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christinaxxx

alright here's a toughie.......Some students make necklaces and bracelets in their spare time and sell all that they make. They can make at most 40 bracelets and at most 80 necklaces each week. Every week, they have an available 10,000 grams of metal. It takes 50 grams of metal to make a necklace and 200 grams of metal to make a bracelet. The profit on each necklace is $3.25 and the profit on each bracelet is $3.50. How many of each should they make? how much profit can they make?

  • one year ago
  • one year ago

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  1. 419618
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    1.02

    • one year ago
  2. christinaxxx
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    and that means ?

    • one year ago
  3. ChristineToTheRescue
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    That's how much profit.

    • one year ago
  4. ChristineToTheRescue
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    Most likely...I didn't solve it but you really can't make 1.02 of a bracelet.

    • one year ago
  5. ChristineToTheRescue
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    for each bracelet

    • one year ago
  6. christinaxxx
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    yeaa i'm confused..

    • one year ago
  7. satellite73
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    is this one of these annoying "linear programming" problems?

    • one year ago
  8. satellite73
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    maximize \(3.25x+3.50y\) subject to the condition that \(20x+200y\leq 10,000\)

    • one year ago
  9. christinaxxx
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    but why is it 20x?

    • one year ago
  10. satellite73
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    and also \(x\leq 40,y\leq 80\) like that i think

    • one year ago
  11. satellite73
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    because i made a typo, it is \(50x+200y\leq 10,000\)

    • one year ago
  12. christinaxxx
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    lol okay well i got all those equations except the 3.25x+3.50y. what does that equation equal?

    • one year ago
  13. satellite73
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    the profit if you make \(x\) bracelets and \(y\) necklaces

    • one year ago
  14. satellite73
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    that is what you are trying to maximize i think you check the corners if i am not mistaken

    • one year ago
  15. christinaxxx
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    oh i see! thank you!

    • one year ago
  16. satellite73
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    yw hope you know what to do from here because i forget well sort of. i know you need to check the corners, where the lines intersect and see which one gives you the biggest output for \(3.25x+3.50y\)

    • one year ago
  17. christinaxxx
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    oh yes. i know how to do it, i was just making sure before i finished

    • one year ago
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