A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
The sum of a number and twice another number is 12. What is their maximum product?
anonymous
 5 years ago
The sum of a number and twice another number is 12. What is their maximum product?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hello!!! suppose the number be x so the other number will be 2x so according to question x + 2x = 12 3x = 12 x = 4 so 2x = 8 product = 8 * 4 = 32 this the simplest way to solve the problem but maybe its incorrect because of "maximum product".

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ChatIndia, you cannot use x + 2x because that would imply they are the same number. It has to be x + 2y. I'm still working on this answer :p

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yea because it says another number!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nkili, in that case it would be very easy to solve. thanks for the hint

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i am sleepy,nkili will solve the problem. :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm really not sure about this one actually haha.... sorry :/

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0proceed this way (x +2y)^2 = 144

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Does anyone disagree with 18?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0My answer key says that's the right answer, but how do you solve it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Let x y = k y=k/x Then \[\frac{k}{x}+2 x==12 \] \[\frac{k12 x+2 x^2}{x}=0 \] Derivative of the Numerator set to 0 then solved for x is x=3 \[\left(\frac{k}{x}+2 x==12\text{/.}x\to 3\right) \text{is}\text{ }\left(6+\frac{k}{3}==12\right) \] k=18

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0maxima minima trick :P
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.