A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
can someone explain to me how to find two positive numbers such that the sum of the first and twice the second is 100 and their product is a maximum
 2 years ago
can someone explain to me how to find two positive numbers such that the sum of the first and twice the second is 100 and their product is a maximum

This Question is Closed

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0You still there? Do you need help?

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know calculus?

taranicolee
 2 years ago
Best ResponseYou've already chosen the best response.0well haha i'm in the class right now but not really...

taranicolee
 2 years ago
Best ResponseYou've already chosen the best response.0well are you going to help?(:

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0Do you want just the answer, or how to get the answer?

taranicolee
 2 years ago
Best ResponseYou've already chosen the best response.0how to get it please (:

taranicolee
 2 years ago
Best ResponseYou've already chosen the best response.0how to get it please (:

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0let x= the first number let y= the second number

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0You are trying to maximize the product yz. so let z= the product = to xy

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0okay, so solve x+2y=100 for x. x=1002y z=xy z=(1002y)y z=y(1002y) z=100y2y^2

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0Now, just find the vertex of that graph using b/2a

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0Therefore, the first value is 25 and the second value is 50.

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0Let me simplify this down a bit, because I was writing out my work which may be a bit confusing.

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0So, you have been told that the sum of the first number, twice the second is 100 (I'll use just x and y this time to make things less confusing) so, x+2y=100.

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0You are trying to minimize the product, P=xy. So solve the first equation x+2y=100, for x.........x=1002y. Now substitute this into the product formula ( P=xy)

taranicolee
 2 years ago
Best ResponseYou've already chosen the best response.0ohhh wait i get it! thank you!!!! do you have time to help me with another one?(:

zordoloom
 2 years ago
Best ResponseYou've already chosen the best response.0P = xy = (100 − 2y)y = 100y − 2y^2
Ask your own question
Ask a QuestionFind 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.