(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 loss, (Let Pi= number of rolls cut into pattern i, for i=1,2,3,4,5.) Min s.t. 12ft 15-ft 30ft P1,P2,P3,P4,P50 (b) 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? Pattern 1 rolls Pattern 2 rolls Pattern 3 rolls Pattern 4 rolls Pattern 5 rolls How many of each type of roll will be sold on the open market? 12ft rolls 15ft rolls 30ft rolls (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 loss, (Let Pi= number of rolls cut into pattern i, for i=1,2,3,4,5.) Min s.t. 12ft 15-ft 30ft P1,P2,P3,P4,P50 (b) 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? Pattern 1 rolls Pattern 2 rolls Pattern 3 rolls Pattern 4 rolls Pattern 5 rolls How many of each type of roll will be sold on the open market? 12ft rolls 15ft rolls 30ft rolls