Consider a country that produces computers (C) and food (F) using capital (K) and labor(L). Both industries are perfectly competitive. The factors of production are complements.As a result, unit factor requirements are fixed and given by: aKc = 3, aKF=1, aLc = 2 andaLF = 4. Suppose that this economy has 100 units of capital and 150 workers.(c) Suppose that the world price of computers is $16 and the world price of food is $12.Assume that the Home country produces both goods. What are the free trade factorprice levels W and R?(d) How many computers and units of food will the economy produce?(e) Suppose that the endowment of labor increased to 200. Compute the new equilibriumwage, rental rates and quantities produced in the new equilibrium. Provide the intuitionof your results.

In a perfectly competitive market, the factor price (i.e., the price of labor or the rental rate of…

Consider a country that produces computers (C) and food (F) using capital (K) and labor (L). Both industries are perfectly competitive. The factors of production are complements. As a result, unit factor requirements are fixed and given by: aKc = 3, aKF = 1, aLc = 2 and aLF = 4. Suppose that this economy has 100 units of capital and 150 workers.

Consider a country that produces computers (C) and food (F) using capital (K) and labor (L). Both industries are perfectly competitive. The factors of production are complements. As a result, unit factor requirements are fixed and given by: aKc = 3, aKF = 1, aLc = 2 and aLF = 4. Suppose that this economy has 100 units of capital and 150 workers.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter19: Externalities And Public Goods

Section: Chapter Questions

Problem 19.3P

See similar textbooks

Similar questions

Consider a two-sector general equilibrium of production system. Sector one’s unit cost function is c1 = w1/3r2/3 and that of sector two is c2 = w1/2r1/2, where w and r are the wage rate of labor and the rental rate of capital, respectively. Both the input and output markets are all characterized by perfect competition and full employment of both the factors of production. For a one-percent increase in the price of the commodity produced in sector two, what are the percentage changes in factor prices?
Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function Q=F(L,K) Q=10L^0.25 K^0.25 where L is their number of workers and K is units of capital. The wage rate is $500 per week and a unit of capital costs $500 per week. Suppose that when initially producing 10 square feet a week, they use 1 unit of capital.a. What is their short-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ b. What is their short-run average cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ c. What is their long-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ d. What is their long-run average cost of remodeling 80 square feet per week? Instructions: Round your answer…
A software firm has only two inputs to production: domestic programmers based in the firm’s U.K. office and international programmers working from home in low-cost countries.The two types of programmers are perfect substitutes but domestic programmers are more productive due to better communication in the office. The production function is:S = 2D + IWhere S is the amount of software written, D is the number of domestic programmers and I is the number of international programmers. Programmers can work part-time, so hiring 0.3 of a programmer would be possible. (c) The government is concerned about diversity and writes a law saying that at least two workers in any firm must be domestic, and that at least two workers must be international. Show the effect of this law on the firm’s isoquant, the number of each type of worker hired, and total costs.
A software firm has only two inputs to production: domestic programmers based in the firm’s U.K. office and international programmers working from home in low-cost countries.The two types of programmers are perfect substitutes but domestic programmers are more productive due to better communication in the office. The production function is:S = 2D + IWhere S is the amount of software written, D is the number of domestic programmers and I is the number of international programmers. Programmers can work part-time, so hiring 0.3 of a programmer would be possible.(a) The firm must produce 10 pieces of software this year. Show the firm’s isoquant in a suitably labelled graph. Put “domestic programmers” on the vertical axis and “international programmers” on the horizontal axis. Label each axis from 0 to 10.
We typically focus on firms from well-developed economies entering markets of less developed economies. Do firms from less developed economies have a chance of success if they enter developed markets, such as the United States? What competitive advantage could a firm from a less developed economy rely on in entering developed markets? What would likely be the best entry mode?
The nation of Ectenia has 20 competitive apple orchards, all of which sell apples at the world price of $2 per apple. The following equations describe the production function and the marginal product of labor in each orchard: Q=100 L-L2 MPL = 100-2L Where Q is the number of apples produced in a day, L is the number of workers, and MPL is the marginal product of labor a. What is each orchard's labor demand as a function of the daily wage W? What is the market's labor demand? b.Ectenia has 200 workers who suply their labor inelastically. Solve for the wage W How many workers does each orchard hire ? How much profit does each orchard owner make? c.Calculate what happens to the income of workers and orchard owners if the world price doubles to $4per apple. d. Now suppose the price is back at $2 per apple, but a hurricane destroys half the orchards. Calculate how the hurricane affects the income of each worker and of each remaining orchard owner. What happens to the income of Ectenia as a…
A software firm has only two inputs to production: domestic programmers based in the firm’s U.K. office and international programmers working from home in low-cost countries. The two types of programmers are perfect substitutes but domestic programmers are more productive due to better communication in the office. The production function is: S = 2D + I Where S is the amount of software written, D is the number of domestic programmers and I is the number of international programmers. Programmers can work part-time, so hiring 0.3 of a programmer would be possible. (a) The firm must produce 10 pieces of software this year. Show the firm’s isoquant in a suitably labelled graph. Put “domestic programmers” on the vertical axis and “international programmers” on the horizontal axis. Label each axis from 0 to 10. (b) A domestic programmer can be hired for £100,000 per year. An international programmer can be hired for £60,000 per year. On the same graph, show the different combinations of…
A software firm has only two inputs to production: domestic programmers based in the firm’s U.K. office and international programmers working from home in low-cost countries. The two types of programmers are perfect substitutes but domestic programmers are more productive due to better communication in the office. The production function is: S = 2D + I Where S is the amount of software written, D is the number of domestic programmers and I is the number of international programmers. Programmers can work part-time, so hiring 0.3 of a programmer would be possible. (a) The firm must produce 10 pieces of software this year. Show the firm’s isoquant in a suitably labelled graph. Put “domestic programmers” on the vertical axis and “international programmers” on the horizontal axis. Label each axis from 0 to 10. (b) A domestic programmer can be hired for £100,000 per year. An international programmer can be hired for £60,000 per year. On the same graph, show the different combinations of…
A software firm has only two inputs to production: domestic programmers based in the firm’s U.K. office and international programmers working from home in low-cost countries. The two types of programmers are perfect substitutes but domestic programmers are more productive due to better communication in the office. The production function is: S = 2D + I Where S is the amount of software written, D is the number of domestic programmers and I is the number of international programmers. Programmers can work part-time, so hiring 0.3 of a programmer would be possible. (a) The firm must produce 10 pieces of software this year. Show the firm’s isoquant in a suitably labelled graph. Put “domestic programmers” on the vertical axis and “international programmers” on the horizontal axis. Label each axis from 0 to 10. (b) A domestic programmer can be hired for £100,000 per year. An international programmer can be hired for £60,000 per year. On the same graph, show the different combinations of…
Brazil Mexico Soya per unit of labor 0.05 0.02 Corn per unit of labor 1.25 1.40 At what relative “price” of soya to corn would Mexico receive all of the potential gains from trade with Brazil? If production in both countries occur under conditions of perfect competition, and if the wage rate is $2 per hour in Brazil and $5 per hour in Mexico, using your knowledge of microeconomic theory, how would you go about calculating the price of corn in both countries?
Suppose a typical (representative) corn farm has a short run production technology which results in the outcome of U-shaped Average Variable Cost (AVC), Average Total Cost (ATC), and Marginal Cost (MC). Further, suppose this firm sells its product in a market where the price of the good is determined by the interaction of market Demand and Supply. Because an individual firm is very small compared to the rest of the market, we treat the market price as the price given to the firm, and the individual firm cannot impact that price. assume we are in the Short Run for this firm. In graphing, put $ on the vertical axis and lower-case q (firm output) on the horizontal axis. Start with the AFC0, AVC0, ATC0, and MC0 curves . show shifts in any of the cost curves, reflecting the higher cost of land (keeping in mind that this higher cost is independent of how much or how little corn is actually produced) and labeling the changed cost curves with a subscript 1. On the graph with $ on the…
Suppose that wine and cloth are constant returns to scale industries that always use the two inputs (land and labor) in the same proportion. That is, one unit of land must be used in conjunction with one unit of labor to get one unit of output. Assume that the initial endowment is 50 units of land and 60 units of labor. Draw the production possibility frontier between wine and cloth. Be sure to label your picture.