Problema Solution
the difference of 2 numbers is 36. Determine the 2 numbers such that the product is a maximum
Answer provided by our tutors
Let 'x' and 'y' represent the numbers and let y - x = 36.
Then
y = 36 + x
The product of x and y will be:
xy = x(36 + x) = x^2 + 36x
The function x^2 + 36x has no limit, meaning as x grows x^2 + 36x grows as well, so there is no solution.