Posted by **Melissa** on Saturday, October 22, 2011 at 7:21pm.

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

- math -
**Ms. Sue**, Saturday, October 22, 2011 at 7:25pm
1 + 16

2 + 14

3 + 13

4 + 12

5 + 11

6 + 10

7 + 9

8 + 8

Which of those produce the greatest product?

- math -
**Damon**, Saturday, October 22, 2011 at 8:18pm
y = x (16-x) = 16x - x^2

dy/dx = 0 at max = 16 - 2x

so

x = 8

8*8

- math -
**Damon**, Saturday, October 22, 2011 at 8:25pm
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

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