Question

In: Economics

Answer the following questions below based on the following monthly product cost data for a company...

Answer the following questions below based on the following monthly product cost data for a company that is selling its product in a perfectly competitive market.

QUANTITY

TC

AV C

ATC

MC

0

800

---

---

---

100

1200

300

1600

500

2500

700

3500

900

4700

  1. Fill in the columns for average variable costs (AVC), average total costs (ATC) and for marginal costs (MC).
  1. How much is the total fixed costs of the firm?

  1. How much is the long-run equilibrium price for this firm?

  1. Explain why this firm will not produce if the price in the market for the product was $2.60?
  1. At a market price of $6, what quantity would this firm produce and what would be their profit?

Please provide correct answers.

Solutions

Expert Solution

A.

Q TC VC AVC ATC MC
0 800 0
100 1200 400 4 12 4
300 1600 800 2.67 5.33 2
500 2500 1700 3.40 5 4.5
700 3500 2700 3.86 5 5
900 4700 3900 4.33 5.22 6

AVC=VC/Q

ATC=TC/Q

MC=change in TC/change in Q

VC=TC-FC

FC does not change with the output so, at quantity 0, TC equals FC.

B.

Total Fixed Cost = 800

Explanation:

FC does not change with the output so, at quantity 0, TC equals FC.

C.

long-run equilibrium price: $5

Explanation:

the long-run equilibrium price is when ATC is minimum.

D.

Explain why this firm will not produce if the price in the market for the product was $2.60?

because the firm will shut down when the price is less than Minimum AVC to minimize losses. here 2.67 is minimum AVC. when the firm will produce, it losses equal to fixed cost and some portion of variable cost. but when it will shutdown loss will be equal to fixed cost only. so the firm will shut down when the price is less than AVC.

E.

900 units

Explanation:

the firm maximizes its profit where MR equals MC. price-taking firm, price=MR. so firm will produce 900 quantity to maximize its profit.


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