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Question: 1. provide a careful proof:
(a) Prove that a firm's cost function, c(w,y), is concave in w.
(b) Recall the lexicographic preference ordering on X⊂R_+^2: for any x,y∈X,x?y iff either
(i) x_1>y_1or
(ii) x_1=y_1 and x_2≥y_2. Prove that the lexicographic ordering is complete and transitive.
(c) Consider an n-good exchange economy(?^i,e^i )_(i∈Ι) where Ι = {1, ..., I}. Assume that each ?^i satisfies local non-satiation and can be represented by a utility function ui. Prove that any Walrasian equilibrium allocation (WEA) of this economy is Pareto efficient.
The information below describes the real GDP per capita for the country of Bedrock for the period of 1975 to 1991.a. If a new business cycle began in 1975, how long was this cycle b. The peak occurred in which year The trough occurred in which year c..
Does autocorrelation have the same effect on the sampling distribution of the percentage of made free throws if µ=0.8? Describe your procedure in answering this question.
What kind of market failure would this be? How does this kind of market failure affect the efficiency of the market for power? How does it affect the amount of aluminum produced
Which of the following is an example of an external cost?A. secondhand smokeB. increased gas prices for drivers of SUVsC. the cost you pay your plumber to install a new hot water heater
The crowding-in effect depends on the sensitivity of investment
Select one Baldrige Case Study (below). What is your impression of the organization in your case study? Do you think they achieved greater status from their achievement?
What is the total after-tax annual cost of a machine with a first cost of $45,000 and operating and maintenance cost of $0.22 per unit produced? It will be sold for $4,500 at the end of five years. Production is 750 units per day; 250 days per year. ..
One of the reasons for the existence of agglomeration economies is scale economies in intermediate inputs. Answer the following. What are the 3 conditions that are required for the emergence of agglomeration economies from the sharing of input suppli..
Suppose that the level of frictional unemployment is 2 percent, the level of structural unemployment is 3 percent, and the level of cyclical unemployment is 3 percent. Using Okun's Law, we can determine that real GDP in this economy is
two firms produce homogeneous outputs with cost functionsc1q12c22q22and the inverse market demand
between 2008 and 2010 despite significant recent reductions in prices the sales of automobiles declined world-wide but
a explain how the four uses of output help us to determine the gdp.b calculate the gdp using only those numbers that
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