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Assume that a monopoly's production function is Cobb-Douglas, Q = L^1/2 * K^1/2, where L is labor and K is capital. The demand function is P = 100 - Q. The wage rate, wL, is $1 per hour, and the rental rate of capital, wK, is $4 per hour.
(a) Derive the long-run total cost curve equation as a function of Q.
(b) What are the monopoly's profit maximizing price and quantity?
(c) Find the optimal input combination that produces the profit-maximizing quantity.
The price elasticity of demand for heroin is .27. Suppose that half of the existing heroin users support their habits with property crime. Further, the loss from property crimes committed by heroin users equals half of the total spending (total r..
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 ..
In 2003, the market price for a 3,000 square foot home in South Tampa, Florida was $350,000 and 358 new homes were built. In 2004, the market price for a 3,000 square foot home in South Tampa, Florida increased to $385,000 and, holding all else eq..
Suppose that the inverse demand for shale gas is given by p = 400 - 2q. The private marginal cost of producing shale gas is PMC = 100 + q. Suppose that in order to produce shale gas at the PMC given above, the oil and gas (O&G) companies (that pro..
A high-tech company in the US can have one of the popular items made offshore at half the price of making them in the US. However, about 90% of the items made offshore will be returned within the warranty period of 1 year for repairs. The followin..
Determine the expected signs of the various coefficients and explain your reasoning.
Sua suppose a farmer has some money of his own to invest in a better way to cultivate his land. there are two techniques, both of which require an initial start-up capital of $200. The first technique is risk free and generates a return of 20..
the daughter of a women with the income in the bottom third of the income distribution will herself have a 60% chance of being in the bottom third, a 25% chance of being in the middle third, and a 15% chance of being in the top third. Income Group..
As a natural experiment to estimate the effect of education on receivings, a researcher compares schooling and educational attainment of two groups of people.
Assume that Aquafresh own price elasticity is -1.5 and that the Colgate cross price elasticity of demand with respect to Aquafresh price change is 1. How do you interpret the own and cross price elasticities? Which brand is Aquafresh mainly competi..
It has been hypothesized that overall success for college freshmen as measured by grade point average (GPA) is a function of IQ scores (X1), hours spent studying each week (X2), and one's high school average (X3). Suppose the regression equation i..
Company A just paid a $3.00 dividend per share. The dividend is expected to grow at a 4% rate indefinitely. The beta of the stock of Company A is 1.5. The market risk premium is 8% and the risk-free rate is 3%. (a) What is the expected return on t..
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