CAS EC 101 Study Guide - Final Guide: Sunk Costs, Marginal Cost, Market Power

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CAS EC 101 Full Course Notes

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Characteristics of perfect competition: many buyers and many sellers, the goods offered for sale are largely the same, firms can freely enter or exit the market. Because of 1 & 2, each buyer and seller is a price taker takes the price as given. Total revenue (tr) = p x q. Average revenue (ar) = tr / q = p. Marginal revenue (mr) = change in tr / change in q. Mr = p for a competitive firm. The change in tr from selling one more unit. A competitive firm can keep increasing its output without affecting the market price. So, each one-unit increase in q cause revenues to rise by p (mr = p) If increase q by one unit revenue rises by mr cost rises by mc. Rule: mr = mc at the profit-maximizing q. If mr > mc , then increase q to raise profit. If mr < mc , the reduce q to raise profit.

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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?

A small firm faces an inverse demand function of P = 100 - Q. Its total cost function is given by TC = .5Q2. (You should see right away that marginal revenue is thus MR = 100 - 2Q, and it also happens that marginal cost is just MC = Q. Both MR and MC are the first derivatives of total revenue and total cost. And a quick comment on MC: unlike some marginal cost functions we've seen, this one is not constant, because marginal cost is getting $1 higher with each additional unit of output.)

The Chief Executive Officer will manage the firm, choosing output and price. Currently, the CEO is negotiating an incentive-based contract with the shareholders of the company.
(Hint: basing compensation on revenue will motivate revenue maximization rather than profit maximization!)

Hint: since the plan creates incentives for the CEO to maximize revenue rather than profit, you should not set MR = MC at this point. BIG hint: revenue is maximized when selling an additional unit won't increase your revenue, or in math terms, when MR = 0.)

Owners' proposal: CEO keeps 10% of TR.

Firm price:
Firm output:
Total revenue:
Firm profit:
CEO compensation:
Remaining profit for owners:

redfrog477

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

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CAS EC 101 Study Guide - Final Guide: Sunk Costs, Marginal Cost, Market Power

CAS EC 101 Full Course Notes

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