anonymous
  • anonymous
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
Calculus1
schrodinger
  • schrodinger
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
You still there? Do you need help?
anonymous
  • anonymous
yes please!
anonymous
  • anonymous
Do you know calculus?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
well haha i'm in the class right now but not really...
anonymous
  • anonymous
Okay. That's fine.
anonymous
  • anonymous
well are you going to help?(:
anonymous
  • anonymous
Do you want just the answer, or how to get the answer?
anonymous
  • anonymous
how to get it please (:
anonymous
  • anonymous
how to get it please (:
anonymous
  • anonymous
okay.
anonymous
  • anonymous
let x= the first number let y= the second number
anonymous
  • anonymous
so, x+2y=100.
anonymous
  • anonymous
You are trying to maximize the product yz. so let z= the product = to xy
anonymous
  • anonymous
Following so far?
anonymous
  • anonymous
yeah(:
anonymous
  • anonymous
okay, so solve x+2y=100 for x. x=100-2y z=xy z=(100-2y)y z=y(100-2y) z=100y-2y^2
anonymous
  • anonymous
Now, just find the vertex of that graph using -b/2a
anonymous
  • anonymous
Therefore, the first value is 25 and the second value is 50.
anonymous
  • anonymous
Let me simplify this down a bit, because I was writing out my work which may be a bit confusing.
anonymous
  • anonymous
So, 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.
anonymous
  • anonymous
You are trying to minimize the product, P=xy. So solve the first equation x+2y=100, for x.........x=100-2y. Now substitute this into the product formula ( P=xy)
anonymous
  • anonymous
ohhh wait i get it! thank you!!!! do you have time to help me with another one?(:
anonymous
  • anonymous
P = xy = (100 − 2y)y = 100y − 2y^2
anonymous
  • anonymous
Sure.

Looking for something else?

Not the answer you are looking for? Search for more explanations.