Nursing – Human Relationships And Life Transitions

401005 : Nursing – Human Relationships And Life Transitions – Nursing Assessment Help

TASK

Demonstrate an understanding of the components of human development including psychological, social, cognitive and moral components of human development throughout the lifespan from pre-birth to older age.

Explain the nature of human relationships across the lifespan, social attachments and the influence of culture on human development.

Identify coping strategies used to manage life transitions in each stage of the lifespan

Explain the relevance of human relationship and life transition concepts to nursing and midwifery practice

Q2

Activity-Based Product Costing Suppose that a surgical ward has gathered the following information for four nursing activities and two types of patients:

Required:

1. Determine the total nursing costs assigned to each patient category.

2. Output is measured in patient days. Assuming that the normal patient category uses 10,000 patient days and the intensive patient category uses 8,000 patient days, calculate the nursing cost per patient day for each type of patient.

3. Conceptual Connection: The supervisor of the surgical ward has suggested that patient days is the only driver

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History homework help

Length: 2000 words
Task Your task is to respond to one of the following questions.

  1. What effect did Christianity have on sexual practices?
  2. Investigate attitudes to abortion in nineteenth-century Britain or America.
  3. What were the features of eighteenth-century homosexual subcultures?
  4. Is it accurate to characterise the Victorian era as a period of sexual repression?
  5. Were puritan attitudes to sexuality austere?
  6. How have scientific, medical and legal professions regulated sex and sexuality?
  7. Are romantic friendships evidence of a nineteenth-century lesbian subculture?
  8. Explain the major approaches to writing histories of sex and sexuality.
  9. Were the 1960s a period of ‘sexual revolution’?
  10. Assess community responses to the HIV/AIDS crisis in the late twentieth century?

 
Requirements:

  • The essay should be between 2000 words in length (excluding bibliography and intext referencing or footnotes).
  • Your name and student number must be written clearly at the top of the submission along with the question you are attempting to answer
  • The essay must comprise an introduction, main body and conclusion, and it must be written in clear prose and have a coherent structure. Do not use subheadings.
  • You may use any readings provided in the course, but you must also consult additional scholarly sources. All sources must be cited using appropriate in-text referencing conventions, or footnotes if you prefer. As a guide, you should use at least 10 sources.
  • All sources used in your response must be fully cited in a bibliography (as outlined in the Guide to Referencing).
  • Unacceptable sources include lecture notes, encyclopaedias, and unverifiable internet sources (e.g. Wikipedia

Each essay must be written in at least 12-point font, double spaced with appropriate margins Research Essay
 
 

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DISTINGUISH THE FACTORS THAT ARE MOST IMPORTANT IN CARRYING OUT A SUCCESSFUL HEALTH CARE ORGANIZATION’S MERGER OR ACQUISITION

distinguish the factors that are most important in carrying out a successful health care organization’s merger or acquisition. Defend at least two (2) reasons why health care organization alliances are sometimes necessary. Provide a rationale for your response.

Dispute or defend the idea that a government regulation system should be the main regulating body in health care. Predict two (2) consequences of the alternative regulating system being in control. Provide a rationale for your response.

This is discussion questions just need a paragraph for each question with referance

Q2

A lower percentage of African Americans and Hispanics report being satisfied with the quality of their healthcare than Caucasians. In the light of this, answer the questions that follow: • Discuss at least three factors influencing differences in the rates of satisfaction with quality of healthcare among African Americans and Hispanics. • Explain how differences in the healthcare received by people contribute to disparities in health. • Identify at least three strategies that can overcome these differences in care. Justify your responses by citing at least two scholarly sources. Support your responses with examples. In addition, respond to the following questions: • Explain why health indicators are an important tool in public health. • What are the leading health indicators as identified by Healthy People 2020? • Describe how organizations across the nation are addressing these priority health topics.

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Applying and Sharing Evidence to Practice

Applying and Sharing Evidence to Practice
After the data have been analyzed, conclusions are made regarding what the findings mean. Then, this information must be shared with your healthcare team.

  1. Choose one of the articles from the Week 5 RRL assignment, and discuss the findings. Would you apply the evidence found to your practice? Explain your answer.
  2. Translating research into practice is the final and most important step in the research process. Review information you found your nursing clinical issue and explain ways in which you would share the research-based evidence with your peers.

Applying and Sharing Evidence to Practice

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 Structure And Functions Of Organs

 Structure And Functions Of Organs

Identify an organism that lives within 50 miles of your home.
Write a 1,050- to 1,400-word paper about how the organism has adapted to survive in their specific environment. Include the following points in your paper:

  • Briefly describe the environment (temperature, landscape, food sources, etc.) and describe the organism’s role in the environment. Determine which organism your chosen organism would be most closely related to using a phylogenetic tree.
  • Identify the structures and functions of the main organs found in your selected organism.
  • Explain how the organism has evolved physiologically to become suited to its environment.
  • Explain how things would change if the organism were to be transplanted to a significantly different environment:
  • Would their organ system still be as efficient? Why or why not?
  • Would the organism survive in this new environment? Why or why not?

Include the diagram and other appropriate pictures in your paper and make sure to provide a full reference for the images in your reference section.
Format your paper consistent with APA guidelines including references and in-text citations. Your paper should include a well written introduction and conclusion. Use only academic research sources.

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& PTSD Treatment Essay Assignment Papers

Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers

Week 5: Anxiolytic Therapy & PTSD Treatment

“I’m no longer at the mercy of my PTSD, and I would not be here today had I not had the proper diagnosis and treatment. It’s never too late to seek help.”

—P.K. Philips, PTSD patient

For individuals suffering from posttraumatic stress disorder (PTSD) and other anxiety disorders, everyday life can be a constant challenge. Clients requiring anxiolytic therapy may present with anxiousness, depression, substance abuse issues, and even physical symptoms related to cardiovascular, respiratory, and gastrointestinal ailments. As a psychiatric mental health nurse practitioner, you must be prepared to address the many needs of individuals seeking treatment for PTSD and other anxiety disorders. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers
This week, as you study anxiolytic therapies and PTSD treatments, you examine the assessment and treatment of clients with PTSD and other anxiety disorders. You also explore ethical and legal implications of these therapies.

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Assignment: Assessing and Treating Clients With Anxiety Disorders

Common symptoms of anxiety disorders include chest pains, shortness of breath, and other physical symptoms that may be mistaken for a heart attack or other physical ailment. These manifestations often prompt clients to seek care from their primary care providers or emergency departments. Once it is determined that there is no organic basis for these symptoms, clients are typically referred to a psychiatric mental health practitioner for anxiolytic therapy. For this Assignment, as you examine the client case study in this week’s Learning Resources, consider how you might assess and treat clients presenting with anxiety disorders. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.

Learning Objectives

Students will:
  • Assess client factors and history to develop personalized plans of anxiolytic therapy for clients
  • Analyze factors that influence pharmacokinetic and pharmacodynamic processes in clients requiring anxiolytic therapy
  • Evaluate efficacy of treatment plans. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers
  • Analyze ethical and legal implications related to prescribing anxiolytic therapy to clients across the lifespan

Note: To access this week’s required library resources, please click on the link to the Course Readings List, found in the Course Materials section of your Syllabus.

Required Readings

Note: All Stahl resources can be accessed through the Walden Library using this link. This link will take you to a log-in page for the Walden Library. Once you log into the library, the Stahl website will appear.

Stahl, S. M. (2013). Stahl’s essential psychopharmacology: Neuroscientific basis and practical applications (4th ed.). New York, NY: Cambridge University Press. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.
To access the following chapters, click on the Essential Psychopharmacology, 4th ed tab on the Stahl Online website and select the appropriate chapter. Be sure to read all sections on the left navigation bar for each chapter.

  • Chapter 9, “Anxiety Disorder and Anxiolytics”

Stahl, S. M., & Grady, M. (2010). Stahl’s illustrated anxiety, stress, and PTSD. New York, NY: Cambridge niversity Press. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.
 
To access the following chapters, click on the Illustrated Guides tab and then the Anxiety, Stress, and PTSD tab.

  • Chapter 4, “First-Line Medications for PTSD”
  • Chapter 5, “Second-Line, Adjunct, and Investigational Medications for PTSD”

Strawn, J. R., Wehry, A. M., DelBello, M. P., Rynn, M. A., & Strakowski, S. (2012). Establishing the neurobiologic basis of treatment in children and adolescents with generalized anxiety disorder. Depression and Anxiety, 29(4), 328–-339. doi:10.1002/da.21913. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.
Note: Retrieved from Walden Library databases.

Hamilton, M. (1959). Hamilton Anxiety Rating Scale. Psyctests, doi:10.1037/t02824-0
Note: Retrieved from Walden Library databases.

Required Media

Laureate Education. (2016b). Case study: A middle-aged Caucasian man with anxiety[Interactive media file]. Baltimore, MD: Author.
 
Note: This case study will serve as the foundation for this week’s Assignment.

Optional Resources

Lupi, M., Martinotti, G., Acciavatti, T., Pettorruso, M., Brunetti, M., Santacroce, R., & … Di Giannantonio, M. (2014). Pharmacological treatments in gambling disorder: A qualitative review. Biomed Research International, 2014. doi:10.1155/2014/537306. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.

To prepare for this Assignment:

  • Review this week’s Learning Resources. Consider how to assess and treat clients requiring anxiolytic therapy.

The Assignment
Examine Case Study: A Middle-Aged Caucasian Man With Anxiety. You will be asked to make three decisions concerning the medication to prescribe to this client. Be sure to consider factors that might impact the client’s pharmacokinetic and pharmacodynamic processes.
At each decision point stop to complete the following:

  • Decision #1
    • Which decision did you select?
    • Why did you select this decision? Support your response with evidence and references to the Learning Resources.
    • What were you hoping to achieve by making this decision? Support your response with evidence and references to the Learning Resources.
    • Explain any difference between what you expected to achieve with Decision #1 and the results of the decision. Why were they different? Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.
  • Decision #2
    • Why did you select this decision? Support your response with evidence and references to the Learning Resources.
    • What were you hoping to achieve by making this decision? Support your response with evidence and references to the Learning Resources.
    • Explain any difference between what you expected to achieve with Decision #2 and the results of the decision. Why were they different? Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.
  • Decision #3
    • Why did you select this decision? Support your response with evidence and references to the Learning Resources.
    • What were you hoping to achieve by making this decision? Support your response with evidence and references to the Learning Resources.
    • Explain any difference between what you expected to achieve with Decision #3 and the results of the decision. Why were they different?

Also include how ethical considerations might impact your treatment plan and communication with clients.

Note: Support your rationale with a minimum of three academic resources. While you may use the course text to support your rationale, it will not count toward the resource requirement. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.

Submission and Grading Information

To submit your completed Assignment for review and grading, do the following:

  • Save your Assignment using the naming convention “WK5Assgn+last name+first initial.(extension)” as the name.
  • Click on the Assignment Rubric to review the Grading Criteria for the Assignment.
  • Click on the Week 5 Assignment link. Next, from the Attach File area, click on the Browse My Computer button. Find the document you saved as “WK5Assgn+last name+first initial.(extension)” and click on Open. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.
  • If applicable: From the Plagiarism Tools area, click in the checkbox for I agree to submit my paper(s) to the Global Reference Database.
Grading Criteria

To access your rubric:
Week 5 Assignment Rubric

Check Your Assignment Draft for Authenticity

To check your Assignment draft for authenticity:
Submit your Week 5 Assignment draft and review the originality report.

Submit Your Assignment by Day 7

To submit your Assignment:
Week 5 Assignment. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers.

Now that you have:

  • Assessed clients presenting with PTSD and other anxiety disorders
  • Developed personalized plans of anxiolytic therapy for clients
  • Examined factors that influence pharmacokinetic and pharmacodynamic processes in clients requiring anxiolytic therapy
  • Explored ethical and legal implications of prescribing anxiolytic therapy to clients

Next week, you will build on your assessment and treatment skills as you examine clients presenting for antipsychotic therapy. Anxiolytic Therapy & PTSD Treatment Essay Assignment Papers

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Modern Human genetic adaptations influenced by cultural behaviors


Anthr 1: Research Paper Due no later than 11:00 p.m. on Friday 5/4/2018

(This assignment is worth 40 points)

Choose one of the following three subject areas for your 4-6 page research paper for this class. Tell me what aspect(s) of this topic interest(s) you. Investigate the current research regarding your specific topic and write a clear, original paper on your findings, written specifically for this spring 2018 class at CoA.

The general parameters listed below as appropriate subject areas for this assignment are intentionally broad and vague in order to give students a wide range of ideas. Remember that your research paper must be focused on the underlying BIOLOGY of your topic, not just the social or cultural aspect/impact of your topic today.

1) Modern Human genetic adaptations influenced by cultural behaviors

2) Hominin Evolution and Climate Change: early genus Homo to Archaic H. sapiens

3) Evolution of stone tools and the hominins that made and used them: Oldowan tools through

Upper Paleolithic tools

Procedures:

· Introduce and define the topic you are addressing in a clear and concise thesis statement (what is the focus of your paper). Your thesis statement must be stated at the end of your first paragraph.

· Present background information on this topic, including historic research if applicable.

· Compare/contrast the views of several researchers and at least five different sources. Add to the research you compiled in the Annotated Bibliography assignment earlier in this course.

· Structure your paper to present information in a logical progression to build a cohesive narrative.

· Recap and conclude. Your conclusion must include a restatement of your thesis and demonstrate clearly what you learned during this research.

· Spell-check and re-read your finished paper to make sure that it says what you think you wrote.

Requirements:

· Your name and date of this assignment in top left-hand corner (NOTHING ELSE! Do not include my name or the course name/number, DO NOT include a title page or abstract.)

· Subject to be discussed clearly stated in the center of the top of first page.

· Minimum 4 full pages, maximum 6 pages; 1-inch page margins, double spaced, 12-point font

· Use at least five reputable and verifiable sources (including CoA Library database sources)

· Full APA format source page that includes all sources used in this research paper. Listing only the URL for a website is not sufficient. Refer to your Annotated Bibliography assignment for APA source page format (do not include annotations in your Research Paper source page).

· Your source page does not count in the page total for this research paper.

· Use in-text citations (cite specific sources) for all information that is not common knowledge. DO NOT use footnotes!

IMPORTANT: Do not resort to plagiarism! Plagiarism means copying anyone else’s words and/or sentence structure and trying to pass them off as your own, original work (including recycling your own work from a previous class). Review this website to understand what is plagiarism and what it is not:http://www.plagiarism.org/plagiarism-101/what-is-plagiarism/ . Plagiarized papers will receive a grade of “0” for this assignment. There are no “do-overs” for this assignment.
Grading Rubric
Excellent work (score 36 – 40):
Demonstrates thorough understanding of the topic through specific, detailed discussion, comparison and contrast.
Analysis includes thorough discussion of information presented in multiple reliable published sources.
Conclusion is comprehensive and concise.
Good work (score 32 – 35):
Demonstrates moderate understanding of the topic through discussion, comparison and contrast but lacks sufficient detail.
Analysis includes discussion of information presented in multiple reliable published sources but
skewed towards the student’s point of view (did not thoroughly process what was being researched).
Conclusion is adequate but not thorough.
Adequate work (score 28 – 31):
Demonstrates some understanding of the topic but lacks sufficient discussion and details.
Analysis includes some discussion of the research topic but lacks details and/or insufficient understanding of what was presented or inadequate research.
Able to draw generic conclusion.
Inadequate work (score 24 – 26):
Demonstrates some understanding of the topic, but little effort was made to complete this assignment
Opinion outweighs analysis, little demonstration of having learned anything about the topic.
Not acceptable work (23 or below):
Did not understand the assignment.
Incomplete assignment.
Guaranteed grade of “0”:
Submitted plagiarized work.
No paper submitted.

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Cardiomyopathy and congestive heart failure case study

Cardiomyopathy and congestive heart failure case study
In a short essay (500-750 words), answer the Question at the end of Case Study 2. Cite references to support your positions.  Prepare this assignment according to the APA guidelines found in the APA Style Guide, located in the Student Success Center. An abstract is not required.  This assignment uses a grading rubric. Instructors will be using the rubric to grade the assignment; therefore, students should review the rubric prior to beginning the assignment to become familiar with the assignment criteria and expectations for successful completion of the assignment.  You are required to submit this assignment to Turnitin. Cardiomyopathy and congestive heart failure case study.
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Mr. P is a 76-year-old male with cardiomyopathy and congestive heart failure who has been hospitalized frequently to treat CHF symptoms. He has difficulty maintaining diet restrictions and managing his polypharmacy. He has 4+ pitting edema, moist crackles throughout lung fields, and labored breathing. He has no family other than his wife, who verbalizes sadness over his declining health and over her inability to get out of the house. She is overwhelmed with the stack of medical bills, as Mr. P always took care of the financial issues. Mr. P is despondent and asks why God has not taken him.  Question Considering Mr. P’s condition and circumstance, write an essay of 500-750 words that includes the following: • Describe your approach to care. • Recommend a treatment plan. • Describe a method for providing both the patient and family with education and explain your rationale. • Provide a teaching plan (avoid using terminology that the patient and family may not understand). Cardiomyopathy and congestive heart failure case study.
20.0 % Describe your approach to care
20.0 % Recommend a treatment plan
20.0 % Describe a method for providing both the patient and family with education and your rationale.
20.0 % Provide a teaching plan, using words the patient and family will understand. Cardiomyopathy and congestive heart failure case study

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English homework help

INDU 6121: Assignment 2 Submission Deadline: Friday, November 20th. In this assignment, you need to implement and solve the given models by IBM CPLEX Optimization Studio (OPL). You need to consider a maximum time limit of 30 minutes in solving the given problems. For each problem, some data are given in an Excel file. After solving the problem, you need to report these details:
1- Solution time 2- The obtained objective value 3- The obtained solution
Note that for this assignment, you are not allowed to you the Excel Solver.
You need submit the hard and soft copy including this information:
1- Hard/Soft copy: a. OPL codes for each part of each question separately. On the top of each page, specify
the question and its corresponding part (a, b, c, d, etc). b. The outputs (Solution time, The obtained objective value, The obtained solution)
For the soft copy, you need to submit the original OPL files in addition to the report file. Do not just copy and paste the code in word and make it pdf. The marker will check your code. You can submit only one .rar or .zip file including OPl codes and pdf of your report. The name of this file must Your_Student_ID.rar or Your_Student_ID.zip.
 
Question 1- This question is about the Factory Planning problem that is explained in the slides of the course. In the general case of this problem, products 𝐼𝐼 = {1, … , |𝐼𝐼|} must be produced using processes 𝐽𝐽 = {1, … , |𝐽𝐽|}. The following parameters and variable are used by an operations research analyst to formulate the problem:
Parameters: 𝑑𝑑𝑖𝑖 : The market limit for product 𝑖𝑖. 𝑝𝑝𝑖𝑖 : The per-unit profit for selling product 𝑖𝑖. 𝑏𝑏𝑗𝑗 : The total available time for process 𝑗𝑗 (in hour) 𝑎𝑎𝑖𝑖𝑗𝑗 : The required time of process 𝑗𝑗 for one unit of product 𝑖𝑖 (in hour)
 
Variables: 𝑥𝑥𝑖𝑖 : The number of product 𝑖𝑖 produced and sold in the market.
 
Using this notation, the following model is proposed by the operations research analyst.
 
 
𝑚𝑚𝑎𝑎𝑥𝑥 �𝑝𝑝𝑖𝑖𝑥𝑥𝑖𝑖 𝑖𝑖∈𝐼𝐼
(1)
�𝑎𝑎𝑖𝑖𝑗𝑗𝑥𝑥𝑖𝑖 𝑖𝑖∈𝐼𝐼
≤ 𝑏𝑏𝑗𝑗 𝑗𝑗 ∈ 𝐽𝐽 (2)
0 ≤ 𝑥𝑥𝑖𝑖 ≤ 𝑑𝑑𝑖𝑖 𝑖𝑖 ∈ 𝐼𝐼 (3) 𝑥𝑥𝑖𝑖 integer 𝑖𝑖 ∈ 𝐼𝐼 (4)
 
The data for this problem are given in Factory_Planning.xlsx.
Question 1-Part a) Report the Solution time, the obtained objective value, and the obtained solution.
Question 1-Part b) The business owner has realized that she has two options;
1) pay $10,000 to have 10% more available time for the available time of process 1. 2) Stick the available times for processes as in the previous part of the question and do not pay
anything.
Which option do you recommend to the business owner?
 
Question 2- This question is about the Production planning problem with setup cost that is already discussed in the slides of the course. In the general case of this problem that we discussed in Quiz 1, different types of products 𝐾𝐾 = {1, … , |𝐾𝐾|} must be produced to cover the demands over a planning horizon 𝑇𝑇 = {1, … , |𝑇𝑇|} . The following parameters and variable are used by an operations research analyst to formulate the problem:
Parameters: 𝑑𝑑𝑘𝑘𝑘𝑘 : The demand of product 𝑘𝑘 in period 𝑡𝑡. 𝑝𝑝𝑘𝑘𝑘𝑘 : The per-unit production cost of product 𝑘𝑘 in period 𝑡𝑡. 𝑞𝑞𝑘𝑘𝑘𝑘 : The setup cost of producing product 𝑘𝑘 in period 𝑡𝑡. ℎ𝑘𝑘𝑘𝑘 : The per-unit holding cost of product 𝑘𝑘 in period 𝑡𝑡. 𝑎𝑎𝑘𝑘 : The initial inventory of product k at the beginning of planning horizon. 𝐶𝐶 : The limited capacity of the warehouse (in terms of m³). 𝑒𝑒𝑘𝑘 : The required space for one unit of product 𝑘𝑘 (in terms of m³).
 
Variables: 𝑥𝑥𝑘𝑘𝑘𝑘 : The amount of product 𝑘𝑘 to be produced in period 𝑡𝑡. 𝑠𝑠𝑘𝑘𝑘𝑘 : The inventory level of product 𝑘𝑘 at the end of period 𝑡𝑡. 𝑦𝑦𝑘𝑘𝑘𝑘 : 1 if product k is produced in period t, 0 otherwise.
Using this notation, the following model is proposed by the operations research analyst.
𝑚𝑚𝑖𝑖𝑚𝑚��𝑝𝑝𝑘𝑘𝑘𝑘𝑥𝑥𝑘𝑘𝑘𝑘 𝑘𝑘∈𝑇𝑇𝑘𝑘∈𝐾𝐾
+ ��𝑞𝑞𝑘𝑘𝑘𝑘𝑦𝑦𝑘𝑘𝑘𝑘 𝑘𝑘∈𝑇𝑇𝑘𝑘∈𝐾𝐾
+ ��ℎ𝑘𝑘𝑘𝑘𝑠𝑠𝑘𝑘𝑘𝑘 𝑘𝑘∈𝑇𝑇𝑘𝑘∈𝐾𝐾
(1)
𝑠𝑠𝑘𝑘(𝑘𝑘−1) + 𝑥𝑥𝑘𝑘𝑘𝑘 = 𝑑𝑑𝑘𝑘𝑘𝑘 + 𝑠𝑠𝑘𝑘𝑘𝑘 𝑡𝑡 ∈ 𝑇𝑇,𝑘𝑘 ∈ 𝐾𝐾 (2)
𝑠𝑠𝑘𝑘0 = 𝑎𝑎𝑘𝑘 𝑘𝑘 ∈ 𝐾𝐾 (3)
 
 
𝑥𝑥𝑘𝑘𝑘𝑘 ≤ 𝑀𝑀𝑘𝑘𝑘𝑘𝑦𝑦𝑘𝑘𝑘𝑘 𝑡𝑡 ∈ 𝑇𝑇,𝑘𝑘 ∈ 𝐾𝐾 (4) �𝑒𝑒𝑘𝑘𝑠𝑠𝑘𝑘𝑘𝑘 𝑘𝑘∈𝐾𝐾
≤ 𝐶𝐶 𝑡𝑡 ∈ 𝑇𝑇 (5)
𝑦𝑦𝑘𝑘𝑘𝑘 ∈ {0,1}
𝑡𝑡 ∈ 𝑇𝑇,𝑘𝑘 ∈ 𝐾𝐾 (6)
𝑥𝑥𝑘𝑘𝑘𝑘 , 𝑠𝑠𝑘𝑘𝑘𝑘 ≥ 0
𝑡𝑡 ∈ 𝑇𝑇,𝑘𝑘 ∈ 𝐾𝐾 (7)
In the above model, 𝑀𝑀𝑘𝑘𝑘𝑘 is the big-M value (9999999999).
The data for this problem are given in Inventory_problem.xlsx.
Question 2-Part a) Considering 𝑀𝑀𝑘𝑘𝑘𝑘 = 9999999999, report the Solution time, the obtained objective value, and the obtained solution.
Question 2-Part b) Considering 𝑀𝑀𝑘𝑘𝑘𝑘 = ∑ 𝑑𝑑𝑘𝑘𝑘𝑘′𝑘𝑘′∈𝑇𝑇:𝑘𝑘′≥𝑘𝑘 , report the Solution time, the obtained objective value, and the obtained solution. Note that 𝑀𝑀𝑘𝑘𝑘𝑘 = ∑ 𝑑𝑑𝑘𝑘𝑘𝑘′𝑘𝑘′∈𝑇𝑇:𝑘𝑘′≥𝑘𝑘 is not a constraint in the model. In fact, here we are tuning the values of 𝑀𝑀𝑘𝑘𝑘𝑘 with the hope that the model finds the solution faster. Question 2-Part c) The business owner has realized that he has two options;
1) pay $100,000 to increase the capacity of the warehouse by 10%. So, if he chooses this option the new capacity will be 1.1𝐶𝐶.
2) Does not pay this extra cost and stick the current warehouse and the obtained solution.
Which option do you recommend to the business owner?
 
Question 3- This question is about the Capacitated Facility Location Problem that is explained in the slides of the course. In a general case of this problem, different types of products 𝐾𝐾 = {1, … , |𝐾𝐾|} must be produced in facilities 𝐼𝐼 = {1, … , |𝐼𝐼|} and shipped to customers 𝐽𝐽 = {1, … , |𝐽𝐽|}. The following parameters and variable are used by an operations research analyst to formulate the problem:
Parameters: 𝑓𝑓𝑖𝑖 : The fixed cost of opening a facility at location 𝑖𝑖 ∈ 𝐼𝐼. 𝑐𝑐𝑘𝑘𝑖𝑖𝑗𝑗 The per-unit transportation cost of product 𝑘𝑘 from facility 𝑖𝑖 to customer 𝑗𝑗. 𝑑𝑑𝑘𝑘𝑗𝑗 : The demand of product 𝑘𝑘 by customer 𝑗𝑗. 𝑢𝑢𝑖𝑖 : The production capacity of facility 𝑖𝑖. 𝑎𝑎𝑘𝑘𝑖𝑖 : Amount of production capacity usage for one unit of product k in facility 𝑖𝑖.
 
Variables: 𝑧𝑧𝑖𝑖 : 1 if a facility is open at location 𝑖𝑖, 0 otherwise. 𝑥𝑥𝑘𝑘𝑖𝑖𝑗𝑗 : The amount of product 𝑘𝑘 shipped from facility 𝑖𝑖 to customer 𝑗𝑗.
Using this notation, the following model is proposed by the operations research analyst.
𝑚𝑚𝑖𝑖𝑚𝑚���𝑐𝑐𝑖𝑖𝑗𝑗𝑘𝑘𝑥𝑥𝑘𝑘𝑖𝑖𝑗𝑗 𝑗𝑗∈𝐽𝐽𝑖𝑖∈𝐼𝐼𝑘𝑘∈𝐾𝐾
+ �𝑓𝑓𝑖𝑖𝑧𝑧𝑖𝑖 𝑖𝑖∈𝐼𝐼
(1)
 
 
�𝑥𝑥𝑘𝑘𝑖𝑖𝑗𝑗 𝑖𝑖∈𝐼𝐼
= 𝑑𝑑𝑘𝑘𝑗𝑗 𝑗𝑗 ∈ 𝐽𝐽,𝑘𝑘 ∈ 𝐾𝐾
(2)
��𝑎𝑎𝑘𝑘𝑖𝑖𝑥𝑥𝑘𝑘𝑖𝑖𝑗𝑗 𝑗𝑗∈𝐽𝐽𝑘𝑘∈𝐾𝐾
≤ 𝑢𝑢𝑖𝑖 𝑖𝑖 ∈ 𝐼𝐼 (3)
𝑥𝑥𝑘𝑘𝑖𝑖𝑗𝑗 ≤ 𝑀𝑀𝑘𝑘𝑖𝑖𝑗𝑗𝑧𝑧𝑖𝑖 𝑡𝑡 ∈ 𝑇𝑇,𝑘𝑘 ∈ 𝐾𝐾 (4) 0 ≤ 𝑥𝑥𝑘𝑘𝑖𝑖𝑗𝑗 ≤ 𝑑𝑑𝑘𝑘𝑗𝑗 𝑘𝑘 ∈ 𝐾𝐾, 𝑖𝑖 ∈ 𝐼𝐼, 𝑗𝑗 ∈ 𝐽𝐽 (5) 𝑧𝑧𝑖𝑖 ∈ {0,1}
𝑡𝑡 ∈ 𝑇𝑇,𝑘𝑘 ∈ 𝐾𝐾 (6)
In (1), the objective function minimizes the total transportation of products plus the opening cost of facilities. Constraint (2) implies that demand of customer 𝑖𝑖 for product 𝑘𝑘 must be satisfied by the shipments from different facilities. Constraint (3) implies that the total production capacity in each facility is limited. Constraint (4) ensures that we can have production in a facility if that facility is open.
In the above model, 𝑀𝑀𝑘𝑘𝑖𝑖𝑗𝑗 is the big-M value (9999999999).
The data for this problem are given in Extended_CFLP.xlsx.
Question 3-Part a) Considering 𝑀𝑀𝑘𝑘𝑖𝑖𝑗𝑗 = 9999999999, report the Solution time, the obtained objective value, and the obtained solution.
Question 3-Part b) Considering 𝑀𝑀𝑘𝑘𝑖𝑖𝑗𝑗 = min ( 𝑢𝑢𝑖𝑖 𝑎𝑎𝑘𝑘𝑖𝑖
,𝑑𝑑𝑘𝑘𝑗𝑗), report the Solution time, the obtained objective
value, and the obtained solution. Note that 𝑀𝑀𝑘𝑘𝑖𝑖𝑗𝑗 = min ( 𝑢𝑢𝑖𝑖 𝑎𝑎𝑘𝑘𝑖𝑖
,𝑑𝑑𝑘𝑘𝑗𝑗) is not a constraint in the model. In
fact, here we are tuning the values of 𝑀𝑀𝑘𝑘𝑖𝑖𝑗𝑗 hoping that the model finds the solution faster.
Question 3-Part c) The business owner has realized that he has two options;
1) pay $300,000 to another company to satisfy the demands of all customers for product type 5. In this case, the business owner is not responsible to the transportation cost of that product, but must still minimize the total transportation cost of other products and also the opening of the facilities.
2) Does not pay this extra cost and stick the current plan and the obtained solution.
Which option do you recommend to the business owner?
 
Question 4- This question is about the Budgeted maximum coverage problem that is already explained in the slides of the course. The following parameters and variable are used by an operations research analyst to formulate the problem:
Sets: 𝐽𝐽 : The set of fire stations. 𝐼𝐼 : The set of communities.
 
Parameters: 𝑐𝑐𝑗𝑗 : The cost of opening fire station 𝑗𝑗.
 
 
𝐵𝐵 : The total available budget for opening fire stations. 𝑎𝑎𝑖𝑖𝑗𝑗 : 1 if fire station 𝑗𝑗 covers community 𝑖𝑖.
 
Variables: 𝑥𝑥𝑗𝑗 : 1 if fire station 𝑗𝑗 is opened; 0 otherwise. 𝑦𝑦𝑖𝑖 : 1 if community 𝑖𝑖 is covered, 0 otherwise.
Using this notation, the following model is proposed by the operations research analyst.
𝑚𝑚𝑎𝑎𝑥𝑥�𝑦𝑦𝑖𝑖 𝑖𝑖∈𝐼𝐼
(1)
�𝑐𝑐𝑗𝑗𝑥𝑥𝑗𝑗 𝑗𝑗∈𝐽𝐽
≤ 𝐵𝐵 (2)
𝑦𝑦𝑖𝑖 ≤�𝑎𝑎𝑖𝑖𝑗𝑗𝑥𝑥𝑗𝑗 𝑗𝑗∈𝐽𝐽
𝑖𝑖 ∈ 𝐼𝐼
(3)
𝑥𝑥𝑗𝑗 ∈ {0,1} 𝑗𝑗 ∈ 𝐽𝐽 (4) 𝑦𝑦𝑖𝑖 ∈ {0,1} 𝑖𝑖 ∈ 𝐼𝐼 (5)
 
The data for this problem are given in Budgeted_maximum_coverage_problem.xlsx.
What are the optimal solution and the optimal objective value?
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