SOLUTION: URGNET QUESTION hey there ... thank you this has been great help..:) The question is- The sum of 2 numbers is 12. Find the numbers so that their product is a maximum. Thankyou

Question 206574: URGNET QUESTION
hey there ... thank you this has been great help..:) The question is-
The sum of 2 numbers is 12. Find the numbers so that their product is a maximum.
Thankyou soo much..
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of 2 numbers is 12. Find the numbers so that their product is a maximum.
-----
Let one of the numbers be "x"
The other number is (12-x).
-------------------
Product = x(12-x)
p(x) = -x^2+12x
Maximum occurs when x = -b/2a = -12/(2*-1) = 6
P(6) = -6^2+12*6 = -36+72 = 36
------------------------
The numbers that give a maximum product are:
x = 6
12-x = 12-6 = 6
==========================
Cheers,
Stan H.
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