movies is $24, and a typical firm has the following total cost data:

Q	TC	VC	MC	MR	TR	Net Profit
0	10
1	33
2	53
3	70
4	90
5	114
6	143

a. Calculate the TR, MR, and MC for each level of output.

b. What condition must be met for the firm to maximize profits? What is the profit maximizing level of output and price for this firm? How much profit would be made?

2. Now suppose that some firms have been able to differentiate their DVDs, and the market has become monopolistically competitive. A typical firm now has the following demand schedule and total cost data:

Q	P	TC	VC	MC	MR	TR	Net Profit
0	40	8
1	35	20
2	30	28
3	25	40
4	20	56
5	15	76
6	10	100

a. Calculate the TR, MR, and MC for each level of output.

b. What condition must be met for the firm to maximize profits? What is the profit maximizing level of output and price for this firm? How much profit would be made?

6. Power Printers Total Costs (per hour)

q TC

0 65

1 80

2 95

3 120

4 150

5 200

If the price of a printer is $50 in this perfectly competitive industry, what is the profit-maximizing rate of output?

7. Which of the following is NOT true in a perfectly competitive market?

a. There is free entry and exit into the industry.

b. Each firm produces a differentiated product.

c. Each firm faces a perfectly elastic demand curve.

d. Price is equal to marginal revenue at every output level for the firm.

8. A perfectly competitive firm should always continue to operate in the short run as long as:

a. P < ATC at the rate of output where MR = MC.

b. P < AVC at the rate of output where MR = MC.

c. MR > AVC at the rate of output where MR = MC.

d. MR > AFC at the rate of output where MR = MC.

9. A firm that makes zero economic profits:

a. Must eventually go bankrupt.

b. Should shut down.

c. Incurs a loss, but should not shut down.

d. Covers all its costs, including a provision for normal profit.

10. A monopoly firm is different from a competitive firm in that:

A. There are many substitutes for the monopolistâs product whereas the competitive firmâs demand curve is perfectly elastic.

B. The monopolistâs demand curve is perfectly inelastic, whereas the competitive firmâs demand curve is perfectly elastic.

C. The monopolist can influence the price in the market, whereas the competitive firm is a price taker.

D. All of the above

taupewombat30

1. Which of the following is true under a monopoly?

A. Monopolist chooses the highest possible price.
B. Monopolist chooses a price that is always higher than marginal cost of production.
C. Marginal revenue of a monopolist is price.
D. None of the above are true for monopoly.

2. You are the manager of a monopoly that faces a demand curve described by P = 230 -20Q. Your costs are C = 5 +30Q. The profit-maximizing output for your firm is:

A. 4
B. 5
C. 6
D. 7

3. Which of the following is true?

A. A monopolist produces on the inelastic portion of its demand.
B. A monopolist always earns an economic profit.
C. The more inelastic the demand, the closer marginal revenue is to price.
D. In the short run a monopoly will shutdown if P < AVC.

4. In a competitive industry with identical firms, long rum equilibrium is characterized by:

A. P = AC
B. P = MC
C. MR = MC
D. All of the above

5. You are the manager of a firm that sells its product in a competitive market at a price of $50. Your firm's cost function is C = 40 + 5Q². Your firm's maximum profits are:

A. 125
B. 250
C. 100
D. 85

6. A perfectly competitive firm faces:

A. A perfectly elastic demand function
B. A perfectly inelastic demand function
C. a demand function with unitary elasticity
D. none of the above

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ECON 3411 Lecture Notes - Lecture 40: Market Power, Monopolistic Competition, Decision Rule

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