Minimising the product of sums chosen from intervals

Contents The problem An example The solution Lemma one Lemma two Conclusion Generalisation What a catchy name! I&rsquo;d like to explain this problem, and then provide a wordy proof for a general case. All the proofs are hidden in drop downs to motivate you to try them yourself and to make the blog less dense, if you have any questions about the proofs (or anything else), please leave them below!