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- 3) a) i) Calculate the simple interest earned on a investment of $ 400,000 after 12 years at a rate of 3.5 %. ii) Calculate the time needed on an investment of $400,000 to gained an interest of $60,000 if the interest rate is 3%. b) 3 burgers and 2 drinks cost $35.00 2 burgers and 1 drink cost $22.00 What is the cost of each item? 4) a) 12 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 5 samples.How many different selections can a customer make? b) The following day 4 drink samples are add and customers are told that they can take 4 pastries samples and 2 drink samples. How many different selections does the customer now make?The table below contains monthly share prices for Pfizer Inc. (PFE) and Astrazeneca Plc. (AZN). It also contains the monthly prices for the S&P 5000 index (S&PCOMP). Date Time S&PCOMP PFE AZN 2/1/2019 0 2510.03 43.25 37.80 1/2/2019 1 2706.53 42.88 36.65 1/3/2019 2 2803.69 43.36 41.76 1/4/2019 3 2867.19 42.84 41.27 1/5/2019 4 2923.73 40.77 37.35 3/6/2019 5 2744.45 41.92 37.90 1/7/2019 6 2964.33 43.77 41.31 1/8/2019 7 2953.56 38.25 44.00 3/9/2019 8 2906.27 36.12 45.27 1/10/2019 9 2940.25 35.43 43.66 1/11/2019 10 3066.91 38.39 48.39 2/12/2019 11 3113.87 38.29 48.38 2/1/2020 12 3257.85 39.14 50.39 3/2/2020 13 3248.92 37.51 48.51 2/3/2020 14 3090.23 34.88 45.87 1/4/2020 15 2470.50 31.75 43.78 1/5/2020 16 2830.71 37.64 51.86 1/6/2020 17 3055.73 35.46 55.16 1/7/2020 18 3115.86 33.74 53.32 3/8/2020 19 3294.61 38.35 56.82 1/9/2020 20 3526.65 36.88 55.38 1/10/2020 21 3380.80 36.37 54.30 2/11/2020 22 3310.24 36.23 50.62 1/12/2020 23…Ajax has established a new sandwich shop format for airports and train stations.Here, the sandwitches are only made from a specially made,long,individual loaf of bread.But the innovations is that the sandwiches are not made ahead in large batches.Intead,a few of each variety of sandwich are made at a time,in the shop,with the result being a better ability to exactly match supply to demand. If prior to this change the shop has roughly 5 percent leftovers of one-half of the sandwich varieties each day,but could have sold 10 percent more of the two best sellers that day,what are the potential benefits of the new format if the store sells 12 different sandwiches each with an average demand of 20 per day?
- 43. The U.S. government wants to determine whetherimmigrants should be tested for a contagious disease,and it is planning to base this decision on financialconsiderations. Assume that each immigrant who isallowed to enter the United States and has the diseasecosts the country $100,000. Also, assume that eachimmigrant who is allowed to enter the United Statesand does not have the disease will contribute $10,000to the national economy. Finally, assume that x percentof all potential immigrants have the disease. The U.S.government can choose to admit all immigrants, admitno immigrants, or test immigrants for the diseasebefore determining whether they should be admitted. Itcosts T dollars to test a person for the disease, and thetest result is either positive or negative. A person who does not have the disease always tests negative. However, 10% of all people who do have the disease testnegative. The government’s goal is to maximize theexpected net financial benefits per potential…Dave Fletcher, the general manager of North Carolina Engineering Corporation (NCEC), thinks that his firm’s engineer-ing services contracted to highway construction firms are directly related to the volume of highway construction business contractedwith companies in his geographic area. He wonders if this is reallyso, and if it is, can this information help him plan his operationsbetter by forecasting the quantity of his engineering servicesrequired by construction firms in each quarter of the year? Thefollowing table presents the sales of his services and total amountsof contracts for highway construction over the past eight quarters: a) Using this data, develop a regression equation for predictingthe level of demand of NCEC’s services. b) Determine the coefficient of correlation and the standard errorof the estimate.Suppose 24% of students at Florida University are business students. Of those, 28% are Econ majors.What percent of Florida University students are Econ majors? Round your answer to three decimal places.
- Suppose that 2% of the employed lose their job each month. Further suppose that 25% of the unemployed find a job each month. a. What is the average duration of employment in this labor market? b. Do you think this is a reasonable figure given estimates of the natural rate? Why or why not? c. If you wanted to reduce the steady-state level of unemployment, what type of policies might you pursue and why?An investor has $70,000 to divide among several instruments. Municipal bonds have an 8.5% return, C D’s a 5% return, t-bills a 6.5% return, and growth stock 13%. The following guidelines have been established: No more than 20% in municipal bonds Investment in growth stock fund should be greater than other three alternatives. At least 10% invested in treasury bills and municipal bonds Less should be invested in treasury bills and growth stocks than in CDs and municipal bonds by a ratio of 1.2 to 1. All $70,000 should be invested. Formulate a model and solve it using computer. How should the $70,000 be allocated to each alternative to maximize annual return? What is the annual return? Notes: Attach a Linear Programming computer file of the solution (QM for Windows - save it as a ".lin" file). Mac computer file is not accepted. Attach a Word file to answer the questions: How should the $70,000 be allocated to each alternative to maximize annual return? What is the annual return?The price (in rands) in June of a 1 kg packet of laundry in KwaDukuza is shownis shown below for each 5 years.Year 2016 2017 2018 2019 2020Price 17.8 29.6 41.1 46.3 46.52.2.1 Find the percentage increase in the price of laundry detergent between eachperiod. (2)2.2.2 Use the 4 percentages in question 2.2.1 above, to calculate the overall geometricmean percentage increase in the price of laundry detergent each year. (3)2.2.3 Interpret the geometric mean calculated in 2.2.2 above.
- 11.1 The table showing the stock price changes for a sample of 12 companies on a day is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Company Price Change ($) Aflac 0.79 Bank of Am. 1.44 Cablevision -0.05 Diageo 0.93 Fluor Cp 0.42 Goodrich 0.20 John.&John. 1.33 Loews Cp 0.98 Nokia 2.36 SmpraEngy 0.51 Sunoco 0.29 Tyson Food 0.13 Open spreadsheet a. Compute the sample variance for the daily price change (to 4 decimals). b. Compute the sample standard deviation for the price change (to 4 decimals). c. Provide 95% confidence interval estimates of the population variance (to 4 decimals). _____<=Sigma^2<=______ d. Provide 95% confidence interval estimates of the population standard deviation (to 4 decimals). _____<=Sigma<=______4.29 Testing for Fibromyalgia: A patient named Diana was diagnosed with Fibromyalgia, a long-term syndrome of body pain, and was prescribed anti-depressants. Being the skeptic that she is, Diana didn't initially believe that antidepressants would help her symptoms. However after a couple months of being on the medication she decides that the antidepressants are working, because she feels like her symptoms are in fact getting better. (a) Write the hypotheses in words for Diana's skeptical position when she started taking the antidepressants. Ho: Ha: (b) What is a Type 1 Error in this context? (c) What is a Type 2 Error in this context?Consider again the scenario described in Problem 4. The Center for Business Analytics is considering a refund policy for no-shows. No refund would be given for members who do not attend, but nonmembers who do not attend will be refunded 50 percent of the price. Extend the model you developed in Problem 4 for the Business Intelligence Symposium to account for the fact that, historically, 25 percent of members who registered do not show and 10 percent of registered nonmembers do not attend. The Center pays the caterer for breakfast and lunch based on the number of registrants (not the number of attendees). However, the Center pays for parking only for those who attend.What is the profit if each corporate member registers their full allotment of tickets and 127 nonmembers register? Use a two-way data table to show how profit changes as a function of number of registered nonmembers and the no-show percentage of nonmembers. Vary the number of nonmember registrants from 80 to 160 in…