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

1 answer:

3 0

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

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