Freight car loadings over an 18-week period at a busy port are as follows: Weeks   Loadings (lbs)   Weeks   Loadings (lbs)    Weeks     Loadings (lbs)     1              370                 7                415               13              450     2              380                 8                425               14              455     3              390                 9                435               15              475     4              380                10               425               16              485     5              390                11               435               17              495     6              395                12               445               18              505 a. Determine a linear trend line for expected freight car loadings. b. Use the above trend equation to predict expected loadings for Weeks 20 & 21. c. The manager intends to install new equipment when the volume exceeds 950 loadings per week. Assuming the current trend continues, in which week (at the earliest) should the loading volume reach that level?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Freight car loadings over an 18-week period at a busy port are as follows:
Weeks   Loadings (lbs)   Weeks   Loadings (lbs)    Weeks     Loadings (lbs)
    1              370                 7                415               13              450
    2              380                 8                425               14              455
    3              390                 9                435               15              475
    4              380                10               425               16              485
    5              390                11               435               17              495
    6              395                12               445               18              505
a. Determine a linear trend line for expected freight car loadings.
b. Use the above trend equation to predict expected loadings for Weeks 20 & 21.
c. The manager intends to install new equipment when the volume exceeds 950 loadings per week. Assuming the current trend continues, in which week (at the earliest) should the loading volume reach that level?

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