Thread: Word Question Calc Help

Anyone have any idea what this question is even asking for?

The sum of two positive numbers is 36. Find the integers and the maximum value of the product of the integers

The first number is x, and the second is (36-x). Their product is x(36-x), which is 36x-x^2. Find f'(x)=0. f'(x)= 36-2x. 36-2x=0 x=18.Both numbers are 18. Max product 18x18=324
Good luck.