4.4 A check-processing center uses exponential smooth-ing to forecast the number of incoming checks each month. Thenumber of checks received in June was 40 million, while the fore-cast was 42 million. A smoothing constant of .2 is used.a) What is the forecast for July?b) If the center received 45 million checks in July, what would bethe forecast for August?c) Why might this be an inappropriate forecasting method forthis situation? Px.. 4.5 The Carbondale Hospital is considering the purchaseof a new ambulance. The decision will rest partly on the antici-pated mileage to be driven next year. The miles driven during thepast 5 years are as follows:YEAR12345a) Forecast the mileage for next year (6th year) using a 2-yearmoving average.b) Find the MAD based on the 2-year moving average. (Hint:You will have only 3 years of matched data.)c) Use a weighted 2-year moving average with weights of 4and .6 to forecast next year's mileage. (The weight of .6 isfor the most recent year.) What MAD results from using thisapproach to forecasting? (Hint: You will have only 3 years ofmatched data.)MILEAGE3,0004,0003,4003,8003,700d) Compute the forecast for year 6 using exponential smoothing,an initial forecast for year 1 of 3,000 miles, and a 5. Px4.6 The monthly sales for Yazici Batteries, Inc., were asfollows:MONTHJanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecemberSALES202115141316171820202123EloCPdC00abC.WabCde.CW a) Plot the monthly sales data.b) Forecast January sales using each of the following:i) Naive method.ii) A 3-month moving average.iii) A 6-month weighted average using .1, 1, 1, 2, .2, and 3.with the heaviest weights applied to the most recent months.iv) Exponential smoothing using an a = .3 and a Septemberforecast of 18.v) A trend projection.c) With the data given, which method would allow you to fore-cast next March's sales? P.. 4.7 The actual demand for the patients at OmahaEmergency Medical Clinic for the first 6 weeks of this year fol-lows:WEEK123456Clinic administrator Marc Schniederjans wants you to forecastpatient demand at the clinic for week 7 by using this data. Youdecide to use a weighted moving average method to find this fore-cast. Your method uses four actual demand levels, with weightsof 0.333 on the present period, 0.25 one period ago, 0.25 two peri-ods ago, and 0.167 three periods ago.a) What is the value of your forecast? Pxb) If instead the weights were 20, 15, 15, and 10, respectively, howwould the forecast change? Explain why.c) What if the weights were 0.40, 0.30, 0.20, and 0.10, respec-tively? Now what is the forecast for week 7?.4.8 Daily high temperatures in St. Louis for the last weekwere as follows: 93, 94, 93, 95, 96, 88, 90 (yesterday).a) Forecast the high temperature today, using a 3-day movingaverage.b) Forecast the high temperature today, using a 2-day movingaverage.c) Calculate the mean absolute deviation based on a 2-day mov-ing average.d) Compute the mean squared error for the 2-day moving average.e) Calculate the mean absolute percent error for the 2-day mov-ing average. PACTUAL NO. OFPATIENTS6562704863524.9 Lenovo uses the ZX-81 chip in some of its laptopcomputers. The prices for the chip during the past 12 months.were as follows:MONTHJanuaryFebruaryMarchAprilMayJunePRICE PERCHIP$1.801 July1.671.701.851.901.87MONTHAugustSeptemberOctoberNovemberDecemberPRICE PERCHIP1.801.831.701.651.701.75

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The above-given question is to check whether exponential smoothing is a good method for the given…