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Assume a comsume with the utility funcitonU = U(x,y) = X2Y2
and the typcial budget constraint
M = PxX + PyY
a. Set up the constrained maximization problem and derive the first-order conditions.
b. Derive the consumer's demand for X and Y in terms of parameters.
c. Derive the own-prices of elasticiites of demand. Do the demands obey the law of demand?
(Amounts on the balance sheet are in millions of dollars.) Assets - Reserves $15.90 Loans $150.00 Securities $34.10 Total - $200.00 Liabilities + Capital - Transactions deposits $180.00 Equity capital $20.00 Total - $200.0 Calculate the bank's exc..
In a paticular industry labor supply is Es=10+w and labor demand is Ep=70-3w where E is the level of employment and w is the hourly wage. A. what is the quilibrium wage and employment if the labor market is competitivie? What is the unemplotment rat..
The Rapid Engine Corporation is a multinational producer os small gasoline and Diesel motors. Rapid hs estimated the given cost experience for a new 3.5hp engine over a sample of 122 observations.
Assume that the marginal cost to grocery of selling a bottle of salad dressing to customers who use coupons versus those who don't is identical and equal to $1.50. If the elasticity of demand for coupon users is 5 versus 1.25
Find the equilibrium level of real GDP for Smallville. Note: you will have to solve a quadratic equation - and GDP cannot be negative, for obvious reasons. Y = AD (equilibrium condition) T = 1,200 (taxes - non-income)
1) What total output (Q1 + Q2) will you produce to maximize profits 2) Of the total output in part (1), how many units are produced at teh first facility (what is Q1) 3) Of the total out put in part (1), how many units are produced at the second faci..
A monopoly is considering selling several units of a homogenous product as a single package. A typical consumer's demand for the product is Q^d = 50 - 0.25P, and the marginal cost of production is $120. Determine the optimal number of units to put ..
Now suppose the city council of Metropolis decides to curb congestion in the downtown area by limiting the number of taxis to 6. Applicants participate in a lottery and size winners get a medallion (a permanent license). What is the new equilibriu..
I want to deposit $10,000 now and $15,000 at the end of five years in a bank that pays 15% interest compounded semiannually. I want to withdraw an amount every year for the first five years and to withdraw $500 more for the following four years.
The year is 2020 and the U.S. airline industry has been radically transformed through a recent wave of mergers. Only one company, MONO Airlines, has managed to survive the succession of price wars, labor-management disputes, and government policy.
Write down the firms problem in the long-run. Note the price for capital and labor are respectively, r and w. (Normalize the price of output to be 1 so that w and r are in real terms). (b) Does this production function depict constant return to sca..
c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity combination d. What price-quantity combination maximizes revenue e. Calculate the maximum revenues. f. Is demand elastic, inelastic, or unit elastic at the reven..
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