anonymous
  • anonymous
A rectangular storage container with an open top is to have a volume of 12 cubic meters. The length of its base is twice the width. Material for the base costs 15 dollars per square meter. Material for the sides costs 7 dollars per square meter. Find the cost of materials for the cheapest such container.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Itsyacoolgrl
  • Itsyacoolgrl
Is it a multiple choice question?
anonymous
  • anonymous
No
Itsyacoolgrl
  • Itsyacoolgrl
oh ok

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More answers

alekos
  • alekos
tough question have they given you an answer?
anonymous
  • anonymous
They have not no
Rizags
  • Rizags
make a cubic for it
Rizags
  • Rizags
first write the length width and height in terms of "w"
alekos
  • alekos
i have a solution but i'll have to get back to you @rburns4
anonymous
  • anonymous
Ok @alekos
alekos
  • alekos
sorry i have to go. i can go through the full solution at another time. when would suit you?
anonymous
  • anonymous
I need it by tonight because it is due tomorrow and I will be busy
alekos
  • alekos
what time is it where you are?
anonymous
  • anonymous
Arizona time it's noon now
anonymous
  • anonymous
|dw:1434739818457:dw|
anonymous
  • anonymous
How do you minimize something? @peachpi
anonymous
  • anonymous
Take the derivative and find the x values where it is 0.
anonymous
  • anonymous
then test them with either the 1st or 2nd derivative test
anonymous
  • anonymous
finding the x value where it is zero is just making it equal to zero right? @peachpi
anonymous
  • anonymous
make the derivative 0 and solve for x. \[C'(x) = 60x-\frac{ 7 }{ x^2 }=0\]
alekos
  • alekos
here is the solution. peachpi's method is correct but the numbers are wrong.
1 Attachment
anonymous
  • anonymous
RE alekos' solution: The 4 sides don't have the same area. 2 of them have area hx and 2 of them have area 2hx.
alekos
  • alekos
yes you're right. thanks peachpi. total area of the sides is 6hx which works out to 252/x. I get x=1.613 for a minimum cost of $234. @peachpi can you please check my answer
anonymous
  • anonymous
yes that's right.
alekos
  • alekos
thanks
anonymous
  • anonymous
It says that is is wrong @alekos
anonymous
  • anonymous
try $234.28
alekos
  • alekos
@rburns, What says that it's wrong? Answer should be as peachpi has written and verified by the two of us

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