## Mathematics

A company runs a business and owes 4 departments. They want to track daily the damages. The formula is:
(a-b)/(c+d+e+f)=0.0015
Variables:
a – damages unsellable
b – damages sellable
c,d,e,f – damages tracked from each department.
Question: Which are the constraints for a,b,c,d,e,f in order the daily damages to be

Sample Solution

## Mathematics

Mags the Meter Maid”
Mags has been working for the city for about 10 years driving her cart up and down the city streets searching out and ticketing parking offenders. She gets particularly irritated at college students, as they are known to run out to their cars between classes and erase the chalk marks from their tires. As a result, Mags wants to find a more efficient route to speed up the ticket writing process.
Create a dialogue between you, the expert on Euler and his theorems and Mags, the district meter maid. In your conversation, explain to Mags how to take this real life routing problem and turn it into a mathematical object. Talk to her about Euler circuits, Euler paths, eulerization and how they can make her route coverage more efficient. You can assume Mags knows nothing about the subject and will have a lot of questions. (Feel free to include her questions in your dialogue.)
write her an explanation, but be sure that the discussion post explains graph theory in terms of giving out parking tickets.

Sample Solution

## Mathematics

Managerial Report Prepare a managerial report that addresses the following issues and recommends an order quantity for the Weather Teddy product.

1. Use the sales forecaster’s prediction to describe a normal probability distribution that can be used to approximate the demand distribution. Sketch the distribution and show its mean and standard deviation.
2. Compute the probability of a stockout for the order quantities suggested by members of the management team.
3. Compute the projected profit for the order quantities suggested by the management team under three scenarios: worst case in which sales = 10,000 units, most likely case in which sales = 20,000 units, and best case in which sales = 30,000 units.
4. One of Specialty’s managers felt that the profit potential was so great that the order quantity should have a 70% chance of meeting demand and only a 30% chance of any stockouts. What quantity would be ordered under this policy, and what is the projected profit under the three sales scenarios?
5. Provide your own recommendation for an order quantity and note the associated profit projections. Provide a rationale for your recommendation.

In addition, provide a summary of the concepts presented in the chapter readings and discussion questions. Please ensure that you provide some real examples of these concepts being applied in the business-world today. Please use your textbook, LIRN-based research, and the Internet in completing this assignment.

Finally, examine any ethical issues that may arise when performing statistics.

Sample Solution

## Mathematics

One of the beauties of mathematics is that it is able to provide help in all sorts of different situations and to all sorts of people.

You have land that you would like to use to create two distinct fenced-in areas in the shape given below. You have 410 meters of fencing materials to use. What values of x and y would result in the maximum area that you can enclose?

Sample Solution

## Mathematics

Determine the value of each of the following limits (if they exist).
(8pt) Use the method of your choice, be sure to show all work. If you are using a theorem from your textbook,
then you must state it by name.
a. 𝑙𝑖𝑚
𝑥→∞
𝑥
2−3𝑥+2
3𝑥−8
b. 𝑙𝑖𝑚
𝑥→2
𝑥
2−3𝑥+2
2𝑥
2−8

Sample Solution

## Mathematics

Problem1 Example& Counterexample

a) Give an example of a set which is not closed but is a countable union of closed sets

b) Provide a counterexample for the following statement: For two uniformly continuous functions f and g onR, where f or g is not bounded, f *g is uniformly continuous.

Problem 2 The following statement is called the Contraction Mapping Theorem.

Let f be a function on R, and assume that there sxists a k belong to | f(x)-f(y)|<=k|x-y|,for all x,y belong to R: such an f is called a contraction mapping. Then f is continuous, and there exists a unique a belong to R such that f(a)=a i.e.a (unique) fixed point.

What follows now is the proof of the contraction mapping theorem. Each step has a conclusion, in bold, provide the argument for the conclusion.Step1-step6

Sample Solution

## Mathematics

1) Comment on A Nation at Risk which is discussed in chapter 7 of the text, Weapons of Math
Destruction.
2) From our text, Weapons of Math Destruction, choose one of the following WMD’s to discuss
in the following questions.
PredPol personality tests e-scores Insurance
(a) For the particular example you’ve considered describe who developed it and why (what was
the point?)
(b) Who and how does the WMD disparately impacts? (you should include a discussion of
what proxies it uses and how correlation features in here

Sample Solution

## Mathematics

Paper details:

1. Express each set using the roster method.
a. {x I x ? N and 10 = x = 80}
b. {x I x + 3= 9}

2. At Ice Cream World, 50 elementary school children ordered ice cream while on their field trip. Thirty-four students ordered sprinkles, 23 students ordered cherries on top, and 6 students receive ice cream with neither sprinkles nor cherries. Given this information, answer the following questions (Hint: Use a Venn Diagram)
a. How many students ordered both cherries and sprinkles?
b. How many students ordered cherries, but no sprinkles?

3. Indicate which symbol, ? or ? makes each of the following statements true when inserted into the blank:
a. 0 ______ Ø
b. {1} ______ {1, 2}
c. Ø ______Ø
d. {1, 2} ______ {1, 2}
e. 1024______ {2n|n ? N}