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taranicolee
 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
taranicolee
 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

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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
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