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Q)

Sum of two numbers is 48 find them for max product also find max product

Sum of two numbers is 48 find them for max product also find max product

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A)
x+y=48x=48−y−−−(1)

Now we have to maximize the function:

x∗y=Q

Substituting value of x from (1) and

equating the derivative of the function to zero:

(48−y)y=Q

Q=48y−y^2

48−2y=0

y=24

x=24

x∗y=Q

Thus, the two numbers are 24 and 24.
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