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Verify that Theorems 7.13 and 7.14 from Chapter 7 can be applied to the Ben-Porath and lead to (10.14) as necessary and sufficient conditions for an optimal path of human capital investments. [Hint: use a similar argument to that in Section 7.7 in Chapter 7.]
Alvin's utility function is U(W) = W. Barry's utility function is U(W) = W^2. Carl's utility function is U (W )= sqrt(W) . Each has wealth of only $100. An investment of that $100 has a 10% chance of netting $1,000 and a 90% chance of netting a lo..
A machine operation produces bearings whose diameters are normally distributed, with a mean of .498and a standard deviation of .002. If specifications require that the bearing diameter be .500 inch +- .004 inch, what fraction of the production wil..
Assume that Vik reduces its price and increases its sales to 90 pairsandthat this also causes a fall in Fleet's sales to 70 pairs per week. What isthe cross-elasticity between the two products?
A) What is the level of nominal GDP in year 1 B) The Fed adheres to a monetary rule through open market operations. What amount of US securities will it have to sell to, or buy from, banks or the public between years 1 and 2 to meet its monetary r..
A researcher sureys a group of working married women and reports the following results for the first four surveyed: Person % of contribution to household income % contribution to housework x Zx Y Zy C1 601.34 70-1.15 F3 30 -1.34 100 1.61
Find the expected value of X, find the variance of X and what is the conditional distribution of Y given that X=3?
Suppose you deposit $4,000 in currency into your checking account at Bank of America. Assume that Bank of America has no excess reserves at the time you make your deposit and that the required reserve ratio is 10 percent.
Eva runs a small bakery in the village of Roggerli. She is debating whether she should extend her hours of operation. Eva figures that her sales revenue will depend on the number of hours the bakery is open as shown in the table.
What are the arguments on both sides of this debate?
Consider two goods, Gorillas (G) and Chimpanzees (C). Your utility function for gorillas and chimpanzees is given by U(G,C)=ln(G)+C. Gorillas cost $10 each, and Chimpanzees cost $4 each. You currently have $200 to spend.
Draw a figure showing the demand curve and the supply for apartments. What is the market equilibrium rental price per month and the market equilibrium number of apartments demanded and supplied?
Assume there is one good in the economy X, and utility is given by: Ua=Xa Ub=Xb The objective is to maximize the welfare of the social given that only 10 units of X exist in the economy. (i.e Xa+Xb=10) Suppose the utilitarian social welfare functi..
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