Pattern 12ft. 15ft. 30ft. trim loss 10 ft. 10 ft. 4 ft. 4 ft. 1 ft. 0 0 3 2 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). orders in hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 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 optimal solution: (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. if your answer is zero enter "o" and if the constant is "1" it must be entered in the box 0 x1 5670 1680 3350 12-foot rolls 15-foot rolls 30-foot rolls 0x3 x1, x2, x3, x4, x5 are integers