Minimum of five pages including a cover page with all necessary info. Clearly identify the Case Problem # and titles.  Include a reference page. The main body should clearly address all questions asked in the managerial report of the two case problems. This essay should reflect scholarly writing and current APA standards and must include citations to support the ideas. Final Project Part A, select one of the cases from the list below  Ch. 4 Linear Programming Applications in Marketing, Finance, and Operations Management: Case#1 Case Problem 1 Planning an Advertising Campaign The Flamingo Grill is an upscale restaurant located in St. Petersburg, Florida. To help plan an advertising campaign for the coming season, Flamingo’s management team hired the advertising firm of Haskell & Johnson (HJ). The management team requested HJ’s recommendation concerning how the advertising budget should be distributed across television, radio, and online advertisements. The budget has been set at $279,000. In a meeting with Flamingo’s management team, HJ consultants provided the following information about the industry exposure effectiveness rating per ad, their estimate of the number of potential new customers reached per ad, and the cost for each ad: Advertising Media | Exposure Rating per Ad | New Customers per Ad | Cost per Ad Television | 90 | 4,000 | $10,000 Radio | 25 | 2,000 | $ 3,000 Online | 10 | 1,000 | $ 1,000 The exposure rating is viewed as a measure of the value of the ad to both existing customers and potential new customers. It is a function of such things as image, message recall, visual and audio appeal, and so on. As expected, the more expensive television advertisement has the highest exposure effectiveness rating along with the greatest potential for reaching new customers. At this point, the HJ consultants pointed out that the data concerning exposure and reach were only applicable to the first few ads in each medium. For television, HJ stated that the exposure rating of 90 and the 4000 new customers reached per ad were reliable for the first 10 television ads. After 10 ads, the benefit is expected to decline. For planning purposes, HJ recommended reducing the exposure rating to 55 and the estimate of the potential new customers reached to 1500 for any television ads beyond 10. For radio ads, the preceding data are reliable up to a maximum of 15 ads. Beyond 15 ads, the exposure rating declines to 20 and the number of new customers reached declines to 1200 per ad. Similarly, for online ads, the preceding data are reliable up to a maximum of 20; the exposure rating declines to 5 and the potential number of new customers reached declines to 800 for additional ads. Flamingo’s management team accepted maximizing the total exposure rating, across all media, as the objective of the advertising campaign. Because of management’s concern with attracting new customers, management stated that the advertising campaign must reach at least 100,000 new customers. To balance the advertising campaign and make use of all advertising media, Flamingo’s management team also adopted the following guidelines: Use at least twice as many radio advertisements as television advertisements. Use no more than 20 television advertisements. The television budget should be at least $140,000. The radio advertising budget is restricted to a maximum of $99,000. The online budget is to be at least $30,000. HJ agreed to work with these guidelines and provide a recommendation as to how the $279,000 advertising budget should be allocated among television, radio, and online advertising. Managerial Report Develop a model that can be used to determine the advertising budget allocation for the Flamingo Grill. Include a discussion of the following in your report: A schedule showing the recommended number of television, radio, and online advertisements and the budget allocation for each medium. Show the total exposure and indicate the total number of potential new customers reached. How would the total exposure change if an additional $10,000 were added to the advertising budget? A discussion of the ranges for the objective function coefficients. What do the ranges indicate about how sensitive the recommended solution is to HJ’s exposure rating coefficients? After reviewing HJ’s recommendation, the Flamingo’s management team asked how the recommendation would change if the objective of the advertising campaign was to maximize the number of potential new customers reached. Develop the media schedule under this objective. Compare the recommendations from parts 1 and 4. What is your recommendation for the Flamingo Grill’s advertising campaign? Final Project Part B, select one of the cases from the list below Ch.10 Inventory Models: Case#1 Case Problem 1 Wagner Fabricating Company Managers at Wagner Fabricating Company are reviewing the economic feasibility of manufacturing a part that the company currently purchases from a supplier. Forecasted annual demand for the part is 3200 units. Wagner operates 250 days per year. Wagner’s financial analysts established a cost of capital of 14% for the use of funds for investments within the company. In addition, over the past year $600,000 was the average investment in the company’s inventory. Accounting information shows that a total of $24,000 was spent on taxes and insurance related to the company’s inventory. In addition, an estimated $9000 was lost due to inventory shrinkage, which included damaged goods as well as pilferage. A remaining $15,000 was spent on warehouse overhead, including utility expenses for heating and lighting. An analysis of the purchasing operation shows that approximately two hours are required to process and coordinate an order for the part regardless of the quantity ordered. Purchasing salaries average $28 per hour, including employee benefits. In addition, a detailed analysis of 125 orders showed that $2375 was spent on telephone, paper, and postage directly related to the ordering process. A one-week lead time is required to obtain the part from the supplier. An analysis of demand during the lead time shows it is approximately normally distributed with a mean of 64 units and a standard deviation of 10 units. Service-level guidelines indicate that one stock-out per year is acceptable. Currently, the company has a contract to purchase the part from a supplier at a cost of $18 per unit. However, over the past few months, the company’s production capacity has been expanded. As a result, excess capacity is now available in certain production departments, and the company is considering the alternative of producing the parts itself. Forecasted utilization of equipment shows that production capacity will be available for the part being considered. The production capacity is available at the rate of 1000 units per month, with up to five months of production time available. Management believes that with a two-week lead time, schedules can be arranged so that the part can be produced whenever needed. The demand during the two-week lead time is approximately normally distributed, with a mean of 128 units and a standard deviation of 20 units. Production costs are expected to be $17 per part. A concern of management is that setup costs will be substantial. The total cost of labor and lost production time is estimated to be $50 per hour, and a full eight-hour shift will be needed to set up the equipment for producing the part. Managerial Report Develop a report for management of Wagner Fabricating that will address the question of whether the company should continue to purchase the part from the supplier or begin to produce the part itself. Include the following factors in your report: An analysis of the holding costs, including the appropriate annual holding cost rate An analysis of ordering costs, including the appropriate cost per order from the supplier An analysis of setup costs for the production operation A development of the inventory policy for the following two alternatives: Ordering a fixed quantity Q from the supplier Ordering a fixed quantity Q from in-plant production Include the following in the policies of parts 4(a) and 4(b): Optimal quantity Q* Number of order or production runs per year Cycle time Reorder point Amount of safety stock Expected maximum inventory Average inventory Annual holding cost Annual ordering cost Annual cost of the units purchased or manufactured Total annual cost of the purchase policy and the total annual cost of the production policy Make a recommendation as to whether the company should purchase or manufacture the part. What savings are associated with your recommendation as compared with the other alternative?

Assignment 2: t Tests in PracticeThe practice of quantitative research not only involves statistical calculations and formulas but also involves the understanding of statistical techniques related to real world applications. You might not become a quantitative researcher nor use statistical methods in your profession, but as a consumer, citizen, and scholar-practitioner, it will be important for you to become a critical consumer of research, which will empower you to read, interpret, and evaluate the strength of claims made in scholarly material and daily news.For this Assignment, you will critically evaluate a scholarly article related to t tests.To prepare for this Assignment:Search for and select a quantitative article specific to your discipline and related to t tests. Help with this task may be found in the Course guide and assignment help linked in this week’s Learning Resources.For this Assignment:Write a 2- to 3-page critique of the article. In your critique, include responses to the following:Why did the authors use this t test?Do you think it’s the most appropriate choice? Why or why not?Did the authors display the data?Do the results stand alone? Why or why not?By Day 7Submit Assignment 2: t tests in Practice.

Please answer the attached basic stats questions and use R programming for the questions 5 and 6Question 1. [20 points] The distribution of automobile speeds on a certain highway is normally distributed with a mean of 71.6 miles/hour, and a standard deviation of 4.53 miles/hour. (a) What is the probability that an automobile travels slower than 75 miles/hour? (b) What is the probability that an automobile travels faster than 65 miles/hour? (c) What is the probability that an automobile travels between 65 and 75 miles/hour? (d) What is the 90th percentile for the speeds of automobiles on this highway? 2 Question 2. [10 points] Let X1, X2, · · · , X100 be a random sample of size n = 100 from a population with mean µ = 20 and σ = 15. Let X¯ = 1 100 P100 i=1 Xi . (a) What is E(X¯) and SD(X¯) (i.e., the mean and standard deviation of the sampling distribution for X¯)? (b) What distribution does the sample mean X¯ follow? Explain. (c) Calculate P(X >¯ 23) Question 3. [10 points] From past experience, it is known that the number of tickets purchased by each customer standing in line at the ticket window at a certain movie theater follows a distribution with mean µ = 1.5 and standard deviation σ = 0.6. Suppose that there are 40 customers waiting in line to get tickets before the start of a movie. If only 55 tickets remain, what is the probability that all 40 customers will be able to purchase the tickets they desire? Question 4.[10 points] Mark the following as either True or False. (a) The mean and median are usually approximately equal when the distribution of data in a histogram is skewed right. (b) The daily commute for an employee takes an average of 1.3 hours with a standard deviation of 0.45 hours. When converting from hours to minutes, the average commute time is 78 minutes with a standard deviation of 27 minutes. (c) The following scenario is an example of stratified random sampling: A polling agency is interested in determining how concerned adult Americans are about the coronavirus’s effect on the economy. The agency decides to interview a simple random sample of adults from each state. The number of adults sampled in each state is proportional to the population size of each state. (d) The following scenario is an example of simple random sampling: An administrator at a University is interested in conducting a survey to investigate how students are adapting to online instruction. The administrator decides to sample every 10th student from an alphabetical listing of all students that attend the University. (e) Observational studies can be used to infer cause-and-effect relationships between variables. Question) Let X1, X2, · · · , Xn be independent and identically distributed (i.i.d.) random variables. Let E(Xi) = µ and V ar(Xi) = σ 2 . Let T = Pn i=1 Xi . Show that E(T) = nµ and V ar(T) = nσ2 .