The Equation of motion for the standard mass-spring-damper system is
Mẍ + Bẋ + Kx = f(t).
Given the parameters {M = 2kg, B = 67.882 N-s/m, K = 400 N/m}, determine the free response of the system to initial conditions { x0 = -1m, v0 = 40 m/s}. To help verify the correctness of your answer, a plot of x(t) should go through the coordinates {t, x(t)} = {.015, -0.5141} and {t, x(t)} = 0.03, -0.2043}.
Numerically simulate the response of the system using the Matlab function ode45. Plot the displacement of the mass as a function of time for the first 0.5s. Use a time-resolution of 0.001s (have ode45 return values of x(t) at 1ms intervals). This plot should be a solid black line with a LineWidth of 3.
“Hold” the plot and superimpose the two points listed above (the two {t, x(t)} pairs). Use red circles to show those points. Make the circles’ Markersize of 10 and LineWidth of 3.
Determine the exact analytic (“hand”) solution to the problem. Use Matlab to calculate the values of that solution at 0.05s time steps. Superimpose that data on top of the numerical solution (and the two red circles) using blue diamonds with the same Markersize and LineWidth parameters as for the circles.
In: Mechanical Engineering
. Bath salts are typically composed of the ingredients listed below. Identify each item as being acidic, basic, or neutral when dissolved in water. If a particular ingredient does make an acidic or basic solution, describe how this occurs. Use the results of your in-lab observations, as well as your textbook and the provided Supplemental Information on pages 65-66, to support your conclusions.
|
NaCl |
NaHCO3 |
sodium citrate |
|
Na2SO4 |
MgHPO4 |
CaCl2 |
2. In Experiment SOL, you investigated the solubility of oxalic acid. Sodium oxalate, Na2C2O4, is the sodium salt of this acid. Categorize it as acidic, basic, or neutral in water. Does the salt dissolve, dissociate, or both in aqueous solutions? What about oxalic acid; does it dissolve, dissociate, or both in water? Explain.
In: Chemistry
You work as a currency trader at the Big Time Bank and specialise in trading the AUD USD. The current spot rate is USD AUD 0.678 and you have forecast a rate of USD AUD 0.6915 in 90 days. The borrowing and lending rates in Australia and the US are:
|
Currency |
Lending rate |
Borrowing rate |
|
US dollar |
2.3% |
2.5% |
|
Australian dollar |
1.4% |
1.8% |
You will speculate on the change in the exchange rate and you have the authority to borrow $10 million of either currency.
a) Which currency will you borrow and which will you invest in? Explain why. (1 mark)
b) What is your profit in AUD? Show all calculations in detail.
In: Finance
A certain golf club manufacturer advertises that its new driver (the club you use to hit golf balls off the tee) will increase the distance that golfers achieve relative to their current driver. We decide to test this claim by having 15 golfers hit a drive using the new driver, and then hit one using their current driver. Here are the data for 15 people, with yardages using both clubs:
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
|
|
New |
247 |
259 |
248 |
275 |
282 |
307 |
288 |
215 |
221 |
260 |
292 |
198 |
240 |
304 |
295 |
|
Current |
240 |
254 |
238 |
268 |
275 |
301 |
292 |
197 |
203 |
262 |
281 |
189 |
225 |
297 |
274 |
a) Show a side-by-side boxplot of the driving distances for the current and new drivers as well as the difference between new and current drivers (a total of three boxplots, side-by-side. Conduct a paired t-test to test whether the new driver produces longer drives, on average, when compared to the current driver using .05 as the probability of a Type 1 error. State your hypotheses, and be sure to check the conditions for your test. State the P-value of your test. (Use R studio - and show commands and output for using R.)
b) By using a 95% confidence interval, estimate the true difference in length produced by the new driver relative to the current one, and explain what this confidence interval means in context of this problem. (Use R studio - and show commands and output for using R.)
In: Statistics and Probability
300 words minimum with reference please
Forum Description Briefly explain how state and federal regulations affect MCOs. What is the role of the court when there is conflict between state and federal requirements for MCOs?
In: Operations Management
Questions:
1. Explain the significance, in terms of living organisms, of the statement: All organisms are made of cells.
2. Describe in detail ALL the differences in terms of (a) structure; (b) functions; (c) DNA; (d) plasma membrane and (e) and nucleus between prokaryotic and eukaryotic cells.
3. What are the differences and functions between (a) Ribosomes; (b) Endoplasmic Reticulum; and (c) Golgi Apparatus?
4. Describe the functions of Mitochondria and Chloroplasts?
5. What is the cytoskeleton and what is its function in cells?
6. Give a clear and detailed example of how mitochondria could produce energy for organ systems?
7. Considering some of the characteristics that define life and drawing on your knowledge of cellular structures and functions, write a short essay – 100 to 150 words – that discusses the following statement: Life is an emergent property that appears at the level of the cell.
In: Biology
The company wishes to store heavier boxes on this overhead shelf which means a reach above the shoulder would be in the danger zone for lifting.
A) How high does the platform (or a step stool) need to be for your worker to reach a box on a 180cm high shelf with hands at shoulder height as shown in the right figure? Explain. State any assumptions you make (e.g., does the worker wear safety shoes?).
B) Per OSHA 1926.1053, how many steps does your step stool need for your worker - including the step (platform) they stand on? Explain. State any assumptions you make.
C) For your worker do you recommend a platform or step stool for this task?
Do your calculations for an above average (84th %) male.
In: Civil Engineering
An economy has a Cobb-Douglas production function:
Y=K^α(LE)^1-α
The economy has a capital share of 1/3, a saving rate of 24 percent, a depreciation rate of 3 percent, a rate of population growth of 2 percent, and a rate of labor-augmenting technological change of 1 percent. It is in steady state.
A. At what rates do total output, output per worker, and output
per effective worker grow?
B. Solve for capital per effective worker, output per effective
worker, and the marginal product of capital. C. Does the economy
have more or less capital than the Golden Rule steady state?
Explain. To achieve the Golden Rule steady state, does the saving
rate need to increase or decrease?
D. Suppose the change in the saving rate you described in part C
occurs. During the transition to the Golden Rule steady state, will
the growth rate of output per worker be higher or lower than the
rate you derived in part A? After the economy reaches its new
steady state, will the growth rate of output per worker be higher
or lower than the rate you derived in part A. Explain your
answers.
In: Economics
ACCY 207
EXCEL ASSIGNMENT #2
Spring 2018
CHECK FIGURES: What If #1: NOI $630,000
Increase in NOI $180,000
REQUIREMENTS:
Use the data in the posted problem for this Excel assignment. For the Year Ended December 31, 2017 prepare a Contribution Income Statement for CedarWorks using the following format for your data block page:
|
CedarWorks |
|||||
|
For the Year Ended December 31, 2017 |
|||||
|
Operating results: |
Original |
What If #1 |
What If #2 |
What If #3 |
|
|
Unit selling price |
$3,000.00 |
$ |
$ |
$ |
|
|
Variable cost per unit |
$2,100.00 |
$ |
$ |
$ |
|
|
Contribution margin per unit |
$ 900.00 |
$ |
$ |
$ |
|
|
Annual fixed costs |
$900,000 |
$ |
$ |
$ |
|
|
Volume sold (in units) |
1,500 |
||||
|
Increase (decrease) |
|||||
|
Proposed changes: |
What If #1 |
What If #2 |
What If #3 |
||
|
Increase (Decrease) in Volume (in units) |
$ |
$ |
$ |
||
|
Increase (Decrease) in Unit Sales Price |
$ |
$ |
$ |
||
|
Increase (Decrease) in Variable Cost Per Unit |
$ |
$ |
$ |
||
|
Increase (Decrease) Fixed Cost |
$ |
$ |
$ |
||
|
Target Profit |
$ |
$ |
$ |
||
There are three What If problems in the data file. Input the changes in your excel file under the Proposed changes section of the file (see above). If it is a decrease to one of these items then show the decrease in parenthesis. If there is no new data (no change to that item) to type into the cell then just type in 0. Remember each change is independent of the others. You will use formulas in the Operating results area to adjust the original data for the changes under the Proposed changes area to calculate the new what if data. Make sure you are using formulas and cell references in your formulas between the two sections to calculate the new data.
See the next page for the Analysis format for your spreadsheet.
GENERAL INFORMATION:
There will be two spreadsheets in your workbook as follows: Data Block (above) and Contribution Income Statement format illustrated below:
|
Original Data |
What If #1 |
||||
|
Units |
Units |
||||
|
Last Year |
1,500 |
Proposed: |
? |
||
|
Total |
Per Unit |
Total |
Per Unit |
||
|
Sales |
$4,500,000 |
3,000.00 |
$ ? |
$ ? |
|
|
Less variable expenses |
3,150,000 |
2,100.00 |
? |
? |
|
|
Contribution margin |
1,350,000 |
900.00 |
? |
$ ? |
|
|
Less fixed expenses |
900,000 |
? |
|||
|
Net income |
$ 450,000 |
$ ? |
|||
|
Contribution Margin Ratio |
30% |
? 0% |
|||
|
Breakeven point in Dollars |
$3,000,000 |
$ ? |
|||
|
Breakeven Point in Units |
1,000 |
? |
|||
|
Margin of Safety |
$ 1,500,000 |
$ ? |
|||
|
Operating Leverage |
3.0 |
? 0.0 |
|||
|
Increase (Decrease) in NOI after proposed changes: |
$ ? |
||||
All amounts must be either cell referenced from the data block page or supported by formulas! This includes the amounts in the Original Data columns.
Add additional columns next to What If #1 for What If #2, and What If #3 using the same format above as for What If #1. Separate each column in some manner so it is easy to read. You don’t have to use highlighting, but could use borders instead or some other way based on your preferences. Just be sure it is professional and easy to read.
You will need to use formulas to calculate Contribution Margin Ratio, Breakeven Points, Margin of Safety, and Operating Leverage. You must use a Data Block area and cell reference the appropriate data from the Data Block page to the income statement and/or use formulas. You should cell reference last year’s per unit data also and use this information to calculate the original total column. It should not just be typed into the Contribution Income Statement directly. Don’t forget to show dollar signs and percentages as per the format above. Add a heading to the Contribution Income Statement. Your heading should have the company name, the name of the statement, and the time period it covers (For the Year Ended December 31, 2017). You should use cell references from your data block page for all proposed changes in the “What If Analysis” section. Do not type in changes directly to the Contribution Income Statement.
Save your work frequently! Do not be the next person telling horror stories about lost work! Back up your work.
SAVING YOUR FILE:
Save your file according to the following name format:
Original data file: (Your Last Name, First Name Initial) Excel#2.
For Example: SmithJExcel2.xls or SmithJExcel2.xlsx (depending on which version of Microsoft you are using).
SUBMISSION OF YOUR EXCEL ASSIGNMENT:
Put a footer on each page in the bottom right-hand corner which includes your name and ZID#.
Before submitting your Excel assignment, check the Print Preview to make sure your Income Statement is centered (horizontally) in the page and you have included the footer.
You will submit your file to Bb. Your file should contain the following items:
1. Data Block
2. Contribution Margin Income Statement
Please be sure what you turn in is a unique product. You may work together, but you must each do your own spreadsheet. Do NOT turn in duplicate spreadsheets. We will assume you cheated and you both (or all) will get a zero for the assignment.
DO NOT WAIT TO THE LAST MINUTE TO START THIS PROJECT!
Excel #2
Problem and Data
CedarWorks manufactures playground equipment from Northern White Cedar wood which is free of all chemical additives and never splinters. The current manufacturing process is heavily labor intensive, so the company is studying ways to improve profits given that it currently has a significant amount of unused capacity. CedarWorks contribution margin income statement for the month of December 31, 2017 is given below:
Total Per Unit
Sales $4,500,000 $3,000
Variable expenses 3,150,000
Contribution margin 1,350,000
Fixed expenses 900,000
Net operating income $ 450,000
What If #1:
1. The company is studying the effect on its financial statements of purchasing some new equipment which would allow it to automate a large portion of its operations. Since direct labor costs will decline, variable costs would decrease by $900.00 per unit. However, total fixed costs would increase by $2,250,000. The volume of sales is expected to increase by 600 units if the new equipment is purchased. If the company operates in an industry that is sensitive to changes in the economy, do you think CedarWorks should purchase the new equipment. Explain.
What If #2:
2. As an alternative, rather than purchasing the new equipment, the president is thinking about changing the company’s marketing method. Under the new method, the president is proposing that CedarWorks pay its sales people a 5% commission on sales and decrease the monthly fixed salary by $420,000. Paying the sales force commissions is also expected to increase sales volume by 20% (or 300 units) each month. Do you agree with the president’s proposal? Explain.
What If #3:
3. Management is currently in contract negotiations with the labor union. If the negotiations fail and the company does not buy the equipment (part 1) or change the company’s marking method (part 2), direct labor costs will increase by 10% (or $90 per unit) and fixed costs will increase by $25,000 per month. If these costs increase, how many units will the company have to sell to earn a profit of $1,000,000.
In: Accounting
This assignment will require you to do outside research. Research a company that you feel provided the best benefits - do NOT use GOOGLE as your example as we have talked about this in class already. This is similar to your last project. In your 1-2 page double spaced paper identify the company and explain in your own words the benefits they provide. In your opinion why are these benefits important to the employee, company, and its customers? Do you feel that all companies should provide the same type of benefits? Why or why not? Do you think that companies should only provide the government mandated benefits? Why or why not? Do you think benefits have increase, decreased or stayed the same over the past 20 years? Explain your answer.
In: Operations Management