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The sum of two numbers is 16 . What is the largest possible product between these numbers

• math -

1 + 16
2 + 14
3 + 13
4 + 12
5 + 11
6 + 10
7 + 9
8 + 8

Which of those produce the greatest product?

• math -

y = x (16-x) = 16x - x^2
dy/dx = 0 at max = 16 - 2x
so
x = 8
8*8

• math -

or find vertex of that parabola (y = 16x-x^2) if you do not know derivatives.

x^2 - 16 x = -y
x^2 - 16 x + 64 = -y+64
(x-8)^2 = (-y+64)
x = 8

• math -

eight

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