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Let a firm's long-run production function beQ= 1/10LK +3L^2K-1/10L^3K
Assume that in the short-run the firm's labour input is fixed at 10 units.a) What is the firm's short-run production function?b) What are the short-run average and marginal product of capital functions?
You and a classmate are assigned a project on which you will receive one combined grade. You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation If both of you work hard, you both get an A, ..
A monopolist's inverse demand function is P = 150 - 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) = 2Q2. Provide the eq..
Q1 kilowatts are produced at facility 1, and Q2 kilowatts are produced at facility 2 (so Q = Q1 + Q2). The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q12and C2(Q2) = 6,000 + 3Q22, respectively. Determine the pro..
An individual wishes to deposit an amount of money now and $100 every six months so that at the end of five years $1,500 will have been accumulated. With interest at 3.97% per year, compounded monthly, how much should be deposited now?
A depository institution holds $150 million in Required Reserve and $10 million in Excess Reserves. Its remaining assets include $440 million in Loans and $150 million in Securities. If the institution's only liabilities are transaction deposits, ..
Let X = the monthly tons of dirt moved and assume that it does not change with time. Draw the cash flow diagram for this project as a function of X. Assume that "up" arrows are savings or revenue and down arrows are expenses. If you cannot do part..
Suppose that there are two countries, X and Y, that differ in both their rates of investment and their population growth rates. In country X, investment is 20% of GDP, and the population grows at 0% per year. In country Y, investment is 5% of GDP,..
Moorea spends all of her income on Mochi Frozen Yogurt which costs $1 per cup. She makes $400 per month but lives in a bad neighborhood and is robbed of half her money 20% of the time. Assume YN and YR represent her consumption of yogurt in cups..
The Manchester Athlete's Club (MAC) is a private, not-for-profit athletic club located in St. Petersburg, Florida. MAC currently has 3,500 members but is planning on a membership drive to increase this number significantly. An important issue faci..
In a large city it was found that summer electricity bills for single-family home followed a normal distribution with standard deviation $100. A random sample of 25 bills was taken. a. Find the probability that the sample standard deviation is less..
A zero crowding-out effect occurs when the government spending increases, but the investment does not decrease. In terms of absolute values, a partial crowding-out effect occurs when the increase in government spending is greater than the decrease..
Assume that the LM curve for a small open economy with a fixed exchange rate is given by Y = 200r - 200 + 2(M/P). This IS curve is given by Y = 400 + 3G - 2T + 3NX - 200r. The function for the net exports is NX = 200 - 100e, where e is the..
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