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 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?
 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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ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0That's how much profit.

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0Most likely...I didn't solve it but you really can't make 1.02 of a bracelet.

ChristineToTheRescue
 2 years ago
Best ResponseYou've already chosen the best response.0for each bracelet

christinaxxx
 2 years ago
Best ResponseYou've already chosen the best response.1yeaa i'm confused..

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1is this one of these annoying "linear programming" problems?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1maximize \(3.25x+3.50y\) subject to the condition that \(20x+200y\leq 10,000\)

christinaxxx
 2 years ago
Best ResponseYou've already chosen the best response.1but why is it 20x?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1and also \(x\leq 40,y\leq 80\) like that i think

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1because i made a typo, it is \(50x+200y\leq 10,000\)

christinaxxx
 2 years ago
Best ResponseYou've already chosen the best response.1lol okay well i got all those equations except the 3.25x+3.50y. what does that equation equal?

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1the profit if you make \(x\) bracelets and \(y\) necklaces

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1that is what you are trying to maximize i think you check the corners if i am not mistaken

christinaxxx
 2 years ago
Best ResponseYou've already chosen the best response.1oh i see! thank you!

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1yw 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 \(3.25x+3.50y\)

christinaxxx
 2 years ago
Best ResponseYou've already chosen the best response.1oh yes. i know how to do it, i was just making sure before i finished
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