Suppose that the production function is y= 9k^0.5 N^0.5. With this production function, the marginal product of labor is MPN= 4.5K^0.5 N^-0.5. The capital stock is K= 25. The labor supply curve is NS= 100[(1-t)w]^2, where w is the real wage rate, t is the tax rate on labor income, and hence (1-t)w is the after-tax real wage rate. Required:
a. Assume that the tax rate on labor income, t, equals zero. Find the equation of the labor demand curve. Calculate the equilibrium levels of the real wage and employ- ment, the level of full-employment output, and the total after-tax wage income of workers.
b. Repeat part (a) under the assumption that the tax rate on labor income, t, equals 0.6.

Suppose that a worker in agland can produce either 10 units of organic grain or 2 units of incense per year, and a worker in zenland can produce either 5 units of organic grain or 15 units of incense per year. there are 20 workers in agland and 10 workers in zenland. currently the two countries do not trade. agland produces and consumes 100 units of grain and 20 units of incense per year. zenland produces and consumes 50 units of grain and no incense per year. if each country made the decision to specialize in producing the good in which it has a comparative advantage, then the combined yearly output of the two countries would increase by a. 30 units of grain and 100 units of incense. b. 30 units of grain and 150 units of incense. c. 50 units of grain and 90 units of incense. d. 50 units of grain and 130 units of ince

Dahlia enterprises needs someone to supply it with 127,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. it will cost you $940,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. you estimate that in five years, this equipment can be salvaged for $77,000. your fixed production costs will be $332,000 per year, and your variable production costs should be $11.00 per carton. you also need an initial investment in net working capital of $82,000. if your tax rate is 30 percent and your required return is 11 percent on your investment, what bid price should you submit? (do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

Blue computers, a major pc manufacturer in the united states, currently has plants in kentucky and pennsylvania. the kentucky plant has a capacity of 1 million units a year and the pennsylvania plant has a capacity of 1.5 million units a year. the firm divides the united states into five markets: northeast, southeast, midwest, south, and west. each pc sells for $1,000. the firm anticipates a 50 perc~nt growth in demand (in each region) this year (after which demand will stabilize) and wants to build a plant with a capacity of 1.5 million units per year to accommodate the growth. potential sites being considered are in north carolina and california. currently the firm pays federal, state, and local taxes on the income from each plant. federal taxes are 20 percent of income, and all state and local taxes are 7 percent of income in each state. north carolina has offered to reduce taxes for the next 10 years from 7 percent to 2 percent. blue computers would like to take the tax break into consideration when planning its network. consider income over the next 10 years in your analysis. assume that all costs remain unchanged over the 10 years. use a discount factor of 0.1 for your analysis. annual fixed costs, production and shipping costs per unit, and current regional demand (before the 50 percent growth) are shown in table 5-13. (a) if blue computers sets an objective of minimizing total fixed and variable costs, where should they build the new plant? how should the network be structured? (b) if blue computers sets an objective of maximizing after-tax profits, where should they build the new plant? how should the network be structured? variable production and shipping cost ($/unit) annual fixed cost northeast southeast midwest south west (million$) kentucky 185 180 175 175 200 150 pennsylvania 170 190 180 200 220 200 n. carolina 180 180 185 185 215 150 california 220 220 195 195 175 150 demand ('000 units/month) 700 400 400 300 600