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