General question: how do you find constraints in an optimization problem?

For example, in this question:"Find two natural numbers whose sum is 16 and whose product is a maximum." the solution states that the constraint is that x would be between 1 and 15. Why not 0?

In another example, where the questions asks "The perimeter of a rectangle is 24 cm. Find the dimensions of the rectangle of maximum area. What is the maximum area?", the constraint is listed as length is between 0 and 12?

So why is 0 listed here and not in the first question?

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Expert Solution

milcah answered 1 year ago

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