SOLUTION: One number is 3 larger than twice a second number. Find the two numbers so that their product is a maximum.

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Question 1025960: One number is 3 larger than twice a second number. Find the two numbers so that their product is a maximum.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x=3%2By%2Cp=xy%29

p=%283%28y%2B3%29%29y

p=%283y%2B9%29y

p=3y%5E2%2B9y

---Differentiate p.....
dp%2Fdy=2%2A3y%2B9

dp%2Fdy=6y%2B9

6y%2B9=0

2y%2B3=0

2y=-3

highlight%28y=-3%2F2%29 corresponding to x=3%2B%28-3%2F2%29=6%2F2-3%2F2=highlight%283%2F2=x%29.