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anonymous

  • one year ago

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.

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  1. Itsyacoolgrl
    • one year ago
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    Is it a multiple choice question?

  2. anonymous
    • one year ago
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    No

  3. Itsyacoolgrl
    • one year ago
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    oh ok

  4. alekos
    • one year ago
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    tough question have they given you an answer?

  5. anonymous
    • one year ago
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    They have not no

  6. Rizags
    • one year ago
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    make a cubic for it

  7. Rizags
    • one year ago
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    first write the length width and height in terms of "w"

  8. alekos
    • one year ago
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    i have a solution but i'll have to get back to you @rburns4

  9. anonymous
    • one year ago
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    Ok @alekos

  10. alekos
    • one year ago
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    sorry i have to go. i can go through the full solution at another time. when would suit you?

  11. anonymous
    • one year ago
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    I need it by tonight because it is due tomorrow and I will be busy

  12. alekos
    • one year ago
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    what time is it where you are?

  13. anonymous
    • one year ago
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    Arizona time it's noon now

  14. anonymous
    • one year ago
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    |dw:1434739818457:dw|

  15. anonymous
    • one year ago
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    How do you minimize something? @peachpi

  16. anonymous
    • one year ago
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    Take the derivative and find the x values where it is 0.

  17. anonymous
    • one year ago
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    then test them with either the 1st or 2nd derivative test

  18. anonymous
    • one year ago
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    finding the x value where it is zero is just making it equal to zero right? @peachpi

  19. anonymous
    • one year ago
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    make the derivative 0 and solve for x. \[C'(x) = 60x-\frac{ 7 }{ x^2 }=0\]

  20. alekos
    • one year ago
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    here is the solution. peachpi's method is correct but the numbers are wrong.

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  21. anonymous
    • one year ago
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    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.

  22. alekos
    • one year ago
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    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

  23. anonymous
    • one year ago
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    yes that's right.

  24. alekos
    • one year ago
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    thanks

  25. anonymous
    • one year ago
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    It says that is is wrong @alekos

  26. anonymous
    • one year ago
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    try $234.28

  27. alekos
    • one year ago
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    @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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