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christinaxxx

  • 2 years ago

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?

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  1. 419618
    • 2 years ago
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    1.02

  2. christinaxxx
    • 2 years ago
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    and that means ?

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

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

  5. ChristineToTheRescue
    • 2 years ago
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    for each bracelet

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

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

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

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

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

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

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

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

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

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

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

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

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