<PRE><B>Question 1005533</B>
Find two numbers whose sum is 56 and whose product is as large as possible. [Hint: Let x and 56-x be the two positive numbers. Their product can be described by the function f(x)=x(56-x).] 
----
Equation:
Product = x(56-x)
----
P = -x^2+56
------
Max occurs when x = -b/(2a) = -56/(2*-1) = 28
-----
Then 56-x = 56-28 = 28
------
Cheers,
Stan H.
----------</PRE>