Practice Calculations I For Questions Essay

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4) Consider a firm that has just built a plant, which cost $20,000. Each worker earns $5.00 per hour.

a)

Based on this information, fill in the table below.

Number of Worker Hours

Output

Marginal Product

Fixed

Cost

Variable

Cost

Total

Cost

Marginal

Cost

Average

Variable

Cost

Average

Total

Cost

0

0

20,000

50

8

20000

20,250

5

5

10

20000

20,500

5

5

8

20000

20,750

5

5

6

20000

21,000

5

5

4

20000

21,250

5

5

85

1900

2

20000

21,500

5

5

71.67

1950

1

20000

21,750

5

5

62.14

b)

In the example above, what price must the firm receive in order to keep producing in the short run?

The price the firm must receive in the short run is the price that covers the variable cost, so the firm must receive at least $5 per unit in the short run. In the long run, of course, the firm has to pay down the $20,000 facility.

c)

In the example above, assume that there is a maximum of 350 worker hours available (that is, there are no possibilities beyond the 350 worker hours shown in the table). What product price must the firm receive in order to remain in this industry in the long run?

In the long run, the firm needs to not only make a profit on each item but cover its fixed cost as well. This would be any price over and above the average total cost. So for example, at 350 workers, the firm needs to receive at least $62.14 to break even.

4) Consider a firm that has just built a plant, which cost $20,000. Each worker earns $5.00 per hour.

a)

Based on this information, fill in the table below.

Number of Worker Hours

Output

Marginal Product

Fixed

Cost

Variable

Cost

Total

Cost

Marginal

Cost

Average

Variable

Cost

Average

Total

Cost

0

0

20,000

50

8

20000

20,250

5

5

10

20000

20,500

5

5

8

20000

20,750

5

5

6

20000

21,000

5

5

4

20000

21,250

5

5

85

1900

2

20000

21,500

5

5

71.67

1950

1

20000

21,750

5

5

62.14

b)

In the example above, what price must the firm receive in order to keep producing in the short run?

The price the firm must receive in the short run is the price that covers the variable cost, so the firm must receive at least $5 per unit in the short run. In the long run, of course, the firm has to pay down the $20,000 facility.

c)

In the example above, assume that there is a maximum of 350 worker hours available (that is, there are no possibilities beyond the 350 worker hours shown in the table). What product price must the firm receive in order to remain in this industry in the long run?

In the long run, the firm needs to not only make a profit on each item but cover its fixed cost as well. This would be any price over and above the average total cost. So for example, at 350 workers, the firm needs to receive at least $62.14 to break even.

5)

A firm in an oligopolistic industry has the following demand, total cost, MR, and MC equations:

P = 600-20Q

TC = 700 + 160Q + 15Q2

MR = 600-40Q

MC = 160 + 30Q

Find:

a. quantity at which profit is maximized (Reminder: show your work).

This should be at the point where marginal revenue = marginal cost

600 -- 40Q = 160 + 30Q

440 = 70Q

Q = 6.28

b. maximum profit.

P at this level would be: 600 -- 20 (6.28) = $474.4

So profit would be Revenue -- Total cost

Revenue is 6.28(474.4) = 2979.23

Total cost at this level would be: 700 + (16)(6.28) + 15 (6.28) 2 = 1392.05

So maximum profit would e: $2,979.

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23 - $1,392.05 = $1,587.18

c. quantity at which revenue is maximized.

600 = 40Q

600 = 40Q

Q = 15

d. maximum revenue.

At Q = 15, P = $300

Revenue = $4,500

Note: I don't know if it's just me, but there is something wrong with this question. The equations don't make a lot of sense, such as marginal revenue declining the more you produce, so that past 15 units marginal revenue is negative. That makes no sense. You also have P, which goes below zero if you produce more than 30 units. So the answers you get don't really make a lot of sense. You can figure the math out, but I gave up trying to make sense of the actual numbers.

6)

Consider the fictitious industries depicted in the three industries shown below. For each industry, calculate the Herfindahl-Hirschman (HH) index and indicate whether or not the Department of Justice would consider it a concentrated industry.

a) Industry #1 Market Share of Each Firm:

Firm

Firm's Percent of Sales

Firm Alpha

60%

Firm Beta

10%

Firm Epsilon

10%

Firm Omega

10%

Firm Delta

10%

Herfindahl-Hirschman Index for Industry #1:

Would the Justice Department consider this a concentrated industry?

Using the Herfindahl-Hirschman Index formula:

.62 + 4 * .12 = 0.4

The U.S. threshold is 0.18, so yes this industry would be considered concentrated by the U.S. Department of Justice.

b) Industry #2 Market Share of Each Firm:

Firm

Firm's Percent of Sales

Verde Company

33%

Rouge Company

33%

Jaune Company

34%

Herfindahl-Hirschman Index for Industry #2:

Would the Justice Department consider this a concentrated industry?

.332 * 2 + .342 = .3334

Again, this industry would be considered to be concentrated.

c) Industry #3 Market Share of Each Firm:

Firm

Firm's Percent of Sales

Felucia

10%

Cato Neimoidia

10%

Mygeeto

40%

Saleucami

40%

Herfindahl-Hirschman Index for Industry #3:

Would the Justice Department consider this a concentrated industry?

.42 * 2 + .12 * 2 = 0.34

Yes, this would be considered concentrated

d) of the three industries shown, which would be considered the most concentrated?

The first industry, at 0.4, would be considered to be the most concentrated of the three, because the higher the number on the index the higher degree of concentration.

7) How is a monopolistically competitive industry like perfect competition? How is it like a monopoly?

A monopolistically competitive industry is similar to perfect competition in that sellers must compete aggressively with one another to win market share. Sellers must find ways to differentiate themselves in such a market environment. An example of perfect competition -- a row of date vendors at the Abu Dhabi Night Market. They must compete by differentiating themselves, such as with their charm or sales skills. Likewise, monopolistically competitive firms must seek creative ways to differentiate themselves from their competition.

In a monopolistically competitive industry, firms seek to use differentiation to create a monopoly for themselves. The idea is that if a firm becomes sufficiently differentiated, it can earn monopoly-like rents on its goods. Where a monopoly gains pricing power by not having competitors, monopolistic competitors gain pricing power by reducing the desire of consumers to use competitors.

8) Many markets show some characteristics of both -- competitive forces and evidence of market influence or power. In the company that you researched, did you see evidence of both? Describe the evidence of firm structure that you observed -- either evidence of competitive forces, or evidence that your firm had the ability to influence prices in the market, or evidence of both.

A good example of this can be found in Apple. Apple has a lot of market influence that derives from the company's strategy of creating differentiated products (different operating systems, for example) and engendering strong brand loyalty. This allows Apple to set its.....

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