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Given his plot of land, a farmer uses labor (10 workers), capital (5 pieces of equipment), and fertilizer (5 tons) to produce corn. He has figured that each additional worker hired over the course of the growing season adds 5000 bushels to his crop. Each additional unit of capital, on the other hand, adds 10000 bushels to his annual yield. Finally, adding one unit of fertilizer increases the size of his crop by 8000. The annual wage of labor is $10,000, the yearly cost of one unit of capital is $4000, and a ton of fertilizer is also 4000. Is the farmer's mix of inputs optimal? If you were to advise the farmer to change the mix of its inputs, what would your advice be?
Write the function for the indifference curve and graph it when U=10 and U = 20. b) Write the function for the budget constraint and graph it.c) What are the utility maximizing amounts of X1 and x2 given the budget constraint? d) Would your answer..
some company uses capital and labor to produce gizmos. the marginal product of capital is 600, and the marginal rate of technical substitution of labor for capital is 1/4. Calculate the marginal product of labor.
State what is its distribution under the null and why and explain the conditions under which you would reject H0
Suppose the firms play this game for five years in a row, and they know that at the end of five years, both firms plan to go out of business. What is the sub game-perfect equilibrium for this five-period game.
1. What is the consumption spending C at the equilibrium 2. The government is willing to consider an increase in public spending only if the multiplier is higher than 1.5. Base on your calculations will the government implement the increase in govern..
Passengers using New York's MetroCard system must swipe the card at a rate between 10 and 40 inches per second, or else the card must be re-swiped through the card reader. Research shows that actual swipe rates by subway riders.
You have made deposits of $1000 per year in an investment account at the end of each year (beginning at the end of the first year) for ten years. The account earned 6% compounded annually for the first 5 years and 9% compounded annually.
Compared to the prices if $30 and $25, what can you say about the marginal valuation that consumers place on the 300th shirt , the 700th shirt and the 1200th shirt they might buy each year. With diminishing marginal utility, are consumers deriving ..
If the unemployment rate stays two percentage points above full employment for an entire year, a. How many jobs will be lost in a labor force of 160 million b. If the average worker produces $100,000 of output, how much output will be lost
Mr. Jones has deposited his life savings of $70,000 in a retirement income plan with a local bank. The bank pays a. 10%, b. 11.25%, per year, compounded annually, on such deposits.
Suppose that the Fed's inflation target is 2%, potential output growth is 3.5%, and velocity is a function of how much the interest rate differs from 5%: %^V= 0.5 X (i-5). Suppose that a model of the economy suggests that the real interest rate
Suppose the total benefit derived from a given decision, Q, is B(Q) = 25Q - Q^2 and the corresponding total cost is C(Q) = 5 + Q^2, so that MB(Q) = 25 -2Q and MC(Q) = 2Q. What level of Q maximizes net benefits
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