C&A Printing takes 10 seconds to print a page in color, but after 500 pages, the printer must be cooled down for 15 minutes. No pages can be printed while the printer is cooling down. C&A's demand rate is 10 pages per minute. What is the utilization of the printer?
C&A Printing takes 10 seconds to print a page in color, but after 500 pages, the printer must be cooled down for 15 minutes. No pages can be printed while the printer is cooling down. C&A's demand rate is 10 pages per minute. What is the utilization of the printer?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
I do not understand how 5.08 X 10=85 %. Please try to simplify an explanation for me, thanks.

Transcribed Image Text:Utilization
Flow rate
Process Capacity
Processing time
Cooling time
Cooling time
Time required for 500 pages
Time required for 500 pages + cooling time
Hour capacity
Process Capacity
Flow rate
Demand rate
Process Capacity
Minimum
Flow rate
Utilization
Flow rate
Processing time
Flow rate
Utilization
Calculations:
Flow rate * Processing time
Minimum (Demand rate, Process Capacity)
Total time/Processing time
10
15
900
5000
5900
1.639
305.08
5.08
Minimum (Demand rate, Process Capacity)
Pages per mins
Pages per mins
Pages per mins
Pages per mins
10
5.08
5.08
5.08
Sec
mins
Sec
(15*60)
mins
(500*10)
Sec
(5000+900)
Pages per mins (5900/3600)
Pages per hours
(500/1.639)
Pages per mins (305.08/60)
Flow rate * Processing time
Pages per mins
Sec
Pages per Sec
(10*0.085)
5.08
10
0.085
85%
So the Utilization of Printer is 85%

Transcribed Image Text:C&A Printing takes 10 seconds to print a page in color, but after 500 pages, the printer must be cooled down for 15 minutes. No
pages can be printed while the printer is cooling down. C&A's demand rate is 10 pages per minute. What is the utilization of the
printer?
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