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From a stock of various computer accessories of different brands, the optimization problem requires deciding to keep or discard products. The decision should be made maintaining the following if-then condition: If one product of a certain brand is eliminated than all the products of that brand should be eliminated. So, for example, if the stock has different models of HP branded monitor, printer, mouse and keyboard, and decision is made to discard one model of HP mouse, then all other HP products need to be discarded as well.

As the number of items under each brand varies, how do I formulate this?

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