Mathematics

A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has three types of food available, and each type contains the following amounts of these nutrients per ounce:Type A Type B Type CFolic acid (mg) 3 1 3Choline (mg) 4 2 4Inositol (mg) 3 2 4Suppose food type C has been improperly labeled, and it actually contains 4 mg of folic acid, 6 mg of choline, and 5 mg of inositol per ounce. Would it still be possible to use matrix inversion to find the combination of foods giving the required supply.2.5 Points

1a. What do you see as the management decision problem?1b. What is the resulting research problem?2a. Overall how satisfied are respondents with the cable service on average and in the various aspects of the Country Cable service? What informs your answer?2b. Based on your calculations, do you think the customers are satisfied with their Country Cable service? Describe the reason for your response.3. The cable company thinks it has to communicate differently to men and women and wonders if the key performance indicator (KPI) of overall satisfaction is different by gender. Articulate the null hypothesis and the alternative hypothesis Ho and Ha. What do the data say on this point? Can you accept or reject the null Ho? What statistical test informs your answer?4. If the company is concerned with weak performance on satisfaction, what do these data suggest it should focus on to improve satisfaction overall as captured in question q8. What is the null hypothesis and what is the alternative hypothesis?What aspects of satisfaction for the cable service are related to overall satisfaction (q1- q 6). Where can you accept or reject the null hypothesis? What do you think Country Cable should focus on to improve overall satisfaction? What statistical test informs your answer?5. Do you think Country Cable has addressed all their questions as a result of the ad campaign infrastructure changes and resulting survey? If you were to (re) design the study/survey, what would you do differently?

Mathematics II (Applied) —BESS Assignment 3Exercise 1 Consider the square matrixA =? ? 1 2 10 1 0 1 0 1? ?(a) Calculate the eigenvalues of A and decide whether the matrix is diagonalizable. Justify your answer. (b) Find the associated eigenspaces of A. (c) Write the eigendecomposition of the power matrix A3 and of the exponential matrix eA. (d) Consider the matrixB = A ·eAProve B is diagonalizable and find the diagonal matrix D similar to B.Exercise 2 Let b : R ? R. Consider the dynamical systemx? = x2b(t)(a) Provide a suffi cient condition for the function b : R ? R such that for every initial point (x0, t0) ? R2 there exists a unique solution of the IVP. Justify your answer. (b) Puttingb(t) = etcompute the general solution ?(t;c) of the ODE. (c) Find the particular solution ?? of the IVP with starting point (x0, t0) = (0,1) and specify its domain I ? R.

Considering Royal Hayat is based on Jabriya, explain in at least 500 words where you would put the facility to produce respirators. You have to discuss at least 5 factors and explain your reasoning by providing sufficient proof. You have to explain how you will bring the respirator, how will you make subcontracts, contracts with logistics, which road to use, lead times, raw materials to bring to your facility and so on. Your grade will be determined based on your ability to provide details and support of ideas. (50 Points)Important Note: Notice that based on your assumptions, design and thinking, each and every group gets different answers to these questions. Therefore, what you say, what you do, what you defend in your report is more important than simply obtaining an answer. Keep that in mind and always use systemic approach to this project, define your assumptions clearly and support them with your mind.The first factor is the integration management structure that includes all the activities involved in setting up the respirator assembly. It extends to the general infrastructure needed to meet the safety and quality requirements. In uwait it includes the medical device regulations defined by the Ministry of Health. Drug and Food control but in international terms it includes the necessary requirements from the World Health Organization. Additionally it includes the need to meet the quality control standards and the need to attain safety of consumer plus the use of such respirators in modern healthcare systems. Such medical requirement include the “Law of Soud Food and Drug Authority,” Article Five abbreviated as 25/1/1428H as issued from the Royal Decree. The regulations make it clear that Saudi Food and Drug Authority should monitor the health care equipment plus their conformity with their safe operation with other medical devices.The second factor is the scope associated with this respirator that includes the responsibilities of each stakeholder, healthcare providers handling the final respirators, the internal biomedical engineering department plus the requirements of all third part service contractors. Also it includes the manufactuer instructions for the PPM and CM, accuracy of the inventory information and maintenance management system, pre-installation and pre-procurement of medical devices, listing of manufactured respirators with market authorization or listing numbers, review of published data with respect to technical difficulties.The third factor is the resources associated in the assembly of this respirators; scheduling, human-related and organization. The scheduling includes the time frames needed to complete manufacturing the respirators in meeting the local and international demands. The human-resources includes the labor and compensation schemes of workers both technical and non-technical all working to deliver quality respirators for the public. The organizational includes the financial resources needed to set-up the infrastructure, train the team members, manage the sales, logistics and marketing ventures. In this part the most important factor is the source of these funds and direct/indirect costs involved in manufacturing the respirators.The fourth factor is the risk management involved in overcoming the manufacturing defect rates. It includes the technological/innovational risk associated with future improvement in the structure, aesthetics or working of the current respirators and how it should meet international expectations. Ethical and legal risks composed of the regulations, policies, and standards from a local, regional, and international perspective. The social/cultural risks attributed to various norms and practices by the citizens that affect directly or indirectly the finished product of these respirators. Finally, the economic risk that includes the competition from other manufacturing firms producing respirators.

Please answer the questions that were posed in VIDEO: Chapter 1: Introduction to Social Science Research Principles and Terminology and posted below.Each of you should offer feedback to at least one of your peers.1) Criminal Justice Populations: What are 2 populations of people, places, events, or institutions that we might want to study in criminal justice research? For these different populations identify your unit of analysis.2) Think about the populations you identified, how might you use these different methodologies to collect data on these populations?3) Create a list of 5 possible variables that we might collect data on in criminal justice research.4) How would you measure the different variables you identified? For example, the age of a person could be anywhere within the number range of 0 – 100.5) Identify the appropriate scale of measurement for your variables.6) Use two of your variables to create a research statements that hypothesize relationships, identifying the dependent and independent variables.

IndM5240 Assignment 7: – Unit Four, Five & Six AssignmentsAnswer the following questions from your course text bookChapter 14: Effects of Inflation14.1, 14.2, 14.8, 14.14, 14.26, 14.28, 14.39Chapter 18: Sensitivity Analysis and Expected Value Decisions18.2, 18.19, 18.30Chapter 19: Variation and Decision Making under Risk19.1, 19.2,You will solve these twelve questions and show details of your calculation (draw diagrams if it helps). Use MS Words, Time New Roman/Arial font 12. Submit your answers by May, 2 2010, as shown in the schedule via Digital Drop Box (Assignment Seven – Your Name). Since the assignment is more of calculation, you can also do it hand-written in a very legible black ink, Scan and post to the Digital Drop Box.

Apply elementary descriptive statistics, probability theories and quantitative methods in business in business decision making under risk and uncertainty.For the applied assignment, please submit a 5 – 6 slide PPT (NOT including title page and references page) that includes the following parts:PART 1: Create a context: Introduce a real-world business situation or an imagined business scenario that may benefit from the theories and methods presented in the prior two weeks (Weeks 3 and 4 – see the objective stated in bold above). While creating the context, ask yourself: What business use cases may benefit from the quantitative methods offered last week and this week? Pick one. You can use Google or other search tools, or your own workplace experience, to create the context. Once you decide on the context, describe it clearly in your PPT presentation. Be sure to deliver all relevant information for the audience (in this case your instructor) to help him/her understand the context fully.Part 2: Show with examples how the quantitative methodology introduced in the prior two weeks relate to the business use case you introduced. (e.g., does the math/methodology help to resolve a business problem?) Be specific in your description of how you can use the quantitative information in connection with the business case (your context) you described. Give examples. Use technical terminology when necessary.Part 3: Reflect on your learning by answering these questions: What changes have you observed in your own learning or knowledge of math/quantitative methods as a result of the topics introduced in Weeks 3 and 4 of this course? What did you find most valuable or useful for your MBA education and/or your current/future career. (As you articulate your thoughts for Part 3, be original: Do not repeat the business context or situation you described in Parts 1 and 2. Think beyond that context).

ECON 330 Midterm Take-home Exam due Friday, April 9 before classBe sure to submit both your answers and your .R file on Courses.Name:1. What determines how much drivers are fined if they are stopped for speeding? Do demographics like age, gender, and race matter? To answer this question, we’ll investigate traffice stops and citations in Massachusetts using data from Makowsky and Stratmann (2009). Even though state law sets a formula for tickets based on how fast a person was driving, police officers in practice often deviate from the formula. The variables we use are in Table 6.12. An amount for the fine is given only for observations in which the police officer decided to assess a fine.(a) Is the effect of age on fines non-linear? Assess this question by estimating a model with a linear age term and a quadratic age term, controlling for MPHover, Female, Black, and Hispanic. Interpret the coefficients on the age variables using calculus.(b) Calculate the marginal effect of age at ages 25, 45, and 60. Calculate the age that is associated with the lowest predicted fine.(c) Do drivers from out of town and out of state get treated differently? Do state police and local police treat nonlocals differently? Estimate a model that allows us to assess whether out-of-towners and out-of-staters are treated differently and whether state police respond differently to out-of-towners and out-of-staters. To do this, add to part (a) the dummy variables OutTown and OutState, along with two interaction variables that multiply StatePol with each of the dummy variables. Interpret the coefficients on the relevant variables.(e) Test whether the two state police interaction terms are jointly significant. Briefly explain the results.2. Use globaled.csv, the data set on education and growth from Hanushek and Woessmann (2009) for this question. The variables are given in the codebook provided and Table 5.14 in the textbook.(a) Use standardized variables to assess whether the effect of test scores on economic growth is larger than the effect of years in school. At this point, simply compare the magnitude of the coefficients. We’ll do statistical tests next. The dependent variable is average annual GDP growth per year. For all parts of this exercise, control for standardized GDP per capita in 1960 and always use standardized variables in all parts.(b) Now conduct a statistical test of whether the effects of test scores and years in school on economic growth differ. Write the null hypothesis that the coefficients are the same and the appropriate alternative hypothesis. What is your conclusion about the null hypothesis?(c) Now add controls for openness of the economy and security of property rights. Which matters more: test scores or property rights? Conduct a statistical test of whether the effects of test scores and property rights differ. Write the null hypothesis that the coefficients are the same and the appropriate alternative hypothesis. What is your conclusion about the null hypothesis?

1.Your grandmother is in the hospital. The dosages for some of the medications she receives are based on weight. For one medicine, you consult a resource that says the safe dose is 0.05 mg to 1 mg per kg. Your grandmother’s chart says the doctor has ordered 0.5 gram per dose.Has a mistake been made? Explain your answer, including your assumptions about your grandmother’s weight.2. When your grandmother gets out of the hospital she is so happy that she gives you some money. You decide to go to Vancouver where the exchange rate is 0.76 US dollars for every Canadian dollar (as of June 21, 2019). You have $1,000 US to take with you.a. What is the equivalent value in Canadian dollars? Round to the nearest dollar.b. Do you have enough money to stay a week in Vancouver? Why or why not? Give details of your estimated expenses.3.While in Canada you get sick and go to the emergency room of a local hospital. The doctor there diagnoses your illness and prescribes a dose of medicine that will cure you completely. The order is for 50 mg of the medicine. A nurse comes in with a liquid and you ask to see the bottle. The bottle says 100 mg of medicine per 15 ml of liquid.a. How many milliliters should the nurse give you?b. Would she need to bring that to you in a little cup, a glass, or a large bottle?5.After looking at your grocery list, you are concerned that you may not be able to afford the food you have chosen to provide enough protein for your diet. So, you decide to get the biggest bang for your buck by comparing the amount of protein for the price. In the table below, fill-in the column labeled Price per Gram of Protein. Write your answers in terms of dollars, rounded to four decimal places.Food ItemPriceServingsProtein Per Serving (in grams)Price Per Gram of ProteinPinto Beans$0.923.56Peanut Butter$5.48357Canned Chicken$1.18213Oat Cereal$3.842186. Using the table that you completed in the previous question, answer the following:a. Which item is the best purchase in terms of price per gram of protein?b. Were you surprised by any of your results? Explain your answer.4.The doctor says the reason you fell ill is that you have a protein deficiency. You need to determine how much protein you should consume daily and increase your consumption to the recommended amount. The recommended dietary allowance (RDA) of protein for adults is given by this graph:Graphically displays Recommended Daily Allowance Proteina. What is your weight, in kilograms? (if you are uncomfortable stating your weight, please state the weight of a hypothetical person instead).b. What is your recommended daily allowance for protein, expressed in grams per day?

You have been hired by the D. M. Pan National Real Estate Company to develop a model to predict median housing prices for homes sold in 2019. The CEO of D. M. Pan wants to use this information to help their real estate agents better determine the use of square footage as a benchmark for listing prices on homes. Your task is to provide a report predicting the median housing prices based square footage. To complete this task, use the provided real estate data set for all U.S. home sales as well as national descriptive statistics and graphs provided.DirectionsUsing the Project One Template located in the What to Submit section, generate a report including your tables and graphs to determine if the square footage of a house is a good indicator for what the listing price should be. Reference the National Statistics and Graphs document for national comparisons and the Real Estate County Data spreadsheet (both found in the Supporting Materials section) for your statistical analysis.Describe the report: Give a brief description of the purpose of your report.Define the question your report is trying to answerExplain when using linear regression is most appropriate.When using linear regression, what would you expect the scatterplot to look like?Explain the difference between response and predictor variables in a linear regression to justify the selection of variables.Data Collection