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(a) Prove Proposition 10.1.
(b) Show that the differential equation for consumption growth alternatively could have been written as
Proposition 10.1
In the neoclassical growth model with physical and human capital investments described above, the optimal path of physical capital and consumption are given as in the one-sector neoclassical growth model and satisfy the following two differential equations:
Use this approach to discuss the convexity of the indifference curves for the following three functions.
Suppose the demand curves for the two market segments are: Out of town: Q0 = 600 - 10P Local: Q1 = 600 - 20P A. If the resort charges one price to all skiers, what is the profit-maximizing price Calculate how many lift tickets will be sold to each..
Provide three examples of operating firm formed as, sole proprietorship, partnership and corporation. Describe how you decided on categorizing them.
What price will the monopolist charge for his output?
Abby consumes only apples. In year 1, red apples cost $1 each, green apples cost $2 each, and Abby buys 10 red apples. In year 2, red apples cost $2, green apples cost $1, and Abby buys 10 green apples.
Construct a table to report the regressions above, which includes the estimates, the standard errors, and adjusted R-square and find the estimated coefficient of ln(Y earsSchool) in Regression B. What is the interpretation of it?
S makes the first offer, with 4 bargaining rounds of alternating offers, and with S discounting 2% between each bargaining round. Compare bargaining outcomes when B discounts 10% between each bargaining round with B discounting only 1% between eac..
A delivery company is considering adding another vehicle to its delivery fleet, all the vehicles of which are rented for $100 per day. Assume that the additional vehicle would be capable of delivering 1750 packages per day
The present value of K payable after 2 years is $960. If the force of interest is cut in half, the present value becomes $1200. What is the present value if the effective annual discount rate is cut in half
Two firms control the entire market for gasoline. They both have identical marginal costs of $1/gallon. The inverse demand for a gallon of gasoline is given by P(G)=10-1.5G. Now the firm's agree to collude, but Firm A is a bastard, and after agree..
Two production lines are under evaluation. One uses waterjet cutting technology and has an initial cost of $100,000 , an annual operating cost of $10,000 , a useful life of 5years, and a salvage value of $70,000 at the end of 5years.
"DRUGS R US" is a large manufacturer of various kinds of liquid vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content with a standard deviation of 0.3 ounces. Assume the contents of the bot..
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