Compute how many more feet were cut than needed

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A paper mill received three orders: one for 100 ft of 5 ft wide paper, one for 300 ft of 7 ft wide paper and one for 200 ft of 9 ft wide paper. The orders will be filled by cutting from either a 10 ft or a 20 ft very long roll of paper using some combination of the patterns listed below:

Patttern Designation 5' 7' 9'
x11 2 0 0
x12 0 1 0
x13 0 0 1
x21 4 0 0
x22 2 1 0
x23 2 0 1
x24 1 2 0
x25 0 1 1
x26 0 0 2

The patterns having a "1" as their first digit (e.g. x12) are cut from 10 ft. wide rolls.

The patterns having 2 as their first digit are cut from 20 ft. wide rolls. Set up and run the LP to minimize trim waste measured in square feet.

For each size required (5, 7 and 9 feet) compute how many more feet were cut than needed.

Please include code using LINDO.

Reference no: EM131893100

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