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Rutgers University, Camden *
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010
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Industrial Engineering
Date
Jan 9, 2024
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docx
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2
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Case Study: Workload Balancing
Digital Imaging produces printers – DI-910 and DI-950. The first one produces a 4 by 6
centimeter print in 37 seconds, while the second one produces a 13 by 19 centimeter print in the
same time period. The profit contributions are $42 per DI-910 and $87 per DI-950. Production is
automated across two assembly lines. Line 1 requires 3 minutes per DI-910 and 6 minutes per
DI-950. Line 2 requires 4 minutes per DI-910 and 2 minutes per DI-950. Both lines operate 8
hours per day. The purpose of this assessment is to determine the maximal profit contribution.
The total number of time in production for each printer is 7 minutes (DI-910) and 8
minutes (DI-950). With a maximum minute allotment of 480 (60 x 8), 68 DI-910 can be
produced per day ($2,856) or 80 DI-950 can be produced per day ($5,220 profit). To maximize
profit, no DI-910 should be produced. If there must be equal number of printers produced, 32
each should be produced. For DI-910, the production time spent would be 224 minutes and
$1,344 would be contributed. For DI-950, the production time spent would be 256 minutes and
$2,784 would be contributed for a total of $4,128 profit contribution per day. The difference in
production time would note a difference of 32 minutes per day. If there were no requirement to
have even production between the two options, but that both must be produced and the difference
be 30 minutes or less, the company should produce 33 DI-910 (231 minutes; $1,386 profit) and
31 DI-950 (248 minutes; $2,697 profit), leading to a difference of 17 minutes in production time,
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but a total profit contribution of $4,083. This difference is only slightly lower than that of the
prior scenario. The options listed here are summarized below:
Option 1: 68 DI-910
Option 2: 80 DI-950
Option 3: 32 each of DI-910 and DI-950
Option 4: 33 DI-910 and 31 DI-950
The greatest profit, by option, is Option 2 ($5,220), Option 3 ($4,128), Option 4 ($4,083), and
Option 1 ($2,856). The following table shows these options based on the different lines.
Line 1
Line 2
DI-910
DI-950
DI-910
DI-950
Option 1
204
0
204
272
0
272
Option 2
0
480
480
0
160
160
Option 3
96
192
288
128
64
192
Option 4
99
186
285
132
62
194
When considering the individual lines, only the second option is truly optimal in the first line. If
focusing on balance, the third and fourth options are identical. However, because there is a need
to maximize profit and balance the load, the company would be best served by taking advantage
of either option 3 or 4, which would garner them similar profitability, albeit less than if only
producing one printer.
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