In: Economics
Quantity |
Marginal Cost |
ATC |
0 |
— |
—— |
1 |
$3 |
$8.00 |
2 |
2 |
5 |
3 |
3 |
4.33 |
4 |
4 |
4.25 |
5 |
5 |
4.40 |
6 |
6 |
4.67 |
7 |
8 |
5.15 |
8 |
9 |
5.62 |
9 |
10 |
6.11 |
10 |
12 |
6.70 |
Use the table above to answer the following questions. Assume the table above describes the costs for a typical firm in a perfect competition industry and the market equilibrium price is $9.
A) How many units should this firm produce ?
B) What are the firm’s profits ? You must explain how you determined your answer.
C)What is the long run equilibrium price ?
D) If 2024 units are being sold in the market in the long run, how many identical firms are there in the marketing the long run..
Could I get some step by step help on this please? Thank you in advance. :)
A) The firm should produce 8 units
In a perfectly competitive market, the profit of a firm is maximizes when equilibrium price is equal to the marginal cost of the firm. Equilibrium market price is $9. The firm's marginal cost is equal to this at the quantity level 8. So, the firm should produce 8 units
B) Profit = $27.04
Total revenue = price*quantity = $9*8 = $72
At quantity 8, ATC = $5.62
Total cost = ATC*quantity = $5.62*8 = $44.96
Profit = Total revenue - total cost
= $72-$44.96 = $27.04
C) Long run equilibrium price = $4.25
The long run equilibrium price is equal to the minimum of the ATC. ATC minimum is $4.25. At this level each firm produces quantity 4 units.
D) 506 identical firms
From twh part C, we have known that at long run equilibrium, each firm produces at the minimum of ATC and each firm produces 4 units (ATC is minimised at the quantity 4). If the total output is 2024, then the number of identical firms is equal to 2024/4 = 506.