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Assume an agricultural commodity market is perfectly competitive. The industry demand is Q = 200000 1000P , where Q is bushels of the crop. The

Assume an agricultural commodity market is perfectly competitive. The industry demand is Q = 200000 1000P, where Q is bushels of the crop. The total cost of a typical firm is TC = 1,000 + 50Q + 0.025Q2. Suppose initially there are 100 farmers in the market.

A

B

C

D

E

F

1

Short-Run Equilibrium In a

Perfectly Competitive Market

Industry

2

3

4

Price

Number of Firms

Supply

Demand

D - S

Profit

5

150

100

20000

50000

30000

1800000

6

7

QF

MC

Cost

AC

Mprofit

Profit

8

200

60

12000

60

90

18000

Questions

1) Find the short-run equilibrium price and quantity of bushels of the crop and find the long-run equilibrium number of firms, price and quantity of bushels of food.

2) Are firms making a profit? What will happen in the long-run?

3) Create a separate graph (Like the one above) of a representative firms short-run marginal revenue curve, the marginal cost curve, and average cost curve. Graph from Q=0 to Q=2000 in increments of 10 to Q=100 and increments of 100 to Q = 500 and increments of 500 after to get a nice looking graph. Start average cost after Q=0. Identify the profit maximizing quantity, profit, and calculate the profit in the graph

4) Thoroughly explain the difference between the number of firms, the quantity per firm, the total quantity supplied, the price, and profits between parts (A) and (C)?

5) Calculate the change in consumer surplus between parts (A) and (C). Use this calculation to thoroughly explain whether or not competition is good for consumers.

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