Question

Find two numbers whose difference is 300 and whose product is a minimum. List them separated with a comma.

Answer 1

let a = first num
let b = sec num
let y = min

a - b = 300

ab = y

a = 300 + b

(300+b)b = y

b^2 + 300b = y

[d/db] [b^2 + 300b] = [d/db][y]

dy/db = 2b + 300

dy/db = 0

b = -150

a = 150

Answer 2

THank you!