Let α, β be cuts as defined by the following:
1) α ≠ ∅ and α ≠ Q
2) if r ∈ α and s ∈ Q satisfies s < r, then
s ∈ α.
3) if r ∈ α, then there exists s ∈ Q with s
> r and s ∈ α.
Let α + β = {r + s | r ∈ α and s ∈ β}.
Show that the set of all cuts R with the...
A firm’s production function is ? = ?Lα
?β where A, α, and β are positive constants. The firm
currently uses 500 units of labor and 40 units of capital. If the
firm adds 1 more unit of labor, what happens to productivity of
capital? Explain.
Given a production function Q = f(L, K), if marginal product of
labor and marginal product of capital are both positive, then this
function displays diminishing MRTS. Explain if this statement is
true or...
Consider the model
Et = α + β It +
ut where ut has
a zero mean
Where Et is aggregate expenditure on a good and
It is total income. Given the following information
OLS Estimates Using 51 Observations
Dependent Variable Et
Variable
Coeff
STD error
T Stat
constant
0.26644
0.3294
.809
It
0.06754
.0035
19.288
SSR = 157.90709
Unadjusted R2 = 0.884
Adjusted R2 = .881
OLS Estimates Using 51 Observations
Dependent Variable u2t...
1.
Homework 4
Due: 2/28
Let X1,...,Xn i.i.d. Gamma(α,β) with α > 0, β > 0
(a) Assume both α and β are unknown, find their momthod of moment
estimators: αˆMOM and βˆMOM. (b) Assume α is known and β is
unknown, find the maximum likelihood estimation for β.
2.
1. Let α < β be real numbers and N ∈ N.
(a). Show that if β − α > N then there are at least N
distinct integers strictly between β and α.
(b). Show that if β > α are real numbers then there is a
rational number q ∈ Q such β > q > α.
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2. Let x, y, z be real numbers.The absolute value of x is
defined by
|x|= x, if x ≥...
Characteristics of α, β, and γ rays
Given below are statements that summarize the characteristics of α, β, and γ rays. Identify the characteristics that correspond to each type of radiation.
1. it is symbolized as 4/2 He
2. it has the weakest penetrating power
3. It is a high-speed electron
4. It possesses neither mass nor charge
5. it has the strongest penetrating power
6. its is symbolized as 0/-1e
7. it is the most massive of all the components
Drag the appropriate...
The specific rotations of the α and β anomers of D-glucose are +112 degrees and +18.7 degrees, respectively. Specific rotation, [α]D, is defined as the observed rotation of light of wavelength 589 nm (the D line of a sodium lamp) passing through 10 cm of a 1 g/mL solution of a sample. When a crystalline sample of α-D-glucose is dissolved in water, the specific rotation decreases from 112 degrees to an equilibrium value of 52.7 degrees. On the basis of...
If the coordinate direction angles for F3 are α = 120°,β = 60°, γ = 45°, determine the magnitude and coordinate direction angles of the resultant force acting on the eyebolt.
Suppose all the students in a class are asked to choose between
α and β simultaneously. If a student chooses “β” he/she immediately
gets B +. If the student chooses “α”, then his/her payoff depends
on the choices made by the other students. If at least 90% students
choose α, then all of those who chose α get A, otherwise they get
F. Find the nash equilibrium