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Optimisation, in mathematics, as well as in other fields, is to make the "best of". Given a situation, it is often maximising a positive aspect (for example profits), or minimising a negative aspect (for example, costs) subject to a set of constraints (for example, the number of machines). There are also situations where the best solution is very difficult to find (the knapsack problem) but some procedures can guide you towards the best.

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Q: What is optimization in mathematics?
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