Mathematics can give for example theoretical lower and upper bounds for complexity of algorithms. And that information is very valuable for tradeoffs. For example we know that many algorithms have optimal average complexity or asymptotic behavior so they can be a good tradeoff in certain scenarios. Also knowing that some problems don't have a perfect solution allows you to accept essential tradeoffs
Mathematics can give for example theoretical lower and upper bounds for complexity of algorithms. And that information is very valuable for tradeoffs. For example we know that many algorithms have optimal average complexity or asymptotic behavior so they can be a good tradeoff in certain scenarios. Also knowing that some problems don't have a perfect solution allows you to accept essential tradeoffs
Life is all about purpose. Mathematicians are instead concerned with meaning. We need more philosophers.