Experts has received a consulting engagement from Sunny Service Station to design a system (simulation) that would help them predict gasoline demand, order quantity, and profits. Sunnys is a service station that sells gasoline to boat owners. The demand for gasoline depends on weather conditions and fluctuates according to the following distribution. Weekly Demand Probability 1000 .05 2000 .12 3000 .23 4000 .40 5000 .20 Shipments arrive once a week. Since Sunny is in a remote place, it must order and accept a fixed quantity of gasoline every week. Joe, the owner, faces the following problem: If he orders too small a quantity, he will lose, in terms of lost business and goodwill, 22 cents per gallon demanded and not provided. If he orders too large a quantity, he will have to pay 15 cents per gallon shipped back due to lack of storage. For each gallon sold he makes 85 cents profit. Now, Joe receives 3,600 gallons at the beginning of each week before he opens for business. He feels that he should receive more, maybe 3,700 or even 3,800 gallons. The tanks current capacity is 3,700 gallons. The problem is to find the best order quantity (you must answer this question at a minimum). Assume, Joe starts the first week off with 1500 gallons in beginning inventory. EOQ can not be used due to the unpredictability of the weather. This problem can be solved by trial and error over time. That is, the service station must order each quantity for approximately 10 weeks, then compare the results. However, a simulation can give an answer in a few minutes (this is a Monte Carlo simulation and requires random numbers). Furthermore, the results of the simulation will be much more accurate, since years of operations can be simulated rather than only 10 weeks. Also, the losses are not real, they are only on paper. (modified from Turban, MIS/Database texts). THE ENGAGEMENT: (1) Sunny wants IT Experts to design a simulation that would help them predict demand. This simulation should be flexible enough so if conditions change (for example, probabilities or if their tank size would increase) that Sunnys staff can modify the simulation based on new information. Include comments (written) within the cells and do not hardcode numbers within formulas. (2) They would also, like to see a graphical representation (vertical bar graph) of the simulated demand vs. the units sold AND a line graph of the weekly profit. (3) Also, they are looking at purchasing a new business, see sheet labeled Marins 12 Month Trend under Course Documents. The companys total costs and units of sales over the last 12 months are provided and they want you to run a regression analysis, so they can better understand the costs (numbers do not correlate with the above situationhowever, I want you to explore regression within Excelpost questions in the discussion board). Include as a separate worksheet (tab) within your file. (4) They require a training manual (documentation) in MSWord (1-2 pages in length). The manual (instructions) you would provide your client should describe how to use the file, modify the file, and interpret the data. Also, in your first paragraph you should tell your client what this system, which you just designed, will do for themits purpose. (5) The last thing they are requesting is a NPV analysis of a new tankif a new tank will cost $20,000 and increase net cashflow by $6,000 in the first year, and $5,200 for the next 4 years (years 2-5), should they invest in the tank if their discount rate is 10%? 15%? What is the internal rate of return?