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1. Short-run production functions, with equations. Suppose the production function for neon signs is given by: Q = f(K, L) = KL - 0.8K2 - 0.2L 2
(a) Suppose that capital is fixed at K = 10 in the short run. Find the expression for the average product of labor (APL).
(b) Again assuming that K = 10, determine the expression for the marginal product of labor (MPL).
(c) Graph both the APL and the MPL curves on the axes. (You can assume that 10 = L = 40; otherwise output is negative.) Label all horizontal intercepts of both curves. What is the economic significance of the level of labor at which MPL = 0?
If the t ratio for the slope of a simple linear regression equation is equal to 1.614 and the critical values of the t distribution at the 1% and 5% levels of significance, respectively are 3.499 and 2.365, then what is the slope
Janis could compensate her dormmates for each unit of noise pollution each song played. How much compensation would be required? From her perspective, is paying compensation better than paying the tax, worse, or the same?
If the market for a certain product experiences an increase in supply and a decrease in demand, which of the following results is expected to occur?
Suppose that the Fed wants to stabilize the current price level. How will the Fed respond to the increase in expected future output? Explain why the Fed's response is an example of reverse causation.
Consider the production function in Learning- By-Doing Exercise 7.6: Q = L + K + M.For this production function, the marginal products of labor, capital, and materials are MPL = 1/(2 L), MPK = 1/(2 K), and MPM = 1/(2 M).
You areconsidering depositing $5000 now (i.e. at time t=0) into an IRAaccount that you plan on taking out 40 years from today. Given anincome tax rate of 25% and guaranteed rate of return of 5% compounded annually
In 2010, many unskilled workers in the United States earned the federal minimum wage of $7.25 per hour. By contrast, average earnings in 2010 were about $22 per hour, and certain highly skilled professionals, such as doctors and lawyers.
What role does proximity among producers play in determining whether external economies of scale are achieved?
A Man is planning to retire in 20 years. He can deposit money for his retirement at 6% compounded monthly. It is estimated that the future general inflation rate will be 5% compounded annually. What deposit must be made..
CrystalWater Pty Ltd and ClearWater Pty Ltd are the only producers of spring water in the local market. The market demand for spring water is given by P = 70 - Q1 - Q2. CrystalWater and ClearWater compete by choosing quantities Q1 and Q2
In this case, the attor-ney general does not observe which firm selected the high price (or if bothfirms selected the high price).
If a patient's true ALT concentration is 35 U/l, what is the probability that his specimen will be flagged as "unusually high"?
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