Find two positive integers such that their sum is 34 and their product is a maximum.

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Find two positive integers such that their sum is 34 and their product is a maximum.

Mathematics
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17 and 17
are you supposed to use calculus or pure reason? if calc we make an equation.
calc

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x+y=34 y=34-x x*(34-x)=maximum = 34x-x² f[x] = 34x-x² maximum happens when df[x]/dx = 0 34-2x = 0 17 = x y = 34-17 = 17
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