Question

All I need is the Trim loss in part b

STAR Co. provides paper to smaller companies whose volumes 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 Number of: Pattern 12ft. 15ft. 30ft. Trim Loss 1 5 010 ft. 10 ft. 3 41 7ft. 4 4 3 2 4 ft. 5 2 5 01ft. 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 rols 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 X4 x5 In 10 10 12-foot rolls 15-foot rolls 30-foot rolls 5670 x4 2 X3 5 X1 1680 x4 5 X3 3350 3 X3 2 x4 X2 x1, x2, X3, X4, x5 are integers amount of trim loss? (b) Solve the model formulated in part a. What is the mini Trim Loss:

Answer 1

Answer = 7036 .......

Any problem in answer then comment below.. i will help you

For integer programming problem , we solve first by simplex method and then use branch and bound method...

After simplex method we get fimal optimal table is ..

리 Att n»フ

So by this we alreadg get integer solution.

.so we dont need branch and bound...

So we get solution ( 0 , 0 , 0 , 1675 , 336 ) .. and minimum cost = 7036