Perfect Competition Exercises

  • June 2020
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3 Pat Pizza

P(i)

P(ii) 14

Output

T cost 0 1 2 3 4 5

Output

TR (i) 10 21 30 41 54 69

T cost 0 1 2 3 4 5

0 14 28 42 56 70 MC

10 21 30 41 54 69

ATC 11 9 11 13 15

12 Profit

TR (i) -10 -7 -2 1 2 1

AVC 0 #DIV/0! 21.0 11.0 15.0 10.0 13.7 10.3 13.5 11.0 13.8 11.8

Profit 0 12 24 36 48 60

MR=

-10 -9 -6 -5 -6 -9 14

Shutdown point is minimum point on the AVC curve. This happens at P 10 Supply curve starts from above the price of 10 (the MC) curve Long-run: MC=LAC =13

4 TC MC ATC AVC 0 14 0 0 1 38 24 38.0 24.0 2 48 10 24.0 17.0 3 62 14 20.7 16.0 4 80 18 20.0 16.5 5 102 22 20.4 17.6 6 128 26 21.3 19.0 * Firms with identical cost structure will enter the industry at

MR:

24

MR=

12

MR = MR =

20 24

Q

any price above the lowest ATC po

5 P

Demand Q 3.65 500,000.00 4.4 475,000.00 5.2 450,000.00 6 425,000.00 6.8 400,000.00 7.6 375,000.00 8.4 350,000.00 9.2 325,000.00 10 300,000.00 10.8 275,000.00 11.6 250,000.00 11.4 225,000.00

Supply output MC AVC ATC 150 6 8.8 15.47 200 4.6 7.8 11.8 250 7 7 11 300 7.65 7.1 10.43 350 8.4 7.2 10.06 400 10 7.5 10 450 12.4 8 10.22 500 20.7 9 11

- if each of the 1000 firms, has identical cost structure, firm's output by 1000. - we will then have the MC at every level of market out - since MC is a representation of Supply curve - above t equilibrium occurs when Qs=Qd. this happen at the pri output is 350,000.00 units. (divide by 1000 you get per - each firm make economic loss equal = (P-ATC)*Q = (5 - definitely, firms exit this industry.

13.2 14

200,000.00 175,000.00

Economic loss

-581

Firms remaining

750

6

- if each of the 1000 firms, has identical cost structure, firm's output by 1000. - we will then have the MC at every level of market out - since MC is a representation of Supply curve - above t equilibrium occurs when Qs=Qd. this happen at the pri output is 350,000.00 units. (divide by 1000 you get per - each firm make economic loss equal = (P-ATC)*Q = (5 - definitely, firms exit this industry. - The minimum insentive for firms to stay in the industr Since P = MC, this exactly happen when each firm prod P=10. - On the demand side, at P = 10, market demand is 30 - Dividing total Quantity demand by each firm's output, firms remaining.

980 P

Demand Q 3.65 500,000.00 4.4 475,000.00 5.2 450,000.00 6 425,000.00 6.8 400,000.00 7.6 375,000.00 8.4 350,000.00 9.2 325,000.00 10 300,000.00 10.8 275,000.00 11.6 250,000.00 11.4 225,000.00 13.2 200,000.00 14 175,000.00

Economic loss Firms remaining

Supply output MC AVC Old ATC New 150 6 8.8 15.47 200 4.6 7.8 11.8 250 7 7 11 300 7.65 7.1 10.43 350 8.4 7.2 10.06 400 10 7.5 10 450 12.4 8 10.22 500 20.7 9 11

-1561 444

- Everything stay the same in the short run. Output is - Due to the increased fixed cost, new ATC at this level make economic loss equal = (P-ATC)*Q = (1561). - definitely, firms exit this industry. - The minimum insentive for firms to stay in the indust Since P = MC, this exactly happen when each firm prod P=12,40. - On the demand side, at P = 12,40, market demand i units. - Dividing total Quantity demand by each firm's output 444 firms remaining.

7 Demand New P D 2.95 4.13 5.3 6.48 7.65 8.83 10

500,000.00 450,000.00 400,000.00 350,000.00 300,000.00 250,000.00 200,000.00

ATC 22.00 16.70 14.92 13.70 12.86 12.45 12.40 12.96

Supply output MC AVC ATC 150 6 8.8 15.47 200 4.6 7.8 11.8 250 7 7 11 300 7.65 7.1 10.43 350 8.4 7.2 10.06 400 10 7.5 10 450 12.4 8 10.22

11.18

150,000.00

500

20.7

9

11

- now total output is 300,000 units at price 7,65 - economic loss (834) - in the long run, The minimum insentive for firms to st when P>= ATC. Since P = MC, this exactly happen whe units, and P=10. - On the demand side, at P = 10, market demand is 20 - Dividing total Quantity demand by each firm's output, firms remaining. Economic loss

-834

Firms remaining

500

8 You shouldn't need the solution for this… work it out yourself.

P(iii) 10 TR (i) Profit 0 -10 10 -11 20 -10 30 -11 40 -14 50 -19 12

25.0

AVC

MC

ATC

23.0 21.0 19.0 17.0

10

15.0 13.0 11.0 9.0

The short-run shutdown point (at price 10)- Also the point at which the supply curve emerges

7.0 5.0 0

0.5

1

1.5

2

2.5

3

3.5

4

40.0

20

35.0

12

30.0

Profit

25.0

-14

MC AVC ATC

20.0 15.0

Shutdown point. 0 18

10.0 5.0 0.0

AVC

6

ATC

20 18 16 14 12 10 8 6 4 2 0

,000

ery level of market output. Supply curve - above the AVC, then market . this happen at the price 8,4, and industry de by 1000 you get per firm). equal = (P-ATC)*Q = (581). ry.

Supply

5

,000

dentical cost structure, then we multiply each

Demand

22

4

,000

150,000.00 200,000.00 250,000.00 300,000.00 350,000.00 400,000.00 450,000.00 500,000.00

1000

3

,000

Firms

2

,000

Total output

1

,000

bove the lowest ATC point - which is in this case: 20

8

dentical cost structure, then we multiply each

6

ery level of market output. Supply curve - above the AVC, then market . this happen at the price 8,4, and industry de by 1000 you get per firm). equal = (P-ATC)*Q = (581). ry. ms to stay in the industry is when P>= ATC. en when each firm produce 400 units, and

4 2

300,000

350,000

300,000

350,000

250,000

200,000

150,000

100,000

0

0, market demand is 300,000.00 units. d by each firm's output, we end up having 750

Total output

Firms

1000

Demand

24

Supply

AVC

ATC

22

150,000.00 200,000.00 250,000.00 300,000.00 350,000.00 400,000.00 450,000.00 500,000.00

20 18 16 14 12 10 8 6

he short run. Output is 350 units a firm. t, new ATC at this level is 12,86.each firm ATC)*Q = (1561). try. ms to stay in the industry is when P>= ATC. en when each firm produce 450 units, and

4 2

250,000

200,000

2,40, market demand is approx. 200,000.00

150,000

100,000

0

d by each firm's output, we end up having

Total output 150,000.00 200,000.00 250,000.00 300,000.00 350,000.00 400,000.00 450,000.00

Firms

1000

22 20 18 16 14 12 10 8 6

Demand

Supply

AVC

ATC

14 12 10 8

nits at price 7,65

6

insentive for firms to stay in the industry is his exactly happen when each firm produce 400

4

0, market demand is 200,000.00 units. d by each firm's output, we end up having 500

0

350,000

300,000

250,000

200,000

150,000

2

100,000

500,000.00

shutdown point (at price 10)- Also which the supply curve emerges

3

3.5

4

4.5

MC AVC ATC

5

6

,000

,000

,000

,000

,000

,000

TC

TC

300,000

350,000

400,000

450,000

500,000

550,000

300,000

350,000

400,000

450,000

500,000

550,000

TC

550,000

500,000

450,000

400,000

350,000

300,000

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