Question

can someone explain how to find two positive numbers such that their product is 192 and the sum of the first plus three times the second is a minimum?

Answer 1

let 2 numbers be x and y
'their product is 192 '
will give you one equation, can u find that ?

Answer 2

x+3y=192?

Answer 3

product means xy

Answer 4

i can get it to where it equals 192y-3y^2 but i don't know where to go from there to find the two numbers..

Answer 5

xy=192---> x=192/y
f(y) = x+3y = 192/y +3y
now differentiate f(y) and equate it to 0, and tell me what u get.