Find two positive numbers x & y such that x + y = 60 and xy…

Physics Vectors Basic Mathematics MCQ (Single Correct)

Find two positive numbers x & y such that x + y = 60 and xy is maximum -

15, 45

30, 30

20, 40

10, 50

Text Solution

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The correct answer is:

x + y = 60

x = 60 - y

xy = (60 – y) y

f(y) = (60 – y) y

for maximum

f '(y) = 60 – 2y = 0

y = 30

so x = 30 & y = 30

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