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MGEA02H3 : Production Function, Monopoly Firm, International Trade and Open Economy

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School
UTSC
Department
Economics for Management Studies
Course
MGEA02H3
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all

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MGEA02H3 Full Course Notes
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MGEA02H3 Full Course Notes
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Document Summary

Tc = f (q: relevant terms and formulas: Total cost (tc) = f (q) = tvc + tfc. Total variable cost (tvc) = price of labor x l. Total fixed cost (tfc) = price of capital x k. Average cost (ac) = tc / q. Average variable cost (avc) = tvc / q. Average fixed cost (afc) = tfc / q. Marginal cost (mc) = dtc / dq. Marginal productivity of labor (mpl) = dq / dl. Average productivity of labor (apl) = q/l: short term equilibrium: In the short term, one significant assumption is that no firm will enter the market. Also, as long as the price is greater than the short run shut down price, no firm will exit the market. Profits in the short run can be both positive or negative. Short term shut down price will be the minavc, i. e. , it is the price at the intersection of mc and avc: long term equilibrium.

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Related Questions

Your firm is one of 100 identical firms operating in the short run in a perfectly competitive market. Your total cost function (short run and long run) is C = 800 + 25 q + 0.5 q2, and your marginal cost function is MC = 25 + q. The (short run and long run) market demand curve is given by Q = 2,750 – 5P. a.Find the supply curve for your firm. Show work. Then, find the short-run market supply curve. Show work. b.Find equilibrium price, P*, and quantity, Q*, in the market in the short run.Show work. c.Find the lowest price at which your firm will not exit the market in the long run.Show work. Referring to your answer in part b, should your firm exit the market in the long run if P* in the market does not increase over time?Explain. d.If you choose not to exit, how many firms (including your own) do you expect to be in the market in the long run?Show work, and explain.

Your firm is one of 100 identical firms operating in the short-run in a perfectly competitive market. Your total cost function (short-run and long-run) is C = 500 + 20 q + q2, and your marginal cost function is MC = 20 + 2q. The (short-run and long-run) market demand curve is given by Q = 4,500 - 5P.

a. Find the supply curve for your firm. Then, find the short-run market supply curve. Show work.

b. Find equilibrium price, P*, and quantity, Q*, in the market in the short-run. Show work.

c. Find your firm's total revenue, total cost, and profit in the short-run. Show work.

d. Find the minimum efficient scale (MES) for your firm. Show work. Find the long-run equilibrium price in the market after entry or exit has occurred. Show work.

The daily demand for travel at a small regional airport is initially QD = 1000 - p; where quantity is in passengers and price is in dollars per passenger. There are initially 10 price-taking firms serving this market and each of them has the production function: q = sqrt (lk) where q is in passengers, and labor and capital are in some appropriately specified units. The price of a unit of labor is w = 100 per day; the price of a unit of capital is v = 100 per day, and this industry has constant costs. Each firm initially has a capital stock of k0 = 80. day; and this industry has constant costs. Each firm initially has a capital stock of k0 = 80.

(a) Derive the short-run cost function, SC(q), for each firm in the market.

(b) Derive the short-run market supply function, QS.

(c) Find the short-run competitive equilibrium price, p*, and quantity, Q*. How much labor, L*, does the industry employ at the competitive equilibrium?

(d) Derive the long-run cost function, C(q), of each firm in the industry.

(e) Describe the long-run market supply curve. Does the short-run competitive equilibrium at (Q*; p*) also correspond to a long-run competitive equilibrium? Explain why or why not.

Now, imagine that a catastrophic event causes the daily demand for air travel in this market to fall unexpectedly to ~QD = 750 - p Continue to assume that each of the 10 firms has a capital of k0 = 80 in the short run.

(f) Find the new short-run competitive equilibrium price, p**, and quantity, Q**, in this market. How much labor, L**, does the industry employ in the new short-run competitive equilibrium?

(g) What is the new long-run competitive equilibrium price, p***, and quantity, Q***? Describe what must happen as the industry moves from the short-run competitive equilibrium at (Q**; p**) to the long-run competitive equilibrium at (Q***; p***). How much labor L*** does the industry employ at the new long-run equilibrium?