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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?
Suppose two firms 1 and 2 compete in quantities and face a demand curve p = 100 - q. Suppose firm 1 has a constant marginal cost of 10 while firm 2 has a constant marginal cost of 40. Suppose they produce quantities simultaneously. a.Find quantity..
A firm produces two different goods, with demand given by the following Pa=100-2Qa-Qb and Pd=90-2Qb where Pa=price of good A Pb=price of good B, Qa=quantity of good A and Qb= quantity of good B there are 30 units of each in storage
Public sentiment now changes such that depositors cut their cash holding in half and deposit the other half in time deposit accounts. The reserve requirement on DDs remains 25%, on TDs it remains zero, “m” remains 0, and banks continue to hold no ex..
Barry, a Texas Crude Company engineer who did not take Engineering Economy while studying at Tech, recommended that Texas Crude purchase a special tool to reduce the cost of pumping oil out of the bayous of St. Martin Parish. As a result of Barry'..
Now assume that intermediaries come from a competitive market with an equilibrium price of $8 per unit for their services, that is, any buyer or seller who wants an intermediary's services must pay $8 for them. What is the maximum per unit that se..
Suppose the Canadian dollar (C$) price of one British pound is C$2.12. A hotel room in London costs 120 pounds, while a similar hotel room in Toronto costs C$250. In which city is the hotel room cheaper, and by how much
A monopolist's inverse demand function is P = 150 - 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) = 2Q2. Provide the eq..
Suppose a country has a money demand function ( M/ P)^d = kY, where k is a constant parameter. The money supply grows by 12 per year, and real income grows by 4 percent per year.What is the average inflation rate
Groupon is a popular group purchasing and daily deals website. In a current promotion, a local restaurant to sold buffet vouchers at a step discount on Groupon's website.
Use a Keynesian 45-degree diagram to show the effect of an increase in government spending and how could a reduction in tax rates increase government's tax receipts?
Find the Herfindahl index for an industry composed of (a)three firms-one with 70 percent of the market, and the other two with 20 and 10 percent of the market, respectively; (b) one firm with a 50 percent share of the market and 10 other equalsize..
Consider an individual with preferences over consumption c and leisure l given by: u(c,l) = [(c^(1-γ ))/(1-γ)] + al where γ > 0 and a > 0 are constants. She is endowed with h hours of time to divide between working at wage w and leisure. She has no..
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