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STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing...

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General Management

STAR Co. provides paper to smaller companies whose volumes arenot large enough to warrant dealing directly with the paper mill.STAR receives 100-feet-wide paper rolls from the mill and cuts therolls into smaller rolls of widths 12, 15, and 30 feet. The demandsfor these widths vary from week to week. The following cuttingpatterns have been established:

Numberof:
Pattern12ft.15ft.30ft.Trim Loss
106010 ft.
200310 ft.
38004 ft.
42121 ft.
57101 ft.

Trim loss is the leftover paper from a pattern (e.g., forpattern 4, 2(12) + 1(15) + 2(30) = 99 feet used resulting in 100-99= 1 foot of trim loss). Demands this week are 5,670 12-foot rolls,1,680 15-foot rolls, and 3,350 30-foot rolls. Develop anall-integer model that will determine how many 100-foot rolls tocut into each of the five patterns in order to meet demand andminimize trim loss (leftover paper from a pattern).

Optimal Solution:

PatternNumber RollsUsed
1
2
3
4
5

Trim Loss:  feet

Answer & Explanation Solved by verified expert
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