SOLUTION: Divide 50 into two parts such that the product is maximum

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Question 985375: Divide 50 into two parts such that the product is maximum
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Divide 50 into two parts such that the product is maximum
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25*25 = 625

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let y=the maximum product
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y=x(50-x) The maximum is when first derivative of the function=0
y=50x-x^2
dy/dx=50-2x Set derivative=0
0=50-2x
-50=-2x
25=x ANSWER: The product is maximum when both parts are 25.