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A profit-maximizing firm manufactures widgets (Y) using machines (K) and full-timeworkers (L). In any given week, its output is given by the production function:Y= F (K, L) = 1200K +700L + 2KL - L2 - 2K2The marginal product of labor (MPL) isMPL = 700 +2K - 2LAnd the marginal product of capital (MPK) isMPK = 1200 +2L - 4K
The firm operates in perfectly competitive market and product markets. The going price of capital (r) is $1,000 per machine per week. Moreover, the firm sells its output at the going price (p) of $1 per widget. Consider the firm's short run labor demand problem.
If the current stock of capital is fixed at 250 units, how many full-time workers should the firm employ if the weekly salary of each full-time worker (w) is $400 per week? Compute the firm's level of output and profits per week in this short-run equilibrium.
Recent increases in rents have caused the citizens of Elmville to vote for a rent ceiling of $1200. Assuming all rental units in Elmville are identical and the supply and demand for rental units are given by Qs = -1000 + 20P Qd = 50000 - 10P
Assume Nail Mania advertises in the local newspaper. Each day it advertises costs $100. Over the past several months, Nail Mania has conducted market research and developed the following information Number of days advertised per week Number of cust..
The real risk-free rate is 3.3%. Inflation is expected to be 3.15% this year, 4.25% next year, and then 3.4% thereafter. The maturity risk premium is estimated to be 0.05(t - 1)%, where t = number of years to maturity. What is the yield on a 7-yea..
Calculate the overall rate of interest the couple will pay using this arrangement. If you answer using a percent, please include a minimum of two significant digits in your answer. If you answer using a decimal, please include a minimum of four ..
Michael Illitch bought the Detroit Tigers in 1992 for $82 million, which amounted to $114.15 million in 2005 dollars. By 2005, the Tigers were worth $292 million. Calculate the real compound annual rate of return on that investment.
What quarterly deposit must be made at the end of each quarter until Corey retires so that he can make a withdrawal of $40,000 semiannually over the first 10 years of his retirement. Assume that his first withdrawal occurs at the end of six months..
Consider a seller who values a car at $9,500 and a buyer who values the same care at $10,000. What total surplus will result from a transaction between the two when the seller is faced with the follow sales tax rates: 0%, 2%, 4%, 6%, and 8%
The general Manager of an engineering firm wants to know whether a technical artist's experience influences the quality of his or her work. A random sample of 24 artists is selected and their years of work experience and quality rating(as assessed..
Suppose that currency in circulation is $600 billion, the amount of checkable deposits is $900 billion, excess reserves are $15 billion, and the required reserve ratio on checkable deposits is 10%. Calculate the money supply, the currency deposit r..
The cost associated with maintaining rural highways follows a predictable pattern. There are usually no costs for the first three years, but maintenance is required for restriping, weed control, light replacement, shoulder repairs, etc.
Determine the present worth of 5 annual deposits of $1,200 at the end of years 1 through 5, followed by 4 equal annual withdrawals of $700nat the end of years 4 through 7. Note that both years 4 and 7 will have a depsoit and a withdrawal.
Three students have each saved $1000. Each has an investment opportunity in which he or she can invest up to $2000. The rates of return on the students' investment projects are: Harry: 5% Ron: 8% Hermione: 20%.) If borrowing and lending is prohibit..
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