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You are trying to forecast the future production cost in your department. You observed that in the last seven months your costs were as follows: Month 1 2 3 4 5 6 7 Cost $1000 900 846 810 783 762 744 Moreover, you discovered that your department has a learning curve of 90% with regard to cutting cost, and improving productivity. (a) Forecast the cost in the 8th month. (b) The planning department has announced that the forecasted cumulative cost of the next planning horizon starting from month 8 will be $4207. What is the length of the next planning horizon? (c) If the forecasting error variance of the last 7 months is 17.5, can you estimate the MAD of the last 7 months? If so, what is its value?

You are trying to forecast the future production cost in your department. You observed that in the last seven months your costs were as follows: Month 1 2 3 4 5 6 7 Cost $1000 900 846 810 783 762 744 Moreover, you discovered that your department has a learning curve of 90% with regard to cutting cost, and improving productivity. (a) Forecast the cost in the 8th month. (b) The planning department has announced that the forecasted cumulative cost of the next planning horizon starting from month 8 will be $4207. What is the length of the next planning horizon? (c) If the forecasting error variance of the last 7 months is 17.5, can you estimate the MAD of the last 7 months? If so, what is its value?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section: Chapter Questions
Problem 41P
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You are trying to forecast the future production cost in your department. You observed that in the last seven months your costs were as follows: Month 1 2 3 4 5 6 7 Cost $1000 900 846 810 783 762 744 Moreover, you discovered that your department has a learning curve of 90% with regard to cutting cost, and improving productivity. (a) Forecast the cost in the 8th month. (b) The planning department has announced that the forecasted cumulative cost of the next planning horizon starting from month 8 will be $4207. What is the length of the next planning horizon? (c) If the forecasting error variance of the last 7 months is 17.5, can you estimate the MAD of the last 7 months? If so, what is its value?
Transcribed Image Text:You are trying to forecast the future production cost in your department. You observed that in the last seven months your costs were as follows: Month 1 2 3 4 5 6 7 Cost $1000 900 846 810 783 762 744 Moreover, you discovered that your department has a learning curve of 90% with regard to cutting cost, and improving productivity. (a) Forecast the cost in the 8th month. (b) The planning department has announced that the forecasted cumulative cost of the next planning horizon starting from month 8 will be $4207. What is the length of the next planning horizon? (c) If the forecasting error variance of the last 7 months is 17.5, can you estimate the MAD of the last 7 months? If so, what is its value?
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ISBN:
9781337406659
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