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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
 one year ago
 one year 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
 one year ago
 one year ago

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

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

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

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

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

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

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

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

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

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

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

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

taranicolee Group TitleBest ResponseYou've already chosen the best response.0
yeah(:
 one year 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
 one year ago

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

zordoloom Group TitleBest ResponseYou've already chosen the best response.0
Therefore, the first value is 25 and the second value is 50.
 one year 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.
 one year 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.
 one year 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)
 one year 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?(:
 one year ago

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