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taranicolee
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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
 2 years ago
taranicolee Group Title
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
 2 years ago

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

taranicolee Group TitleBest ResponseYou've already chosen the best response.0
yes please!
 2 years ago

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

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

zordoloom Group TitleBest ResponseYou've already chosen the best response.0
Okay. That's fine.
 2 years ago

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

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

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

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

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

zordoloom Group TitleBest ResponseYou've already chosen the best response.0
so, x+2y=100.
 2 years ago

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

zordoloom Group TitleBest ResponseYou've already chosen the best response.0
Following so far?
 2 years ago

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

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

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

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

zordoloom Group TitleBest ResponseYou've already chosen the best response.0
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.
 2 years ago

zordoloom Group TitleBest ResponseYou've already chosen the best response.0
You 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)
 2 years ago

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

zordoloom Group TitleBest ResponseYou've already chosen the best response.0
P = xy = (100 − 2y)y = 100y − 2y^2
 2 years ago
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