Question

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

Answer 1

17 and 17

Answer 2

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

Answer 3

calc

Answer 4

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

Answer 5

thank youu