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(20) Problem 8/Ch 11, p.278. At the ABC Floral Shop, an argument developed betwe

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Question

(20) Problem 8/Ch 11, p.278. At the ABC Floral Shop, an argument developed between two of the owners, Bob and Henry, over the accuracy of forecasting methods. Bob argued that exponential smoothing with a = .1 would be the best method. Henry argued that the shop would get a better forecast with a =.3.

Calculate forecasts of the product using a three and five periods moving average, and graph the forecasts and demand using excel.

< > Using F1 =100 and the data, which of the two managers is right? You must provide detailed reasoning to support your answer.

Day 1 demand=200

day 2 demand= 134

day3 demand =147                                                                                                                                                           

day4 demans =165

day5 demand =183

day 6 demand =125

day 7 demand =146

day 8 demand= 154

day 9 demand = 182

day 10 demand = 197

day 11 demand = 132

day 12 demand = 163

day 13 demand = 157

day 14 demand = 169

Explanation / Answer

based on 3 period moving averages, the estimated demand will be:

day4= 200+134+147= 481/3= 160

D5= 134+147+165= 446/3= 149

D6= 147+165+183= 495/3=165

D7= 165+183+125= 473/3=158

D8= 183+125+146= 454/3=151

D9= 125+146+154= 425/3= 142

D10=146+154+182= 482/3=161

D11= 154+182+197=533/3=178

D12= 182+197+132=511/3=170

D13=197+132+163=492/3=164

D14= 132+163+157=452/3=151

D15=163+157+169=489/3=163

Based on 5 period moving average the estimated demands are

D6= 200+134+147+165+183= 829/5=166

D7= 134+147+165+183+125=754/5=151

D8=147+165+183+125+146=774/5=154

D9=165+183+125+146+154=773/5=155

D10=183+125+146+154+182=790/5=158

D11=125+146+154+182+197=804/5=161

D12= 146+154+182+197+132=811/5=162

D13=154+182+197+132+163=828/5=166

D14=182+197+132+163+157=841/5=168

D15=197+132+163+157+168=817/5163

Usually the higher moving average will be better one, in this example also 5 period moving average is better.