Question

Minimize S = x + 14y with xy = 14 and both x and y > 0. Minimize S = x + 14y with xy = 14 and both x and y > 0. @Mathematics

Answer 1

xy = 14
x = 14/y
14/y + 14y = S
14/y + 14y^2/y = S
(14+14y^2)/y = S
f'(S) = 14-14/y^2 = 0
y = -1,1
y>0
so y =1
x = 14

Answer 2

You are the BEST !

Answer 3

why did you raise y^2 boss?

Answer 4

This derivative invloves the quotient rule

Answer 5

14/y + 14y = S
14/y + 14y^2/y = S <- this step beginning to solve for f'(x) correct?

Answer 6

GOT IT ! THANKS :)