Answer:
Answer is 12.64%. Therefore,
Treasury bills are paying a 4% rate of return. A risk-averse investor with a risk aversion of A = 3 should invest entirely in a risky portfolio with a standard deviation of 24% only if the risky portfolio's expected return is at least 12.64%.
Refer below for the explanation.
Explanation:
E - 4%= 0.5(3)(24%)2
E=12.64%
Piecemeal describes something that's made or done in a series of steps. As an adverb, piecemeal means either “step by step” or “in pieces.” And Time rates are used when employees are paid for the amount of time they spend at work. The usual form of time rate is the weekly wage or monthly salary.
Answer:
The dimensions are 1 m × 1 m × 5 m
Explanation:
Let the dimension be x, y, z
Volume = xyz = 5 m³ ................(1)
According to question:
Cost function, C = 110(xy) + 30(xy) + 14(2xz+2yz)
or
C = 140xy + 28xz + 28yz ..........(2)
We need to maximise (2)
Given condition (1)
Using the concept of lagranges multipliers
...........(3)
![\\\frac{\partial (xyz)}{\partial y}=\lambda \frac{\partial }{\partial y}140xy+28xz+28yz](https://tex.z-dn.net/?f=%5C%5C%5Cfrac%7B%5Cpartial%20%28xyz%29%7D%7B%5Cpartial%20y%7D%3D%5Clambda%20%5Cfrac%7B%5Cpartial%20%7D%7B%5Cpartial%20y%7D140xy%2B28xz%2B28yz)
...........(4)
![\frac{\partial (xyz)}{\partial z}=\lambda \frac{\partial }{\partial z}140xy+28xz+28yz](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20%28xyz%29%7D%7B%5Cpartial%20z%7D%3D%5Clambda%20%5Cfrac%7B%5Cpartial%20%7D%7B%5Cpartial%20z%7D140xy%2B28xz%2B28yz)
...........(5)
From (3) and (4) and(5)
140xy + 28xz = 140xy + 28yz = 28xz + 28yz
thus,
140xy + 28xz = 140xy + 28yz
or
28xz = 28 yz
or
x = y ............(a)
140xy + 28yz = 28xz + 28yz
substituting x from (a)
140(y)y + 28yz = 28(y)z + 28yz
or
140y² = 28yz
or
5y = z
and,
volume = 5 m³
or
xyz = 5 m³
or
x(x)(5y) = 5 m³
or
x²(5x) = 5 m³
or
5x³ = 5 m³
or
x = 1 m
Hence,
y = x = 1 m
and,
z = 5y = 5(1) = 5 m
Therefore,
The dimensions are 1 m × 1 m × 5 m
Answer: Joint venture.
Explanation:
In a country that doesn't allow foreign companies to own businesses in them, a joint venture can be created between the foreign company and the local companies in order for the foreign company to have a presence in that country. A joint venture is a form of business formation that involves two or more seperate businesses coming together to form a business establishment, while each business maintains their individual identities.
The answer would be b.FTC