Questions
Let y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´...
Let y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´ (t) + q (t) y (t) = 0 (*)
If the Wronskian of two solutions of (*) equals three.
(a) ffind p(t) and q(t)
(b) Solve y´´ (t) + p (t) y´ (t) + q (t) y (t) = 1 + t
In: Advanced Math
Consider the following linear programming problem Maximize $1 X1 + $2 X2 Subject To 2 X1...
Consider the following linear programming problem
| Maximize | $1 X1 + $2 X2 | |
| Subject To | 2 X1 + X2 ≤ 8 |
Constraint A |
| X1 + X2 ≤ 5 |
Constraint B |
|
|
X1, X2 ≥ 0 |
Constraint C |
Note: Report two digits after the decimal point. Do NOT use thousands-separators (,)
1 - Which of the following is the correct standard maximization form for the above linear programming problem
|
AnswerCorrectNot Correct |
AnswerCorrectNot Correct |
AnswerCorrectNot Correct |
AnswerCorrectNot Correct |
|
Z -X1 - 2 X2 = 0 2 X1 + X2 ≤ 8 X1 + X2 ≤ 5 X1, X2 ≥ 0 |
Z - X1 - 2 X2 - 0 S1 - 0 S2 = 0 2 X1 + X2 + S1 + 0 S2 = 8 X1 + X2 + 0 S1 + S2 = 5 X1, X2, S1, S2 ≥ 0 |
Z - X1 - 2 X2 = 0 2 X1 + X2 + S1 = 8 X1 + X2 + S2 = 5 X1, X2, S1, S2 ≥ 0 |
Z - X1 - 2 X2 - S1 - S2 = 0 2 X1 + X2 = 8 X1 + X2 = 5 X1, X2, S1, S2 ≥ 0 |
2- Fill out the following blanks with Final Simplex Tableau information
|
Basic Variables |
X1 |
X2 |
S1 |
S2 |
Z |
Right Hand Side |
|
AnswerX1X2S1S2 |
Answer |
Answer |
Answer |
Answer |
Answer |
Answer |
|
AnswerX1X2S1S2 |
Answer |
Answer |
Answer |
Answer |
Answer |
Answer |
|
P |
Answer |
Answer |
Answer |
Answer |
Answer |
Answer |
3- The optimal is
Z = Answer
When
X1 = Answer
X2 = Answer
In: Advanced Math
Combined, there are 207 Asians, Africans, Europeans, and Americans in a village. The number of Asians...
Combined, there are 207 Asians, Africans, Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 65. The difference between the number of Europeans and Americans is 16. If the number of Africans is doubled, their population exceeds the number of Europeans and Americans by 24. Determine the number of Asians, Africans, Europeans, and Americans in this village
In: Advanced Math
What is the central ethical conflict in this case? How would you have responded to the conflict in question? What complications or "gray areas" do you identify?
Question: What is the central ethical conflict in this case? How would you have responded to the conflict in question? What complications or "gray areas" do you identify?
Focus on Ethics CISCO SYSTEMS, WALMART, TACO BELL, STARBUCKS, U-HAUL, GENERAL DYNAMICS, AND FARMERS INSURANCE: IS DIRECT LABOR A VARIABLE COST? The question as to whether direct labor is a variable cost is interesting from a cost estimation perspective, but it also presents an interesting ethical issue. Direct material is always a variable cost. At the other extreme, depreciation on fixed facilities and infrastructure typically is not. What about direct labor? Here it depends on the ability and willingness of management to adjust the labor force to current needs. If management is able and willing to hire workers as needed and lay them off when activity declines, direct labor would be a variable cost. The contemporary trend at many companies seems to be in this direction. "Companies are looking first to bring in contract workers that they can quickly tap and zap without paying any benefits or severance." In fact, the temps have recently been the fastest-growing sector of employment. "And they aren't accounted for as regular employees. This helps companies that use a lot of them, like Cisco Systems Inc., to drive up revenue per employee." "The growing use of the just-in-time workforce is not the only means by which companies are priming the productivity pump. Workers complain that many employers are taking advantage of outdated labor laws by misclassifying them as salaried-exempt so they can skirt overtime pay. Walmart, Taco Bell, Starbucks, and U-Haul, among others, have been slapped with class actions. In the case of General Dynamics Corp., this resulted in a $100 million award that is now on appeal. At Farmers Insurance, employees got $90 million. Some employers are so worried about the issue that they are now doing wage-and-hour audits." Is it ethical to "tap and zap" employees? What do you think? (For more on this issue, see Management Accounting Prac tice: Is Direct Labora Variable or a Fixed Cost?, page 240.) Related to this issue is the ongoing debate about raising the U.S. federal minimum wage. Some have suggested that $15 per hour is an appropriate level, citing the need for a "living wage." Others argue that raising the minimum wage could actually be detrimental to those it strives to help.
In: Advanced Math
A bond will pay a coupon of $100 at the end of each of the next...
A bond will pay a coupon of $100 at the end of each of the next 3 years and will pay the $1,000 face value at the end of the 3-year period.
What is the bond's (Macaulay) duration when valued using an annual effective interest rate of 20%?
In: Advanced Math
Imagine a gas of N spherical particles that are free to distribute throughout either a large volume or a small one.
Imagine a gas of N spherical particles that are free to distribute throughout either a large volume or a small one. Why does the gas spread out into a large volume? The tendency to spread out is pressure and can be explained in terms of multiplicity or increased probability. To illustrate this, let's create a simpler model that we can visualize, solve exactly, and will illustrate the essence of the problem without the mathematical complexity. For each of the following, calculate the number of distinguishable arrangements of the vacancies and occupancies of the Nparticles in the M sites.
Consider N=3 spherical particles spread out inM=5 equal size boxes that are arranged in a line. The boxes are just big enough to hold at most one particle.
Now consider N=3 spherical particles spread out in M=4 boxes arranged in a line.
Finally consider N=3 particles spread in onlyM=3 boxes.
Based on these results why does a gas spread out into a larger volume?
In: Advanced Math
What does it mean for a relation is a partial order relation?
What does it mean for a relation is a partial order relation?
In: Advanced Math
Consider the following information regarding the operations of Owen Glass Company's South division for last year:...
- Consider the following information regarding the operations of Owen Glass Company's South division for last year:
|
Sales |
$ |
7,000,000 |
||
|
Cost of goods sold |
3,200,000 |
|||
|
Allocated corporate overhead |
250,000 |
|||
|
Administrative costs |
820,000 |
|||
|
General costs |
500,000 |
|||
|
Tax rate |
45 |
% |
||
What is the division's gross margin percentage?
In: Advanced Math
As a student of corporate governance what does it mean when we say that corporate governance...
In: Advanced Math
For each of the following differential equations, find the particular solution that satisfies the additional given...
For each of the following differential equations, find the particular solution that satisfies the additional given property (called an initial condition).
y'y = x + 1
In: Advanced Math
An undamped spring - mass system with mass m = 2 and a spring constant k = 8 is suddenly set in motion at time t = 0 by an external force f = 5 cos 3t . Determine the position of the mass as a function of time and draw the graph .
An undamped spring - mass system with mass m = 2 and a spring constant k = 8 is suddenly set in motion at time t = 0 by an external force f = 5 cos 3t . Determine the position of the mass as a function of time and draw the graph .
In: Advanced Math
A random number generator produces a sequence of 18 digits (0, 1, ..., 9). What is...
A random number generator produces a sequence of 18 digits (0,
1, ..., 9). What is the probability that the sequence contains at
least one 3? (Hint: Consider the probability that it contains no
3's. Round your answer to four decimal places.)
In: Advanced Math
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
In: Advanced Math
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+2y'+y=2e^t
In: Advanced Math
Represent with the language of First Order Predicate Logic the following proposition: "If S is an...
Represent with the language of First Order Predicate Logic the following proposition:
"If S is an arbitrary set of objects for which there is an associative binary operation * (function) with the following two properties: (1) for every pair of objects 'a' and 'b' from S there exists and object 'c' such that a * b = c (left solution property), then there exists in S an object 'e' such that e * x = x for all x in S (S has a left identity).
In: Advanced Math