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Use the same information as in Exercise 1.

a. Derive the firm’s short-run supply curve. (Hint:You may want to plot the appropriate cost curves.)

b. If 100 identical firms are in the market, what is the industry supply curve?

Short Answer

Expert verified

a. The MC curve below above the minimum AVC curve is the short-run supply curve:

b. The industrial supply curve is given below:

Step by step solution

01

Deriving the firm’s short-run supply curve

The supply curve tells about the quantity of output supplied for each possible price. A perfectively competitive firm will produce output from the point where the marginal cost starts covering the average variable cost.

The following data represents the marginal cost and average variable cost of the firm for each price level.

Plotting the marginal cost and average variable costs of the firm for each price level, one can derive the firm’s supply curve.

In the above graph, the part of the marginal curve that lies above the average variable cost (AVC) curve represents the firm’s supply curve. The firm will not produce for the range of price level, which lies below the average variable cost.

Thus, the hatched section of the marginal cost curve represents the supply curve of the firm.

02

Determining the industry supply curve

Since all firms in the industry are identical, the industry supply curve would be the summation of supply curves of individual supply curves.

The industry supply curve is drawn below for each price level:

Thus, the shape of the industry’s supply curve will be the same as the supply curve of an individual firm. But the number of output produced will be the sum of output produced by 100 firms.

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Most popular questions from this chapter

A firm produces a product in a competitive industry and has a total cost function C = 50 + 4q + 2q2 and a marginal cost function MC = 4 + 4q. At the given market price of $20, the firm is producing 5 units of output. Is the firm maximizing its profit? What quantity of output should the firm produce in the long run?

a. Suppose that a firm’s production function is q = 9x1/2in the short run, where there are fixed costs of \(1000, and x is the variable input whose cost is \)4000 per unit. What is the total cost of producing a level of output q? In other words, identify the total cost function C(q).

b. Write down the equation for the supply curve.

c. If price is $1000, how many units will the firm produce? What is the level of profit? Illustrate your answer on a cost-curve graph.

Consider a city that has a number of hot dog stands operating throughout the downtown area. Suppose that each vendor has a marginal cost of \(1.50 per hot dog sold and no fixed cost. Suppose the maximum number of hot dogs that any one vendor can sell is 100 per day.

a. If the price of a hot dog is \)2, how many hot dogs does each vendor want to sell?

b. If the industry is perfectly competitive, will the price remain at $2 for a hot dog? If not, what will the price be?

c. If each vendor sells exactly 100 hot dogs a day and the demand for hot dogs from vendors in the city isQ= 4400 - 1200P, how many vendors are there?

d. Suppose the city decides to regulate hot dog vendors by issuing permits. If the city issues only 20 permits and if each vendor continues to sell 100 hot dogs a day, what price will a hot dog sell for?

e. Suppose the city decides to sell the permits. What is the highest price that a vendor would pay for a permit?

Suppose you are given the following information about a particular industry:

QD = 6500 - 100P Market demand

QS = 1200P Market supply

C(q) = 722 + q2/200 Firm total cost function

MC(q) =2q/200Firm marginal cost function

Assume that all firms are identical and that the market is characterized by perfect competition.

a. Find the equilibrium price, the equilibrium quantity, the output supplied by the firm, and the profit of each firm.

b. Would you expect to see entry into or exit from the industry in the long run? Explain. What effect will entry or exit have on market equilibrium?

c. What is the lowest price at which each firm would sell its output in the long run? Is profit positive, negative, or zero at this price? Explain.

A competitive firm has the following short-run cost function:C(q) =q3 - 8q2 + 30q+ 5.

a. Find MC, AC, and AVC and sketch them on a graph.

b. At what range of prices will the firm supply zero output?

c. Identify the firm’s supply curve on your graph.

d. At what price would the firm supply exactly 6 units of output?

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