MATH102-1404A-22 Introduction to College Math

MATH102-1404A-22 Introduction to College Math

Task Name:

Phase 2 Discussion Board

Deliverable Length:

2 parts: See assignment details

Details:

Primary Discussion Response is due by Wednesday (11:59:59pm Central), Peer Responses are due by Sunday (11:59:59pm Central).

Part I: Discussing Percents/Decimals/Fractions and Conversions

Task Background: There are different ways of representing the same value of a number. For instance, 0.5 (a decimal) is equivalent to 50% (a percentage) and to 1/2 (a fraction). Conversions such as these are needed in many applicable areas, such as interest on a loan, calculating savings on discounts, measuring an amount of medicine administered to a patient, and buying a certain amount of carpet.

Primary Task Response: Within the Discussion Board area, write 3–4 paragraphs that respond to the following questions with your thoughts, ideas, and comments. This will be the foundation for future discussions by your classmates. Be substantive and clear, and use examples to reinforce your ideas.

 

Task Assignment: There are specific procedures to convert a value from a decimal to a percentage (and vice versa), from a fraction to a percentage (and vice versa), and from a decimal to a fraction (and vice versa). Below, you will find four problems in the following areas: Criminal Justice, Business, Medical, and Real Life. Please select any TWO for completion of the task. You must show all steps and every single calculation. Thoroughly explain how and why you did each calculation with complete sentences. Include discussion relating the problem to your own personal experiences or to the real world.

Criminal Justice

There are many important formulas that are used in the field of criminal justice. For example, the Widmark formula is used to calculate the blood alcohol concentration (BAC) at a particular time for an individual. Widmark’s research found that the average man’s body can hold alcohol in even distribution in 73% of its weight. In other words, 73% of a 150-pound man’s body holds all the alcohol he consumes, in even distribution. 73% of 150 pounds = 0.73 × 150 = 109.5 pounds. Widmark found that the average woman’s body can hold alcohol in even distribution in 66% of its weight. 

1.     Convert 66% to a decimal and then to a reduced fraction.

2.     Give an example of a particular weight for a woman, and find the average portion of the body that holds the alcohol. 

Business

Many interest rates, such as those on car loans, credit cards, and home loans, are given as a percent. If you need to make any calculations with the percent interest rate, however, you must convert the percent to a decimal. 

1.     Research and find the interest rate, as a percent, for a particular credit card.

2.     Convert the interest rate percent to a decimal and then to a reduced fraction.

3.     You want to compare your researched rate to another credit card’s interest rate of 12 1/5%.

o    Convert this interest rate percent to a decimal.

o    Compare the 12 1/5% to your researched interest rate, and explain which interest rate is better. 

Medical

It is important that physicians know how long a medicine will stay in a patient’s body in order to prescribe dosing instructions so that the patient does not overdose. For example, a patient takes a pill that has a dosage of 50 mg. (milligrams) and wakes up the next day with a particular percentage of the medication washed out. 

1.     Demonstrate your knowledge of conversions by first choosing a percentage of the medicine that is washed out the next day, and then convert this percentage to a decimal and then to a reduced fraction.

2.     How much medication remains in the body after the percentage amount of your choosing is washed out? 

Real Life

When buying mulch for your lawn, you find that it is ordered in square yards. You have the area measurements of your lawn in square feet, which you found by multiplying the length of your yard (in feet) times the width (in feet). 

1.     Demonstrate with an example by first giving the length and width of a yard in feet. Since lawns may not have exact whole-number length and width measurements, you must provide an example where the length or the width contains a fractional amount.

2.     Find the area of the yard in square feet.

3.     Convert the amount of square feet to square yards so that you can order the mulch. (Hint: Research how many square feet equals one square yard.) 

Part II: Responses to Other Students: Respond to at least 2 of your fellow classmates with at least a 1-paragraph reply about their Primary Task Response regarding items you found to be compelling and enlightening. To help you with your discussion, please consider the following questions: 

·         What did you learn from your classmate’s posting?

·         What additional questions do you have after reading the posting?

·         What clarification do you need regarding the posting?  

For assistance with your assignment, please use your text, Web resources, and all course materials.

Course Materials

Naveen Kumar Nagulapalli paper

 

AgCredit Case Study

 

Student Name

College Affiliation

Date of submission

 

 

 

 


 

AgCredit case study

Synopsis

This is a case study that focuses on an agricultural credit and loan company that has its core competency anchored in vast knowledge of its customers. However, the IT structure does not suit the company’s business model as required. The current infrastructure is not pure enterprise architecture and there are rampant issues about the staff. A lot of preparatory work had been done and the situational analysis developed where a new team was chosen to chart a proper course of action to better the IT structure. With all the information gathered by the team, the next task now is to inform and convince the organization’s leadership of the drafted changes so that they can be brought on board for discussion and implementation. To enhance more effectiveness in the IT department, there is need to regularly communicate the company’s goals as well as the future plans that involve the business operations (Smith & McKeen, 2008).

Overview of strategy for case evaluation

The report looks at a “horizontal” slice of several interrelated issues in the enterprise. Mixing all the details provided for the case with the general concerns into a cogent and relevant analysis was the main aim and it involved various methods.

i.                    Setting the context

In this analysis, I role-played various possible structures and looked for those relationships that are effective to allow formulation of and organizational structure. The case has many good starting points to lend and I carried some other ideas forward focusing on the future.

ii.                  Major priorities and initiatives of AGCredit

After establishing a clear strategy an getting an idea of how the structure of the organization would look like, I applied knowledge from the related cases and some best practices mentioned in the class textbook to suggest a likely prioritization process for the organization’s project selection. After further developing the scenarios for SOA’s new model to test, I looked at the likely outcomes as well as the significant advantages. These recommendations were used to answer the discussion question four.

iii.                Looking back

More ideas on governance and capabilities also came from readings, lecturers and even previous case work done. Although the case has very different specifics in a sense that the equipment’s standardization is not common among the cases hence the cases need an improved IT-business partnerships and oversight as well. On the other hand, looking forward for the elements that make the cases similar and different gave a very unique and distinguishing perspective to each case.

Discussion questions

The following are responses to the discussion questions in the textbook;

Propose an organizational structure for the IT department that you feel would support the transformation of AgCredit into a process-centric organization 

Recognition of the company’s business ownership is very important for the organizational structure. It will be instrumental to have the business sign on and also join the conversation the Information Technology and the related projects (Smith & McKeen, 2008). A steering committee needs to be created so that it can be part of the approval process for the company’s projects. This committee is also vital to ensure all the projects take an enterprise view. It is the same multidivisional committee that will also ensure that the projects undertaken fit the SOA framework.

The chief information officer should also be involved in the boardroom and be allowed to access the senior management including the chief executive officer. The CIO should hire the top management individuals that can actually convey the business and departmental objects so that they help guide the IT employees (Boudreau, Serrano, & Larson, 2014). Each LOB’s account manager that belongs to the business but reporting to the top IT management should also be installed. All IT employees need to be reassessed so that the company ensures all the workers do the right roles they deserve.

There is also need to bring the IT functionality in alignment to the enterprise’s vision and mission. One of the options to achieve this is to try and internally promote for the vacant positions in IT and also insource that positions that cannot be filled by the current employees. Insourcing is convenient as it will have a significant benefit of training the IT personnel at the same time getting the job well done.  Outsourcing for IT functions that are not among the core competencies can also be undertaken if the enterprise management desires.

Outline a project selection process for AgCredit to ensure alignment with the enterprise business vision

As discussed in the previous question, a multidimensional steering committee to represent several LOBs needs to be established and also given the capabilities to make decisions (Smith & McKeen, 2008). The process should kick off by establishing the connection between the project’s objectives and the vision of the company. Next step should be for the committee to outline the effects of the project on their division and how it can be used to meet the departmental needs of the enterprise if possible. In addition, it needs to ensure that if fits within the SOA and that it is not duplicates by the current processes or other software application nodes. It the project is just an add-on or an enhancement to another existing project, early communication with the end user should be done so that they can be aware of the enhancement and the benefits. 

The projects should also be checked for modularization as well as standardization for the business process. The process of ensuring the project is standardized is very vital in the establishment of a proper architecture for the enterprise that is aligned with its vision (Yoo, Boland, & Lyytinen, 2006). In addition, all the projects should be made sure that they are considered and funded through a certain percentage of the tax upon the LOBs so that it supports the SOA.

How should Manley “make the case” for SOA to ensure that the executive team at AgCredit buys in?

Manley will have to present the major strengths of SOA and ensure that they focus on how it aligns and supports the vision of the company.

          Current products and services will be available to customers or modified for usability

          The transition will also simplify the needs of the organization and speed up the implementation process for the products.

          It supports all the web services that ensure the company expands its relationship with customers, allow continuous growth opportunities and also has ability to sell across all the divisions.

          It will also offer numerous opportunities for all the divisions both in terms of stretching the development dollars and possible financial gains.

          Current services can be acquired and be implemented as fast as possible within the SOA. This ensures that the company increases its capabilities and that it stays caught up with other large companies. In essence, this is a good way to level the playing field by providing valuable systems and resources.

          After centralizing the customer information which is essential to the SOA, the saving has to be realized from the reducing database.

          Creating the processes in such a way that they are common will also help align the whole business and ensure the company gets value from the decreased uncertainty and increased communication.

          Having this kind of technology base may steer up positive changes in the way the employees work for example working from home or any other place through a virtual private network.

What new internal IT capabilities will have to be developed in order to create an IT department to support AgCredit’s future business architecture? 

The new capabilities that are needed to support the SOA from the IT perspective include the, Information delivery options, information management tools, management tools, development cycles, and a customer service attitude toward the divisions. Clear role clarification will be of significant importance in setting up these capabilities. Management tools include visioning and business alignment processes, funding methods, measurement metrics and focus, and monitoring methods. Information management tools include collection activities, organize process including schemes and taxonomy, process modules to use the information, and maintenance procedures that support business functions. Development cycles must conform to SOA standards and guidelines, using compliant hardware and software to make systems that breakdown the functionality, and complaint with regulatory needs, including system proficiency in creating reports for audit purposes. The customer service attitude will be needed to manage perceptions and keep close ties with the business.

What aspects of IT governance do you think would be important in supporting this transformation?

The divisional and enterprise vision and objectives need to be outlined before the formalization of the governance structures. Some guiding principles should be drafted by the IT personnel alongside other enterprise management personnel. The principle drafting may also involve setting up various account managers within the LOBs and also forming a steering committee which is given a considerable power of decision making (De Weerdt, Schupp, Vanderloock, & Baesens, 2013). The multidivisional committee must work very closely with the CIO and other management personnel and have a corporate sponsorship and high level approval. The management team should concentrate on guiding the process of transformation and focusing on key issues such as regulatory compliance and sox. In addition, involvement of the enterprise stakeholders in the steering committee will allow the IT structures and the business become partners an effectively work together. It will also ensure all point of views within the enterprise are heard and considered during the process of decision making. Policy decisions should be outlined early on to support the vision of the organization.

Issues discussed

In the answers discussed above, the thoughts given follows the strategic view and also the organizational chart. In this case, the IT is often seen taking a backseat to some vital business concerns that it should have actually tackled. For instance, the CEO being approached during the weekend to address the IT issues shows total lack of perceived value in IT division. The company also has that reputation of the customer knowledge thus allowing it grab the competitive edge. The CEO is a very strong believer in IT as a potential business support. This belief can be reinforced with the process in which IT is set up to operate and also with its failure to meet the minimum credibility and competency standards. The instinctual desire have all the IT outsources by Manley is a very good indicator of the inability on the side of IT to deliver the required value to the enterprise.

One of the best practices that should be deployed before beginning the restructuring process or even the process of consolidation to a customer service file is to get the business need and develop some kind of technology roadmap (Tyagi & Sawhney, 2010). It is not a requirement to complement the entire process before beginning other initiatives but rather this process will give the enterprise a focus while setting the current expectations. This will be helpful as it will open the communication lines for IT and other business operations as well. Since the technological roadmap focuses largely on how technology will be deployed to support the strategy, vision and objectives of the business, this will therefore help to ensure all the divisions work in harmony towards to unification of the organization.

Once the divisional and organizational objectives and vision are lined out, other processes can begin. To ensure the processes are working properly alongside business operations, various guiding principles have to be established. This may be in form of setting up account managers within the LOBs as discussed and setting up a multidivisional steering committee which is empowered with considerable decision making capabilities. Communicating business needs is necessary to ensure the IT staffing is correctly done. It is also of great importance that the guiding principles align to the enterprise vision and objectives. According to the textbook, the vision of the enterprise would consist of the following;

1.      Continuous growth

2.      Ability to spend more time with the customers

3.      Expansion of customer relationships

4.      Ability to cross-sell products and services

5.      Provision of consistent experience to the organization’s customers

In addition, implementation of a SOA environment has to be considered within the process.


 

References

Boudreau, M. C., Serrano, C., & Larson, K. (2014). IT-driven identity work: Creating a group identity in a digital environment. Information and Organization, 24(1), 1–24. http://doi.org/10.1016/j.infoandorg.2013.11.001

De Weerdt, J., Schupp, A., Vanderloock, A., & Baesens, B. (2013). Process Mining for the multi-faceted analysis of business processes – A case study in a financial services organization. Computers in Industry, 64(1), 57–67. http://doi.org/10.1016/j.compind.2012.09.010

Smith, H. A., & McKeen, J. D. (2008). Creating a Process-Centric Organization at Fcc: Soa from the Top Down. MIS Quarterly Executive, 7(2), 71–84.

Tyagi, R. K., & Sawhney, M. S. (2010). High-performance product management: The impact of structure, process, competencies, and role definition. Journal of Product Innovation Management, 27(1), 83–96. http://doi.org/10.1111/j.1540-5885.2009.00701.x

Yoo, Y., Boland, R. J., & Lyytinen, K. (2006). From Organization Design to Organization Designing. Organization Science, 17(2), 215–229. http://doi.org/10.1287/orsc.1050.0168

 

 

Algebra colllege

The main object of study for this week (as well as for all of Algebra) is the Function.  A function “f” is a correspondence between two sets, the domain of the function, x,  and the range of the function, f(x) such that every element x of the domain corresponds with exactly one element y, or f(x), of the range.

 

In this week’s Algebra Talk, we will discuss the concept of a function along with some properties and examples.  Please start by addressing one or more of the following topics to get the discussion going:

1.  Give an example from real life where functions are utilized. For ideas, look it up on the internet or find some examples in the textbook.  Why did you pick this example?  How might you or your classmates use this in the future?

2.  If the domain and range of a function consists of real numbers, then you can graph it by plotting all ordered pairs of the form (x, f(x)).  How can you tell by looking at a graph if it represents a function?

3. What is meant by a “piecewise-defined” function?  Give a real-world example or an example using real numbers.
Example:  Here is a real-world example to help you explain what a piecewise-defined function is and to give other examples:
At a local pizza restaurant, it costs $15 for a cheese pizza.  However, if you buy more than 5 pizzas, it only costs $12 per pizza.  Thus, the cost of a pizza is given by the following piecewise-defined function:

4. Why are there usually two solutions in quadratic equations?

5.  Give an example from real life where quadratics are utilized. For ideas, look it up on the internet or find examples in the textbook. Why did you pick this example?

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Statistics

 

 

Assume alpha 0.05 2-tailed where not mentioned)

 

 

 

 

2. A doctor is interested in whether or not the amount of time a child eats breast milk has a relationship with eventual memory scores. The following data (located at the bottom of the page) on 8-year-old children has been collected. Determine if there is a relationship and what type is may be. a. The value of the appropriate statistic equals _________. b. The proportion of variability of Y a ccounted for by X is _________.

 

 

 

 

 

3. A distribution has a mean of 150.00 and a standard deviation of 8.3. (12 points)

a. The raw score corresponding to a z score of 0.00 is _________

b. The z score for a raw score of 123 is ______________

c. The z score for a raw score of 168 is ______________

 

4. A resent study researched the possible impact meditation on depression. (The chart is located at the bottom of the page). A total of 10 subjects were ran through a baseline and then, after 4 months of meditation training, a second measure of their depression scores were taken. Use the most powerful test you were taught in order to analyze this repeated measures design. (alpha 0.05) a. What is the Alternative hypothesis? b. State the Null hypothesis. c. What is obtained value for the appropriate test utilized, the critical value it is compared to, and your conclusion?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5. A marketing group is interested in which of 3 soft-drink formulas to market in Paris, as the French do not care for the same taste in pop as Americans do. Three groups are selected at random to rate each of the 3 formulas. (The chart is located below). What conclusions can you make from the ratings: (alpha 0.05)

a. State the alternative hypothesis.

b. state the null hypothesis

 

 

Complete the table. What can you conclude (remember to include your critical value

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7. Suppose a statistics instructor is interested in assessing whether there is a significant difference in the mean achievement scores of Math 101 students who are taught under two conditions. The first condition is a highly structured environment in which a fixed time is given for the teaching and learning of Math concepts. The second condition is a less structured environment in which the same concepts are presented but with no set time for completion of the teaching-learning process. An achievement test given at the end of six weeks to the 17 participants in the study who were randomly assigned to one of the two conditions gives the following results: (alpha 0.05)(See chart below) (12 points) a. What is the Alternative hypothesis? b. State the Null hypothesis. c. What is obtained value for the appropriate test utilized, the critical value it is compared to, and your conclusion?

 

8. The MPAA says that piracy has drastically decreased the profit of most movies. A researcher tracks 24 months worth of movie profits and finds the average is $3.7 million with a standard deviation of $0.6 million. The studio claim is that the average monthly profit on movies is $4.9 million. Does the data support the MPAA’s claim?

a. What is the Alternative hypothesis?

b. State the Null hypothesis.

c. What is obtained value for the appropriate test utilized, the critical value it is compared to, and your conclusion?

 

 

 

 

 

 

 

 

 

 

9. Imagine that you have been hired by the Jelly Belly Company to run the sorting machine, which contains 200 jelly beans. One hundred are red, 40 are green, 30 are yellow, 25 are white, and 5 are black. If you reached into the machine without looking and grabbed a jelly bean, what is the probability that it is: (12 points)

a. Green?

b. Black?

c. Not yellow?

d. Red or white?

e. Green, yellow, or black?

 

Now imagine that you are to select two jelly beans, however, you must put the first jelly bean back before you make your second selection (with replacement). What is the probability that you will select a:

f. Red jelly bean on the first selection and a black jelly bean on the second selection?

g. Green and yellow?

h. Yellow, yellow, and yellow?

 

The President of the company says this procedure is gross, so she allows you to select two jelly beans without putting the first one back (without replacement). What is the probability that you will select a:

i. White and black?

j. Red and green?

 

 

 

GOOGLE STOCK (VERSION 2015)

Project 3 instructions

 

Based on Larson & Farber: sections 5.2-5.3

To obtain the data:

 

  1. Go to this website.
  2. Set the date range to be 1/2/2014 to 1/2/2015.
  3. Click “update”. 
  4. Click the link on the right that says Download to Spreadsheet

 

This project will only use the Closing Values. Assume that the closing prices of the stock form a normally distributed data set. This means that you need to use Excel to find the mean and standard deviation and then use those numbers and the methods you learned in sections 5.2 and 5.3 of our text book for Normal distributions to answer the questions.

 

Complete this assignment within a single Excel file. Show your work or explain how you obtained each of your answers.  Answers with no work and no explanation will receive no credit.

 

1.      If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year? Hint: You do not want to calculate the mean to answer this one. The probability would be the same for any normal distribution. (5 points)

 

 

 

2.      If a person bought one share of Google stock within the last year, what is the probability that the stock on that day closed at more than $550? (5 points)

 

3.      If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed within $45 of the mean for that year? (5 points)

 

 

 

4.      Suppose a person within the last year claimed to have bought Google stock at closing at $500 per share. Would such a price be considered unusual?  Be sure to use the definition of unusual from our textbook. (5 points)

 

 

5.      At what prices would Google have to close at in order for it to be considered statistically unusual? You should have a low and high value. ?  Be sure to use the definition of unusual from our textbook. (5 points)

 

6.      What are Quartile 1, Quartile 2, and Quartile 3 in this data set? Use Excel to find these values.  This is the only question that you should answer without using anything about the Normal distribution. (5 points)

 

7.       Is the normality assumption that was made at the beginning valid? Why or why not? Hint: Does this distribution have the properties of a normal distribution as described in our textbook? It does not need to be perfect.  Real data sets are never perfect.  However, it should be close. One option would be to construct a histogram like we did in Project 1 and see if it has the right shape.  If you go this route, something in the range of 10 to 12 classes would be a good number. (5 points)

 

 

 

 

 

Correct mean: 1.5 points

Correct SD: 1.5 points

Correct date range: 2 point

 

 

Submit your work through the assignment link by 11:59 p.m. (ET) on Monday, 2/16.Please make sure to show all steps. If you use Excel to help find the answer, explain in words what you do.  Note that you must do this project on your own—you may not work with other students. You are always welcome to ask your instructor for help.

kimric

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Administrator Competencies and Paths to Leadership

Name of Student:

Institutional Affiliation:

Question 1: Administrator Competencies

The whole issue regarding the management, planning, and other administrative role with regards to the management of young people is a broad concept. The National Association for the Education of Young Children is an association that is in charge with the administration of knowledge and other administrative duties to the young people. In light of the above, there is a very narrow line that separates the management knowledge and skills and early childhood knowledge and skills. Notably, the two concepts largely overlap both conceptually as well as in practice.

To begin with, management of knowledge and skills is largely premised on the ability of administrators to coin out knowledge out of day to day activities. The same is the case when it comes to the management of the early childhood knowledge and skills. Conceptually, the two are similar in the sense that they both revolve around scouting in some source of information in order to arrive at some steady yet very reliable and solid conclusions that can steer their administration to a higher level of achievement. This brings to the fore the link that exists between the concept of early childhood knowledge and skills as well as management knowledge and skills.

Nonetheless, there is a practical relationship between management knowledge and early childhood knowledge and skills. It is noteworthy to take into consideration the fact that the administrators who are in charge of management are the ones who are more likely to use the same knowledge they acquire in the various fields of operations to pass to the young children in kindergarten and other learning institutions for the young people.

 

 

Question 2: Paths to Leadership

 

            NAEYC’s Code of Ethical Conduct: Supplement for Early Childhood Adult Educators is a document that act as the guideline for early childhood educators. The guideline is core to the practice as it offers the various sets of moral obligations among the practitioners. It is therefore important that such guidelines are implemented to the letter by the various administrators who are in charge. This way, it is easier to manage the moral and ethical behaviors of the various managers.

            Furthermore, the ethical guideline is consistent with my personal pathway of the inside syndrome. In this pathway, I am of the strongest conviction that moral obligations should be inwardly generated rather than depend in the various guidelines to restrict the moral and ethical orientation of an individual (Bilha, 2012). This means that it is important that one act morally out of his or her personal will rather than acting like so out of some external or outward pressures; without which, such a person cannot be in a position to act in a way that is regarded as moral or ethical by the rest of the society.

            Pursuant to the NAEYC’s Code of Ethical Conduct, the provision outlined significant approaches that could be implemented in order to avert the ethical and moral dilemmas that plague the leadership and management of an organization (Don, 2011). One of the challenges that are sought by the guideline is that of the ideals and principles. This way, it is possible that readers get a lot more than is obvious.


 

References

Bilha, C. (2012). Principles of Early Chilhood . Ohio: PWC Press.

Don, B. (2011). Leadership in Early Chilhood Development. Ohio: Oxford University Press.

 

 

 

Dancing with the Wolves and the Body Guard

Create  minimum of 8 slides, using Microsoft® PowerPoint® presentation (excluding references and title)   describing your selected genres and how your chosen films fit or do not not fit the standard model of the genres 

 

Include the following:

 

·         Description of your selected genres

·         Description of the films’ following components:

 

·         Summary of the film’s story

·         Setting & lighting

·         Makeup & costumes

·         Music & sound

·         Editing

 

·         Discussion of the films as either typical or atypical of their respective genres and how each film’s components support your view

 

Address social context aspects of films as discussed in Ch. 10 of Film by writing the following for inclusion on one Microsoft® PowerPoint® slide:

 

·         Discuss your films in terms of its social context. What influences from their time period are present in the films? Consider how the films might be different were they made in another time and places. Why and how would they be different?

 All slides must have images. All of your slides must have descriptive Speaker Notes. 

Format your presentation consistent with APA guidelines. You must have at least two references. 

 

 

Note: Your slides need to be neat and professional. Avoid too much text on slides. A good practice is to follow a 3 by 5 method. This means each slide should have three items and each item should only have five words.

Linear Programming Case Study

Week 8 Assignment 1

 

Students, please view the “Submit a Clickable Rubric Assignment” in the Student Center.

 

Instructors, training on how to grade is within the Instructor Center.

 

Assignment 1. Linear Programming Case Study

 

Your instructor will assign a linear programming project for this assignment according to the following specifications.

 

It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won’t have alternate optimal solutions). The problem will also include a component that involves sensitivity analysis and the use of the shadow price.

 

You will be turning in two (2) deliverables, a short writeup of the project and the spreadsheet showing your work.

 

Writeup.

 

Your writeup should introduce your solution to the project by describing the problem. Correctly identify what type of problem this is. For example, you should note if the problem is a maximization or minimization problem, as well as identify the resources that constrain the solution. Identify each variable and explain the criteria involved in setting up the model. This should be encapsulated in one (1) or two (2) succinct paragraphs.

 

After the introductory paragraph, write out the L.P. model for the problem. Include the objective function and all constraints, including any non-negativity constraints. Then, you should present the optimal solution, based on your work in Excel. Explain what the results mean.

 

Finally, write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.

 

Excel.

 

As previously noted, please set up your problem in Excel and find the solution using Solver. Clearly label the cells in your spreadsheet. You will turn in the entire spreadsheet, showing the setup of the model, and the results.

 

Click here to view the grading rubric for this assignment.

 

. Week 8 Assignment #1 Case Problem .

 

Assignment #1: Case Problem “Julia’s Food Booth” 

 

Complete the “Julia’s Food Booth” case problem on page 109 of the text. Address each of the issues A – D according the instructions given. 

 

•(A) Formulate and solve an L.P. model for this case.

•(B) Evaluate the prospect of borrowing money before the first game.

•(C) Evaluate the prospect of paying a friend $100/game to assist.

•(D) Analyze the impact of uncertainties on the model.

 

 

 

Julia is a senior at Tech, and she’s investigating different ways to finance her final year at school.  She is considering leasing a food booth outside the Tech stadium at home football games.  Tech sells out every home game, and Julia knows, from attending the games herself, that everyone eats a lot of food.  She has to pay $1,000 per game for a booth, and the booths are not very large.  Vendors can sell either food or drinks on Tech property, but not both.  Only the Tech athletic department concession stands can sell both inside the stadium.  She thinks slices of cheese pizza, hot dogs, and barbecue sandwiches are the most popular food items among fans and so these are the items she would sell.

 

Most food items are sold during the hour before the game starts and during half time; thus it will not be possible for Julia to prepare the food while she is selling it.  She must prepare the food ahead of time and then store it in a warming oven.  For $600 she can lease a warming oven for the six-game home season.  The oven has 16 shelves, and each shelf is 3 feet by 4 feet.  She plans to fill the oven with the three food items before the game and then again before half time.

 

Julia has negotiated with a local pizza delivery company to deliver 14-inch cheese pizzas twice each game – 2 hours before the game and right after the opening kickoff.  Each pizza will cost her $4.50 and will include 6 slices.  She estimates it will cost her $0.50 for each hot dog and $1.00 for each barbecue sandwich if she makes the barbecue herself the night before.  She measured a hot dog and found it takes up about 16 in2 of space, whereas a barbecue sandwich takes up about 25 in2.  She plans to sell a piece of pizza for $1.50 and a hot dog for $1.60 each and a barbecue sandwich for $2.25.  She has $1,500 in cash available to purchase and prepare the food items for the first home game; for the remaining five games she will purchase her ingredients with money she has made from the previous game.

 

Julia has talked to some students and vendors who have sold food at previous football games at Tech as well as at other universities.  From this she has discovered that she can expect to sell at least as many slices of pizza as hot dogs and barbecue sandwiches combined.  She also anticipates that she will probably sell at least twice as many hot dogs as barbecue sandwiches.  She believes that she will sell everything she can stock and develop a customer base for the season if she follows these general guidelines for demand.

 

If Julia clears at least $1,000 in profit for each game after paying all her expenses, she believes it will be worth leasing the booth.

 

A.  Formulate a linear programming model for Julia that will help you to advise her if she should lease the booth.  Formulate the model for the first home game.  Explain how you derived the profit function and constraints and show any calculations that allow you to arrive at those equations.

 

B.  Solve the linear programming model using a computer for Julia that will help you advise her if she should lease the booth.  In this solution, determine the number of pizza slices, hot dogs and barbecue sandwiches she should sell at each game.  Also determine the revenues, cost and profit; and do an analysis of how much money she actually will make each game given the expenses of each game.

 

Do an analysis of the profit solution and what impact it has on Julia’s ability to have sufficient funds for the next home game to purchase and prepare the food.  What would you recommend to Julia?

 

C.  If Julia were to borrow some money from a friend before the first game to purchase more ingredients, she feels she can increase her profits.  What amount, if any, would you recommend to Julia to borrow?

 

D.  Food prices have been rising lately.  Assume purchase costs for the food is now $6.00 for each pizza, $0.75 for each hot dog, and $1.25 for each barbecue sandwich.  Repeat the analysis of Part B.  What would you recommend to Julia to do at this point?

 

 

E.  Julia seems to be basing her analysis on the assumptions that everything will go as she plans.  What are some of the uncertain factors in the model that could go wrong and adversely affect Julia’s analysis?  Given these uncertainties and the results in (B), (C), and (D), what do you recommend that Julia do?  Take into consideration her profit margin for each game.

 

Your work will be graded according to the following rubric.

 

Points: 110

Assignment 1:  Linear Programming Case Study

Criteria

 

Unacceptable

Below 60% F

Meets Minimum Expectations

60-69% D

 

Fair

70-79% C

 

Proficient

80-89% B

 

Exemplary

90-100% A

Explain what type of problem this is and the approach you are taking (20%)

Did not explain what type of problem this is and the approach taken, or did so insufficiently.

Insufficiently explained what type of problem this is and the approach taken

Partially explained what type of problem this is and the approach taken

Satisfactorily explained what type of problem this is and the approach taken

Thoroughly explained what type of problem this is and the approach taken

 

Objective function specified correctly in writeup (10%)

Objective function is specified incorrectly, with both coefficients incorrect or missing.

Objective function is specified, but one (1) coefficient is incorrect.

Coefficients for objective function are correct, but whether this is a max or min problem is incorrect.

 

Objective function is specified correctly.

Constraints are specified correctly in writeup (10%)

Constraints are specified incorrectly or missing.

Some constraints are correctly specified.

Most constraints are correctly specified.

  All constraints are correctly specified, buy applicable nonnegativity constraints are omitted.

  All constraints are correctly specified, including nonnegativity constraints, if applicable.

Specified L.P. Model is correctly translated to Excel (10%)

Specified L.P. Model is incorrectly translated into Excel

Specified model is translated to Excel in a partially correct manner

Specified model is translated to Excel in a mostly correct manner

 

Specified model is correctly translated to Excel

Correct Answer is Obtained (10%)

Correct optimum is not obtained

 

 

 

Correct optimum is obtained

Correctly answer the sensitivity analysis part of the problem. (15%)

Did not attempt the sensitivity analysis part of the problem or did so with less than 60% accuracy and completeness

Insufficiently explained and/or  provided a partially correct answer to the sensitivity analysis part of the problem

Partially  explained and/or provided a partially correct answer to the sensitivity analysis part of the problem

Satisfactorily explained and correctly answered the sensitivity analysis part of the problem

Thoroughly explained and correctly answered the sensitivity analysis part of the problem

Correctly answer the shadow price part of the problem.  (15%)

Did not attempt the sensitivity analysis part of the problem or did so with less than 60% accuracy and completeness

Insufficiently explained and/or  provided a partially correct answer to the sensitivity analysis part of the problem

Partially  explained and/or provided a partially correct answer to the sensitivity analysis part of the problem

Satisfactorily explained and correctly answered the sensitivity analysis part of the problem

Thoroughly explained and correctly answered the sensitivity analysis part of the problem

5. Writing / Grammar and mechanics

(10%)

Serious and persistent errors in grammar, spelling, and punctuation.

Numerous errors in grammar, spelling, and punctuation.

Partially free of errors in grammar, spelling, and punctuation.

Mostly free of errors in grammar, spelling, and punctuation.

Free of errors in grammar, spelling, and punctuation.