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

Question

Hamza Perez

Mathematics

18 October, 08:46

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

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Answers (1)

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Arroyo · 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