number of cars shipped on day n. Specify a flow di- agram and a difference equation (in standard form) that describe together the number of cars shipped as a function of number of cars produced and the history of the number of cars shipped.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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BC:5.4 Let x[n] represent the number of automo-
biles produced by a factory on a given day, n. Let
the inventory (total number of completed cars at the
factory) at the end of day n be represented by q[n].
Each day the factory ships 5/6 of the previous day's
inventory and holds the remaining 1/6 of the previ-
ous day's inventory for one full day of driving tests.
The cars being tested on day n are included in the
inventory count for day n. The day after testing, all
of the tested cars are shipped. Let y[n] represent the
number of cars shipped on day n. Specify a flow di-
agram and a difference equation (in standard form)
that describe together the number of cars shipped
as a function of number of cars produced and the
history of the number of cars shipped.
Transcribed Image Text:BC:5.4 Let x[n] represent the number of automo- biles produced by a factory on a given day, n. Let the inventory (total number of completed cars at the factory) at the end of day n be represented by q[n]. Each day the factory ships 5/6 of the previous day's inventory and holds the remaining 1/6 of the previ- ous day's inventory for one full day of driving tests. The cars being tested on day n are included in the inventory count for day n. The day after testing, all of the tested cars are shipped. Let y[n] represent the number of cars shipped on day n. Specify a flow di- agram and a difference equation (in standard form) that describe together the number of cars shipped as a function of number of cars produced and the history of the number of cars shipped.
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