The following table gives the number of pints of type A blood used at Damascus H

Question

The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: Week Of August 31 September 7 September 14 September 21 September 28 October 5 Pints Used 360 389 412 381 368 378 a) The forecasted demand for the week of October 12 using a 3-week moving average pints (round your response to two decimal places). b) Using a 3-week weighted moving average, with weights of 0.15, 0.25, and 0.60, using 0.60 for the most recent week, the forecasted demand for the week of October 12 pints (round your response to two decimal places and remember to use the woights in appropriate order-the largest weight applies to most recent period and smalloest woight applies to oldest period.)

Explanation / Answer

a) 3-Week Moving Average Forecast (Oct 12) = (378+368+381)/3 = 375.67 pints

b) 3-Week Weighted Moving Average (Oct 12) = (0.6*378)+(0.25*368)+(0.15*381) = 375.95 pints

c) Exponential smoothing with = 0.3 and FAug 31 = 360

FSep21 = FSep14 + 0.3*(ASep14 - FSep14) = 368.7+0.3*(412-368.7) = 381.69

FSep28 = FSep21 + 0.3*(ASep21 - FSep21) = 381.69+0.3*(381-381.69) = 381.48

FOct5 = FSep28 + 0.3*(ASep28 - FSep28) = 381.48+0.3*(368-381.48) = 377.44

FOct12 = FOct5 + 0.3*(AOct5 - FOct5) = 377.44+0.3*(378-377.44) = 377.61 pints

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