Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each country
i = H, F have preferences over two goods x and y.
In each country there is only one factor of production, labour, which is perfectly mobile between industries but
immobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowment
in Foreign is LF = 10.
The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units of
good x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of good
y per unit of time.
Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardless
of their prices. That is, Cxi = Cyi, i = H, F.
A. Derive the production possibilities frontier (
the horizontal axis and good y in the vertical axis.
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- Consider a self-employed worker. The worker produces output, q, according to the production function q(h)=h, where h is the number of hours worked. The worker can sell each unit of output for $10 and has a cost of effort given by c(h)=h². This worker should optimally work for ✓hours and will earn a profit of $ Suppose now that the self-employed worker decides to incorporate. She becomes the manager of a firm with one employee who does the actual work. The manager pays a wage of w to the employee. The employee's production function and cost of effort are as before. Now the employee will optimally work for ✓ and the total surplus is $ ✓hours, earning $ ✓ (after subtracting the cost of effort). The profit of the firm will be $ If the manager instead pays w=10, the total surplus is $ ✓ and the firm's profit is $arrow_forwardConsider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F C. Determine the equilibrium price of good x (setting the price of good y as 1) that prevails at Home and Foreig under autarky – that is, when they do not trade with each other. Explain why any other price could not be the…arrow_forwardThere are 2 countries, D and F. There are 2 products X and Y. Each country has only a single input labor hours, Li i, where į is D for Domestic or F for Foreign and j is either X for Good X use of the labor or Y for Good Y use of labor. In country D: In country F: aD*LD, x Yp = bp*LD, Y XF = ag*LF, x YF = be*LF, Y LF = LF, x + LF, Y Xp = LD = LD, x + LD, Y At.the.moment: ap = 0.25, bp =0.5, LD = 32, aF = 0.8, br = 0.4, LF = 40. Each country is operating in autarky and has determined to divide its labor force equal between the production of X and Y. In Autarky find complete the following tables: 10. 11. In Autarky with labor divided equally between the production of each good, how much of each is produced and consumed. Autarky Production Y F 12. What are the ranges for Terms of Trade? Y< X < Y 13. What are the ranges for Terms of Trade? X< Y <arrow_forward
- Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each country i = H, F have preferences over two goods and y. In each country there is only one factor of production, labour, which is perfectly mobile between industries but immobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowment in Foreign is LF = 10. The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units of good or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of good y per unit of time. Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardless of their prices. That is, Cri = Cyi, i = H, F. (a) Calculate the opportunity cost of producing one additional unit of good x in terms of units of good y in Home and Foreign. (b) Derive the production possibilities frontier (PPF) for Home and Foreign and plot it in a…arrow_forwardQuestion-3 Consider the figure below which shows the combined production function of Anna and Bob: Wheat (bushels) A Free-time (hours) [slope at A = slope at y] a) Assume a case where Anna works the land owned by Bob. By referring to the diagram above, explain how does Anna rank the possible allocations marked as X, Y, Z and A? b) Now assume a separate case whereby Anna is a slave to Bob. It is also given that Anna recently suffered from Corona virus and thus her nutrition needs are amplified- for more hours of work that she puts in, she requires more bushels of wheat, even just to survive. Draw a modified version of the diagram above to depict how Anna's biological survival constraint change in this case and also comment with brief reasoning whether Anna would be better off on her altered biological survival constraint compared to before? c) Suppose a new scenario where the Government has introduced a new social welfare program to cater to the poor of the society, wherein the…arrow_forwardConsider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi = H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH = 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F F. Suppose that the equilibrium price of good x (keeping the price of good y as 1) is equal to 1. Determine the optimal production and consumption both at Home and Foreign when they open up to trade. Depict this in graph.arrow_forward
- Consider a world composed of two countries, Home (H) and Foreign (F). Individuals living in each countryi = H, F have preferences over two goods x and y.In each country there is only one factor of production, labour, which is perfectly mobile between industries butimmobile between countries. The total labour endowment at Home is LH 10 and the total labour endowmentin Foreign is LF = 10.The marginal product of labour in each industry is constant. At Home, one worker can produce 2 units ofgood x or 1 unit of good y per unit of time; at Foreign one worker can produce 1 unit of good x or 2 units of goody per unit of time.Assume that consumers in Home and Foreign always consume goods x and y in the same quantity regardlessof their prices. That is, Cxi = Cyi, i = H, F.(a) Calculate the opportunity cost of producing one additional unit of good x in terms of units of good y in Homeand Foreign.(b) Derive the production possibilities frontier (PPF) for Home and Foreign and plot it in a graph…arrow_forwardConsider the Labor Economics Question. This will provide insight into the idea of the optimal number of workers and the value of the marginal product of labor. If wages in the restaurant is $16.80 per hour and the price of a Hamburger is $8.30 and the production function for the workers is: Q = 11L – 0.25L2 How many workers should Your Restaurant employ during the lunch hour to maximize profits? 1 Point (note—the value of the marginal product of labor and the marginal revenue product are the same) We maximize profits which are total revenues less total costs:arrow_forward
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