Question

Find two positive numbers a and b (witha≤b) whose sum is 88 and whose product is maximized.

Answer 1

a + b = 88

ab = y

a = 88 - b

y = (88 - b)*b
y = -b^2 + 88b

Take the derivative and set equal to 0

y' = -2b + 88 = 0

2b = 88
b = 44

a=44

both numbers are 44