SOLUTION: FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.

Question 161661: FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.
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x-y = 26
P = xy (product = xy)
sub for y
y = x-26
P = x*(x-26)
P = x^2 - 26x
Set the 1st derivative = 0
2x - 26 = 0
x = 13
y = -13
Prod = -169
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Try -12 and 14:
Prod = -168
Try -14 and 12:
Prod = -168
Looks good.
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