The service center at a large automobile dealership is trying to boost revenue by pro- viding no-appointment-necessary oil changes to any type of vehicle that stops by the service center. To quickly estimate the number of these oil changes that the service center can be expected to complete in the upcoming week, the service manager has been using simple exponential smoothing with an alpha value of 0.1. The number of no-appointment-necessary oil changes that the service center completed over the past 4 weeks is listed here: • 4 weeks ago: 25 • 3 weeks ago: 36 2 weeks ago: 33 Last week: 28 Last week, the service manager's forecast for the number of no-appointment- necessary oil changes was 32.20. a. What would be the service manager's forecast for this next week? b. What was the error in the service manager's forecast last week? c. Suppose the service manager decided to instead use a 3-week moving average. Now what would be the service manager's forecast for this next week?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
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The service center at a large automobile dealership is trying to boost revenue by pro-
viding no-appointment-necessary oil changes to any type of vehicle that stops by the
service center. To quickly estimate the number of these oil changes that the service
center can be expected to complete in the upcoming week, the service manager has
been using simple exponential smoothing with an alpha value of 0.1. The number
of no-appointment-necessary oil changes that the service center completed over the
past 4 weeks is listed here:
• 4 weeks ago: 25
• 3 weeks ago: 36
2 weeks ago: 33
Last week: 28
Last week, the service manager's forecast for the number of no-appointment-
necessary oil changes was 32.20.
a. What would be the service manager's forecast for this next week?
b. What was the error in the service manager's forecast last week?
c. Suppose the service manager decided to instead use a 3-week moving average.
Now what would be the service manager's forecast for this next week?
Transcribed Image Text:The service center at a large automobile dealership is trying to boost revenue by pro- viding no-appointment-necessary oil changes to any type of vehicle that stops by the service center. To quickly estimate the number of these oil changes that the service center can be expected to complete in the upcoming week, the service manager has been using simple exponential smoothing with an alpha value of 0.1. The number of no-appointment-necessary oil changes that the service center completed over the past 4 weeks is listed here: • 4 weeks ago: 25 • 3 weeks ago: 36 2 weeks ago: 33 Last week: 28 Last week, the service manager's forecast for the number of no-appointment- necessary oil changes was 32.20. a. What would be the service manager's forecast for this next week? b. What was the error in the service manager's forecast last week? c. Suppose the service manager decided to instead use a 3-week moving average. Now what would be the service manager's forecast for this next week?
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