Question

In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible product.

Answer 1

x + y = 60

x = 60 - y Now solve for xy
(60 - y) y = 60y - y^2 Call product P so then P = 60y - y^2. Now differentiate
P' = -2y + 60 For Maximum set P' to 0
0 + -2y + 60 now solve for y
-2y = -60
y=30 now solve for x
x + 30 = 60
x=60-30 = 30 the answer is that was it.

Answer 2

thank you