STAR Co, provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands for these widths vary from week to week. The following cutting patterns have been established Pattern Number 12-11 15-ft 30-ft Trim Loss (1) 1 6 0 10 2 0 0 3 10 3 0 0 4 3 0 2 5 7 1 0 1 Trim loss is the leftover paper from a pattern (eg, for pattern 4,312) +015) + 30) 96 feet used results in 100 - 964 foot of trim oss). Orders in hand for the coming werk are 5,660 12. foot rolls, 1,670 15-foot rolls, and 3,340 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price No inventory is held () Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five patterns in order to minimize trim oss(let P, number of rollis cut into pattern for 1,2,3,4,5) Hin 12 15. 30-t PPP, PPs 20 (D) Solve the model formulated in part (s). What is the imal amount of tim oss nu? How many of each pattern should be used Pattern Petter 2 rolls Patterns ros (6) Solve the model formulated in part (a). What is the minimal amount of trim loss (in ft)? ft How many of each pattern should be used I Pattern 1 rolls Pattern 2 rolls Pattern 3 rolls Pattern 4 rolls rolls Pattern 5 How many of each type of roll will be sold on the open market? 12-ft rolls 15-ft rolls 30-ft rolls Need Help? Read STAR Co provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill STAR receives 100 feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands for these widths vary from week to week. The following cutting patterns have been established Pattern Number 12-ft 15-ft 30-Ft Trim Loss (1) 1 0 6 0 10 2 0 D 3 10 3 8 0 4 oo 4 2 4 inn 5 1 1 Trim loss is the leftover paper from a pattern (eg, for pattern 4, 3(12) +0(15) 2(30) - 96 feet used results in 100 - 96 4 foot of trim foss). Orders in hand for the coming week are 5.660 12- foot rolls, 1,670 15-foot rolls, and 3.040 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price. No inventory held (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five patterns in order to minimize trim fons. Let P, number of rolls out into pattern , for- 1,2,3,4,5) Min st 12-1 15-ft 30-Ft STAR Co, provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands for these widths vary from week to week. The following cutting patterns have been established Pattern Number 12-11 15-ft 30-ft Trim Loss (1) 1 6 0 10 2 0 0 3 10 3 0 0 4 3 0 2 5 7 1 0 1 Trim loss is the leftover paper from a pattern (eg, for pattern 4,312) +015) + 30) 96 feet used results in 100 - 964 foot of trim oss). Orders in hand for the coming werk are 5,660 12. foot rolls, 1,670 15-foot rolls, and 3,340 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price No inventory is held () Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five patterns in order to minimize trim oss(let P, number of rollis cut into pattern for 1,2,3,4,5) Hin 12 15. 30-t PPP, PPs 20 (D) Solve the model formulated in part (s). What is the imal amount of tim oss nu? How many of each pattern should be used Pattern Petter 2 rolls Patterns ros (6) Solve the model formulated in part (a). What is the minimal amount of trim loss (in ft)? ft How many of each pattern should be used I Pattern 1 rolls Pattern 2 rolls Pattern 3 rolls Pattern 4 rolls rolls Pattern 5 How many of each type of roll will be sold on the open market? 12-ft rolls 15-ft rolls 30-ft rolls Need Help? Read STAR Co provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill STAR receives 100 feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands for these widths vary from week to week. The following cutting patterns have been established Pattern Number 12-ft 15-ft 30-Ft Trim Loss (1) 1 0 6 0 10 2 0 D 3 10 3 8 0 4 oo 4 2 4 inn 5 1 1 Trim loss is the leftover paper from a pattern (eg, for pattern 4, 3(12) +0(15) 2(30) - 96 feet used results in 100 - 96 4 foot of trim foss). Orders in hand for the coming week are 5.660 12- foot rolls, 1,670 15-foot rolls, and 3.040 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price. No inventory held (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five patterns in order to minimize trim fons. Let P, number of rolls out into pattern , for- 1,2,3,4,5) Min st 12-1 15-ft 30-Ft
