Question
Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used resulting in 100-99
Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used resulting in 100-99 = 1 foot of trim loss). Demands this week are 5,686 12-foot rolls, 1,660 15-foot rolls, and 3,490 30-foot rolls. Develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern).
Number of: | ||||
Pattern | 12ft. | 15ft. | 30ft. | Trim Loss |
1 | 0 | 6 | 0 | 10 ft. |
2 | 0 | 0 | 4 | 11 ft. |
3 | 7 | 0 | 0 | 5 ft. |
4 | 2 | 1 | 2 | 1 ft. |
5 | 8 | 1 | 0 | 1 ft |
Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used resulting in 100-99 = 1 foot of trim loss). Demands this week are 5,686 12-foot rolls, 1,660 15-foot rolls, and 3,490 30-foot rolls. Develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern).
Optimal Solution:
Pattern | Number of Rolls Used |
---|---|
1 | |
2 | |
3 | |
4 | |
5 |
Trim Loss:____________feet
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