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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?

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?

A number of stores offer film developing as a service to their customers. Suppose that each store offering this service has a cost functionC(q) = 50 + 0.5q+ 0.08q2 and a marginal costMC= 0.5 + 0.16q.

a. If the going rate for developing a roll of film is $8.50, is the industry in long-run equilibrium? If not, find the price associated with long-run equilibrium.

b. Suppose now that a new technology is developed which will reduce the cost of film developing by 25 percent. Assuming that the industry is in long-run equilibrium, how much would any one store be willing to pay to purchase this new technology?

A sales tax of 10 percent is placed on half the firms (the polluters) in a competitive industry. The revenue is paid to the remaining firms (the nonpolluters) as a 10 percent subsidy on the value of output sold.

a. Assuming that all firms have identical constant long-run average costs before the sales tax-subsidy policy, what do you expect to happen (in both the short run and the long run), to the price of the product, the output of firms, and industry output?

(Hint: How does price relate to industry input?)

b. Can such a policy always be achieved with a balanced budget in which tax revenues are equal to subsidy payments? Why or why not? 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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