Question

Of those numbers whose sum is 70, find the two that have the maximum product. That is, maximize Q=xy where x+y=70

Answer 1

What class is this for?

Answer 2

@Lukecrayonz what class is this for?

Answer 3

x + y = 70 --> y = 70 - x

xy = x(70-x) = 70x - x^2

differentiate and set equal to 0 to maximize 70x-x^2

Answer 4

@FutureMathProfessor business calc

Answer 5

@dumbcow derivative of 70x-x^2 is 2x-70, so now what?:O

Answer 6

set that equal to zero and solve for x?

Answer 7

yes

Answer 8

35

Answer 9

Oh. So just 35 and 35..

Answer 10

yep so max Q = 35^2

Answer 11

1225