Shania Lewis
Period 6B
September 4, 2012
Problem of the Week: The Broken Eggs

Problem Statement: A farmer is carrying her eggs in a cart when she accidentally spills every one of them and they all break. She decides to go to her insurance agent, who asks her how many eggs she had. She’s not sure but she does know some information from various ways she tried to pack her eggs. She knows that when she put her eggs in groups of one, two, three, four, five, and six, there was always one egg left over. When she put them in groups of seven, there were no eggs left over. The task is to use this information to find out how many eggs the farmer had,

Process: In the process of attempting to solve this problem, I first figured out that I would have to find a number that leaves a remainder of 1 when divided by 2, 3, 4, 5, and 6 but is evenly divisible by 7. I noticed I only need to look at numbers that were a multiple of 7. 7/2= 3.1 7/3=2.1 7/4=1.3 7/5=1.2 7/6=1.1

When I divided all the numbers by 7 I saw that 2, 3, and 6 all leave a remainder of 1, but not 4 and 5. 14/2=7 14/3=4.2 14/4=3.2 14/5=2.4 14/6=2.2
I tried this again with the number 14 since it was a multiple of 7, but then I realized this would be too long of a process to do this with a different number over and over again. I thought about what I was doing and I knew that an even number wouldn’t work because they are divisible by 2. I realized that the number has to be an odd number and end with 1. I started to only look at numbers that ended with 1. 91 161 231

91 didn’t because 4 didn’t have a remainder of 1. 161 didn’t work because 2 didn’t have a remainder of 1. 231 didn’t work because 2 didn’t have a remainder of 1. Then I got to 301, and 2, 3, 4, 5, and 6 all had a remainder of 1 when I divided them.

Solution: My solution to this problem is the farmer had 301 eggs. This solution is correct because 301 is a multiple of 7, and which it is divided by 2, 3, 4, 5, and 6 it leaves a remainder of 1. I...

...Problem Statement
This weeks P.O.W. was named, "The Hay Baler Problem", it was about a hay baler who had just finished weighing five bales of hay. Unfortunately, he weighed the bales was in combinations of two. He weighed bale 1 with 2, 1 with 3, 1 with 4, and every other two-baled combination. In the end, he came up with a set of 10 different weights. However, he did not remember which order he weighed the bales and was now supposed to determine the weight of each individual bale, not the bale combinations. Using the final weights (in kilograms) he came up with from all the bale combinations: 80, 82, 83, 84, 85, 86, 87, 88, 90 and 91, it is your job to figure out the final weight of each of the five individual bales of hay. Also, you may want to find out if there is possibly more than one set of weights for this problem, and how you know this.
Process
When I first had to work on this problem, I was confused and asked Mr. Schenck for help (He was my old math teacher) because I did not really get it. He didn't understand it either so I gave him the problem so he could think about it over night. I decided to try it again later on over night also. The next day I went to see Mr. Schenck and we first started by trying to solve for the lowest weight 80. We decided we would just try and start adding up two numbers and see if the weights would all work out. We figured that since 80 divided by 2...

...depreciated straight-line over the five-year period and profits will be taxed at 25%. Assume all cash flows occur at the end of each year except where otherwise stated. What is the NPV of the project plant?
22. We can use the following spreadsheet to calculate a NPV of 6.352 billion RMB for the Ambassador China project. This calculation uses the following assumptions:
1. Calculations are done on a nominal basis, converting the salvage value estimate from a real to a nominal value (638 = 500(1.05)5) using the 5% inflation estimate; salvage = book value so no taxes are incurred on salvage.
2. Depreciation is calculated at [4,000 – 638 (salvage) ]/ 5 = 672.4 per year.
3. Cars sales occur in year 1 (there is some ambiguity here as the problem states it takes a year for the plant to become operational but also that sales will occur in the first year).
4. The tax shield in year 0 can be used to offset profits from other operations.
5. No working capital costs (this is unrealistic, but no figures are given).
RMB (figures in millions)
YEAR
0
1
2
3
4
5
Capital Investment
4,000
-638
Accumulated Depreciation
672
1,345
2,017
2,689
3,362
Year-End Book Value
4,000
3,328
2,655
1,983
1,311
638
Unit Sales
0.10
0.10
0.10
0.10
0.10
Price / Unit (growing 4%)
65,000
67,600
70,304
73,116
76,041
Raw Material Cost / Unit (growing 3%)
18,000
18,540
19,096
19,669
20,259
...

...Week 7 Problems—30 points
10 points each. Place answers in the following table:
1. 20.16%; 28.4%; 14.83%
2. 0.3889; 2.571; 0.1512
3. 7.68; 1.44; 9.12
A cohort study is conducted to assess the association between clinical characteristics and the risk of stroke. The study involves n=1,250 participants who are free of stroke at the study start. Each participant is assessed at study start (baseline) and every year thereafter for five years. The following table displays data on hypertension status measured at baseline and hypertension status measured two years later.
2 Years: Not Hypertensive 2 Years: Hypertensive
Baseline: Not Hypertensive 850 148
Baseline: Hypertensive 45 207
Compute the prevalence of hypertension at baseline.
Prevalence = __20.16%______
Compute the prevalence of hypertension at 2 years.
Prevalence = ___28.4%_____
Compute the cumulative incidence of hypertension over 2 years.
Incidence = ___14.83%_____
A case-control study is conducted to assess the relationship between heavy alcohol use during the first trimester of pregnancy and miscarriage. Fifty women who suffered miscarriage are enrolled along with 50 who delivered full term. Each participant’s use of alcohol during pregnancy is ascertained. Heavy drinking is defined as 4 or more drinks on one occasion. The data are shown below.
Miscarriage Delivered Full Term
Heavy Alcohol Use 14 4
No Heavy Alcohol Use 36 46...

...Week 4 – Check Your Understanding:
Chapter 7 Exercise 1, 6, 8, and 9
1. In the Deep Creek Mining Company example described in this chapter (Table 7.1), suppose again that labor is the variable input and capital is the fixed input. Specifically, assume that the firm owns a piece of equipment having a 500-bhp rating.
a. Complete the following table:
|LABOR INPUT L (NO. OF WORKERS)|TOTAL PRODUCT TPL (=|MARGINAL PRODUCT MPL |AVAERAGE PRODUCT APL |
| |Q) | | |
|1 | | | |
|2 | | | |
|3 | | | |
|4 | | | |
|5 | | | |
|6 | | | |
|7 | | | |
|8 | | | |
|9 | | | |
|10...

...Practice Problems
Ch. 7, Practice Problem: 14
Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as they wished. After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and 25.
Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?) (a) Use the steps of hypothesis testing. (b) Sketch the distributions involved, (c) Explain your answer to someone who has never taken a course in statistics.
Answer
Null hypothesis H0: = 24 hours Alternative hypothesis: H1: ≠ 24 hours
Df = 7 Critical t value = ±2.36 Sample Mean = 25
Standard deviation = 1.195 The test statistic used is
P-value = 0.049867231
Since calculated p-value 0.049867231 is slightly less than 0.05(significance level) therefore we reject the null hypothesis.
Because there is enough evidence to support the...

...Week 3 individual assignment
Comprehensive problem 67
Ken is 63 years old and unmarried. He retired at age 55 when he sold his business, understock.com. Though Ken is retired, he is still very active. Ken reported the following financial information this year. Assume Ken’s modified adjusted gross income for purposes of the bond interest exclusion and for determining the taxability of his Social Security benefits is $70,000 and that Ken files as a single taxpayer. Determine Ken’s 2009 gross income.
a. Ken won $1,200 in an illegal game of poker (the game was played in Utah, where gambling is illegal).
b. Ken sold 1,000 shares of stock for $32 a share. He inherited the stock two years ago. His tax basis (or investment) in the stock was $31 per share.
c. Ken received $25,000 from an annuity he purchased eight years ago. He purchased the annuity, to be paid annually for 20 years, for $210,000.
d. Ken received $13,000 in Social Security benefits for the year.
e. Ken resided in Ireland from July 1, 2008, through June 30, 2009, visiting relatives. While he was there he earned $35,000 working in his cousin’s pub. He was paid $17,000 for his services in 2008 and $18,000 for his services in 2009. Assume Ken elects to use the foreign-earned income exclusion to the extent he is eligible.
f. Ken decided to go back to school to learn about European history. He received a $500 cash scholarship to attend. He used $300 to pay for his books...

...Business system anaylsis
Problems and Exercises
Week 5 Homework
Tom Sanders
DeVry University
Professor Girten
September 30, 2014
Problems and Exercises
Chapter 8
Question 3 - Imagine the worst possible reports from a system. What is wrong with them? List as many problems as you can. What are the consequences of such reports? What could go wrong as a result? How does the prototyping process help guard against eachproblem?
The incorrect data entered, or the software error of the system can cause the wrong result.
The problems can be
1. Wrong entry of data.
2. Inefficient Users to the system.
3. Software Error
The consequences are:
1. Wrong outputs.
2. Wrong decisions made.
3. Loss to the Company.
The whole process of the Company can go wrong as every repot generally are interconnected with each other. So if the output of any one is wrong the other reports may also show wrong results.
The prototyping process is where there is a systematic way of doing things. We have 4 phases in prototyping process Planning, specification, Design and Result. If all these are followed in a
Question 4 - Given the guidelines presented in this chapter, identify flaws in the design of the Report of Employees shown below. What assumptions about users and tasks did you make in order to assess this design? Redesign this report to correct these flaws.
The flaws in this design do not have clear and specific...

...C: 2-8 What items are considered to be property for purposes of Sec. 351(a)? What items are not considered to be property?
Items that are considered property include all types of property, such as cash, accounts receivable, inventories, patents, installment obligations, equipment, and buildings. Services, certain debt of the corporation, and certain accrued interest on debt are not treated as property.
C: 2-43 Liabilities in Excess of Basis.
Barbara transfers $10,000 cash and machinery having a $15,000 basis and a $35,000 FMV to Moore Corporation in exchange for 50 shares of Moore stock. The machinery was used in Barbara’s business, originally cost Barbara $50,000, and is subject to a $28,000 liability, which Moore assumes. Sam exchanges $17,000 cash for the remaining 50 shares of Moore stock.
a. What are the amounts and character of Barbara’s recognized gain or loss?
According to section 351, the exchange is tax-free and no gain or loss can be recognized. Also, any property transferred to a corporation in exchange for stock cannot be recognized.
b. What is Barbara’s basis in the Moore stock?
($13,000)
c. What is Moore’s basis in the machinery?
$7,000
d. What are the amounts and character of Sam’s recognized gain or loss?
Sam recognizes a gain of $17,000 as this is now the Fair Market Value of his shares in Moore stock.
e. What is Sam’s basis in the Moore stock?
$17,000
f. When do Barbara and Sam’s holding periods for their stock begin?
The holding period...

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