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christinaxxx Group Title

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?

  • 2 years ago
  • 2 years ago

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  1. 419618 Group Title
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    1.02

    • 2 years ago
  2. christinaxxx Group Title
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    and that means ?

    • 2 years ago
  3. ChristineToTheRescue Group Title
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    That's how much profit.

    • 2 years ago
  4. ChristineToTheRescue Group Title
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    Most likely...I didn't solve it but you really can't make 1.02 of a bracelet.

    • 2 years ago
  5. ChristineToTheRescue Group Title
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    for each bracelet

    • 2 years ago
  6. christinaxxx Group Title
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    yeaa i'm confused..

    • 2 years ago
  7. satellite73 Group Title
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    is this one of these annoying "linear programming" problems?

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

    • 2 years ago
  9. christinaxxx Group Title
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    but why is it 20x?

    • 2 years ago
  10. satellite73 Group Title
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    and also \(x\leq 40,y\leq 80\) like that i think

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

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

    • 2 years ago
  13. satellite73 Group Title
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    the profit if you make \(x\) bracelets and \(y\) necklaces

    • 2 years ago
  14. satellite73 Group Title
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    that is what you are trying to maximize i think you check the corners if i am not mistaken

    • 2 years ago
  15. christinaxxx Group Title
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    oh i see! thank you!

    • 2 years ago
  16. satellite73 Group Title
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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 \(3.25x+3.50y\)

    • 2 years ago
  17. christinaxxx Group Title
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    oh yes. i know how to do it, i was just making sure before i finished

    • 2 years ago
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