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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

Using the data in the table, show what happens to the firm’s output choice and profit if the fixed cost of production increases from \(100 to \)150 and then to \(200. Assume that the price of the output remains at \)60 per unit. What general conclusion can you reach about the effects of fixed costs on the firm’s output choice?

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 sales tax of \(1 per unit of output is placed on a particular firm whose product sells for \)5 in a competitive industry with many firms.

a. How will this tax affect the cost curves for the firm?

b. What will happen to the firm’s price, output, and profit?

c. Will there be entry or exit in the industry?

Suppose the same firm’s cost function is C(q) = 4q2 + 16.

a. Find variable cost, fixed cost, average cost, average variable cost, and average fixed cost. (Hint: Marginal cost is given by MC = 8q.)

b. Show the average cost, marginal cost, and average variable cost curves on a graph.

c. Find the output that minimizes average cost.

d. At what range of prices will the firm produce a positive output?

e. At what range of prices will the firm earn a negative profit?

f. At what range of prices will the firm earn a positive profit?

The data in the table below give information about the price (in dollars) for which a firm can sell a unit of output and the total cost of production.

a. Fill in the blanks in the table.

b. Show what happens to the firm’s output choice and profit if the price of the product falls from \(60 to \)50.

qP= \(60
CRÏ€
MCMRP= \)50
RÏ€
MCMR
060
100








160
150








260
178








360
198








460
212








560
230








660
250








760
272








860
310








960
355








1060
410








1160
475








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