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Country A and country B both have the production function: Y=f(K,L)=K^(1/2)L^(1/2)a. Does this production function have constant returns to scale? Explain.b. What is the per-worker production function, y = f(k)?c. Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using your answer from part ( b) and the steady- state condition that investment equals depreciation, find the steady- state level of capital per worker for each country. Then find the steady-state levels of income per worker andconsumption per worker.d. Suppose that both countries start off with a capital stock per worker of 2. What are the levels of income per worker and consumption per worker? Remembering that the change in the capital stock is investment less depreciation, use a calculator or a computer spreadsheet to show how the capital stock per worker will evolve over time in both countries. For each year, calculate income per worker and consumption per worker. How many years will it be before the consumption in country B is higher than the consumption in country A?
Does the firm have constant, increasing, or decreasing returns to scale? Why? If wages are $20,000 per person per operating period and capital units for $3,000 per unit per operating period, calculate the average cost of producing 12,000 units and..
An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. 45% of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored.
Consider the simple linear regression model without an intercept, y = ß1x + u, with the assumption E(u|x)=0. Also assume that E(x)=0 Show that E(y)=0 and using this as well as E(x)=0 show that the covariance between x and y is given by E(xy) and t..
Suppose that disposable income consumption Andy saving in some country are$200 billion, $150 billion and $50 billion respectively, next assume that disposable income increase by $20 billion, consumption rises by $18 billion and saving goes up by $..
The World of Videos operates a retail store that rents movie videos. For each of the last 10 years, World of Videos has consistently earned profits exceeding $37,000 per year. The store is located on prime real estate in a college town. World of V..
Find the general equilibrium values of the real interest rate, consumption, investment, and the price level.(b)Suppose the money supply increases to 2800. Find the general equilibrium values of the real interest rate, consumption, investment, and t..
Gomez runs a small pottery firm. He hires one helper at $12,000 per year, pays annual rent of $5000 for his shop, and spends $20,000 per year on materials. He has $40,000 of his own funds invested in equipment (pottery wheels, kilns, and so forth)..
Suppose that in a duopoly firms have constant marginal cost MC = 10 per unit. Firm 1 faces demand function q1 = 100 - 2p1 + p2, while firm 2 faces demand function q2 = 100 - 2p2 + p1. What is the Nash equilibrium of this game. What is the Nash equ..
The university is selling bonds to cover the cost of a new power plant for UAF. The face value on the bonds is $100 million and is to be repaid in 10 years with coupons paid annually. There is a 15% chance the effective interest rate will be 5%, 2..
where a > 1. In addition assume that the firms target own profit maximization, compete (simultaneously) in quantities and have marginal costs equal to c1 = c2 = c. Assume that 1 > c > or equal to 0. Describing the necessary mathematical steps, and..
An auto dealership estimates that its demand curve has an elasticity of 2.78. If it wishes to increase sales by 12%, by how much should it decrease price What will happen to revenue (rise or fall) If instead it raises price by 20%, what is the per..
You are an assistant to a senator who chairs an ad hoc committee on reforming taxes on telecommunication services. Based on your research AT&T spends $15 million on related paper work and compliance costs. Depending on the locale, telecom taxes ca..
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