# 15) Find two positive numbers x and y such that their sum is 35 and the product is a maximum.

It is given that
x + y = 35 , x = 35 - y
and  is maximum
Therefore,

Now,

Now,

Hence, y = 35 is the point of minima

Hence, y= 0 is neither point of maxima or minima

Hence, y = 25 is the point of maxima
x = 35 - y
= 35 - 25 = 10
Hence, the value of x and y are 10 and 25 respectively

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