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Assume that a country's production function is Y = AK^.3 L^.7 . The ratio of capital to output is 3, the growth rate of output is 3 percent, and the depreciation rate is 4 percent. Capital is paid its marginal product.
a.) What is the marginal product of capital in this situation? (Hint: The marginal product of capital may be computed using calculus by differentiating the production function and using the capital-output ratio or by using the fact that capital's share equals MPK multiplied by K divided by Y.)
b.) If the economy is in a steady state, what must be the saving rate? (Hint: The saving rate multiplied by Y must provide for gross growth of (d + g)K, where is the depreciation rate.)
c.) If the economy decides to achieve the Golden Rule level of capital and actually reaches it, what will be the marginal product of capital?
d.) What must the saving rate be to achieve the Golden Rule level of capital?
A certain fluidized-bed combustion vessel has an investigation cost of $ 100,000, a life of 10 years, and negligible market (resale) value. Annual costs of materials, maintenance, and electric power for the vessel are expected to tota
In Fairbanks, the Alyeska pipeline service Co. purchased 160 acre homestead from pioneer for $1000 an acre and 250,000 for the cabin and garage. A cabin and garage were preserved as an historical property for an additional $80,000 and moved off-si..
The spending multiplier is equal to what What is the necessary change in government spending alone that is needed to get the economy to full employment The tax multiplier is equal to what What is the necessary change in taxes alone that is needed to..
Assume a firm wants to minimize its cost of producing y amount using x1 and x2 as inputs, which means it wants to minimize w1x1 + w2x2 subject to x1^(1/2)x2^(1/2)= y: (a) Using Lagrange multiplier method, find optimal x1 and x2 as functions of w1,w2 ..
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
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Suppose there are 1,000 small farms in this industry. What will be the output per farm How much revenue will each farm earn If in fact the revenues are sufficiently high to yield handsome profits, how might competition change the happy situation
Suppose the demand function for a firm's product is given by In Qdx=3-0.5 In Px-2.5 In Py In M 2 In A Where Px= $10, Py= $4, M= $20,000, A= $250 A. Determine the own price elasticity of demand, and state whether demand is elastic, inelastic, or unita..
1. Use these combinations for parts a and b: Combination Clothes Food A 1 basket 1 pound B 1 basket 2 pounds C 1 basket 3 pounds D 2 baskets 1 pound E 2 baskets 2 pounds F 2 baskets 3 pounds G 3 baskets 1 pound H 3 baskets 2 pounds I 3 baskets 3 p..
the percentage undervaluation or overvaluation in the Big Mac, based on exchange rates in July 2009. Suppose purchasing power parity holds and in the long run, so that these deviations would be expected to disappear. Suppose the local currency pri..
Suppose the equation for th LM curve is Y=13500+100r. Use this equation to explain the level of income at which there is a zero lower bound on the federal funds rate, the interest rate that the Fed controls.
Analyze the current status on foreign exchange rate, producer price index including descriptions of current status and graphs with APA guidelines.
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