Cutting carpet, area help needed

Hi all, I’ve just started working at a company that sells carpet. They want to find an optimum way to cut the carpet based on the available rolls in the factory without any wastage.

Roll lengths: 25.6m 25.7m 25.2m 25.2m 

So each roll is a different length, but the same width (4m).

The sizes required to cut are:

Cut length: 9m 9m 5m 6m 7.2m 7.2m 10m 6.3m 6.3m 11m 11m 10m 7.7m 8.3m 

Is there a formula that could be used, to find out which cut sizes match the roll sizes best (with as little waste as possible).

Thanks for your help.

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Nevin Manimala

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