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19 February, 19:02

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 3 pages per minute. What is the smallest batch size to ensure the process is demand-constrained?

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  1. 19 February, 21:12
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    Answer: 50%

    Explanation:

    Demand rate of C and A = 3 pages per minute

    Time to print 500 papers = 168 min 10 seconds

    As after every 168 minutes and 10 seconds, printer will be cooled down for 15 minutes

    1 paper takes 10 seconds to print

    In a minute, printer runs for 30 seconds

    But Printer runs only for 30 seconds to print 3 papers in total time of 60 seconds per minute

    Hence, Utilization = (30/60) * 100

    = 50%
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