What will be maximum stock during the day

Saif ur Rehman

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Feb 25, 2016
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I work in dispatch hall of a bike factory.

At factory we assemble one bike per 18 seconds. so i receive one bike after each 18 seconds. We have to put covering on bike before dispatch and we take 26 seconds to put a cover on bike

Bikes are coming 8 seconds faster then delivery, so definitely stock of bikes will keep increasing,

We produce 500 bikes per day, what is maximum space required for dispatch hall.
 
I work in dispatch hall of a bike factory.

At factory we assemble one bike per 18 seconds. so i receive one bike after each 18 seconds. We have to put covering on bike before dispatch and we take 26 seconds to put a cover on bike

Bikes are coming 8 seconds faster then delivery, so definitely stock of bikes will keep increasing,

We produce 500 bikes per day, what is maximum space required for dispatch hall.
What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

Hint:
\(\displaystyle Incoming\, =\,
\begin{cases}
t/18& 0\, \le\, t\, \le\, 500*18\\
0& 500 * 18\, \lt\, t \le\, 500*26
\end{cases}
\)
That is, a bike is assembled every 18 seconds until 500 are assembled. Then no more are assembled up to the time 500 bikes are covered. Now do the same sort of thing for Outgoing to get
Overflow = Incoming - Outgoing
Now find the the maximum of Overflow
 
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