Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Please HELP with the red X's. Thanks. STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with
Please HELP with the red "X"'s. Thanks.
STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mil. 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 Number of: Pattern 12ft. 15ft. 30ft. Trim Loss 10 ft. 10 ft. 4 ft 4 ft 1 ft. 5 2 0 0 2 2 3 0 2 3 4 0 4 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 w 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 in 10 10 X1 X3 X4 5670 12-foot rolls 1680O 15-foot rolls -335030-foot rols 3 3 X4 4 X4 0 0 x4 x1, x2, x3, x4, x5 are integers (b) Solve the model formulated in part a. What is the minimal amount of trim loss? feet Trim Loss: 10380 How many of each pattern should be used and how many of each type of roll will be sold on the open market? If your answer is zero enter "O" Pattern Number Rolls Used 0 0 1675 4 920 0Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started