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Given the CES utility function: U(X,Y)=((X^d)/d)+((Y^d)/d))
a. Show that the first-order conditions for a constrained utility maximum with this function require individuals to choose goods in the proportion: X/Y=(Px/Py)^1/(d-1)
b. Show that the result in part (a) implies that individuals will allocate their funds equally between X and Y for the Cobb-Douglas case (d=0)
An engineer starts to make quarterly deposits of $1,500 (at the end of a quarter) into an investment account at age of 45. If he wants to have $250,000 when he retires at age of 65, what must be the nominal and effective interest rates per year
Net income from nonfarm unincorporated business, including rent 35 Personal consumption expenditure 398 Imports 170 Undistributed corporate profits 7 Personal taxes 136 a) use expenditure approach to compute GDPb) Calculate NDP c) Calculate NNI
The demand for widgets is found to be Q=100-11P +0.5Y, where P is the price of widgets in dollars, Y is average income in thousands and Q is the quantity of widgets in thousands. Say that P=7 and Y=50.
What is the equilibrium level of income? Is there an inflationary or a deflationary gap? Why? What is its magnitude? What is the value of the government expenditures multiplier? What is the value of G that would move the economy to full employment ..
a. What is the contribution to profits from increasing advertising sales by $1 if Smith Corp. is currently spending between $500,000 and $600,000 on advertising b. What is the profit maximizing level of advertising
Agri-Beef Inc. operates cattle feed lots in several midwestern states. The company wishes to estimate the average daily weight gain of cattle on their lots. To do this a simple random sample of cattle is taken and the daily weight gain is recorde..
Suppose a second nation has the following data. Plot the PPC, and then determine which nation has the comparative advantage in which activity. Show whether the two nations can gain from specialization and trade.
The RX Drug company has just purchased a capsulating machine for $76,000 the plant engineer estimates the machine has a useful life of 5 years and no salvage value. Compute the depreciation schedule using: a) Straight-line depreciation b) Double d..
Southwestren Moving and storage wants to have enough money to purchase a new tractor-trailor in 5 years at a cost of $290,000. If the company set aside $100,000 in 2 years and $75,000 in 3 years how much will the company have to set aside in 4 yea..
suppose that Mr Rich withdraws $ 5 Million from his transactions account at the bank of america and holds the money . Assume a reserve requirement of 25 purcent and no excess reserves in the banking system prior to this withdrawal .
The widget Industry in Anytown is a monopoly, controlled by Widget Corp. Its demand curve for the local market is given by P = 800 - 20 W Where W represents the number of widgets sold per period. The total cost function (including opportunity or impl..
Once again, assume Cournot competition in an industry in which market demand is described by P = 260 - 2Q and in which each firm has a marginal cost of 20. However, instead of two firms, let there now be four. a. What is the one-period Nash equilibri..
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