SOLUTION: Find two positive real numbers whose sum is 40 and whose product is maximum without involving the intercepts.

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Question 253160: Find two positive real numbers whose sum is 40 and whose product is maximum without involving the intercepts.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let X and Y be the two numbers.
WE ned a formula for sum:
(i) x+%2B+y+=+40
we need a formula for area:
(ii) A+=+XY
Now, maximum quadrilaterals are squares.
So, x = y = 20.
20 + 20 = 40
20 * 20 = 400 (max product)
So, our coordinate is (20,20)