Question

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?

Answer 1

1.02

Answer 2

and that means ?

Answer 3

That's how much profit.

Answer 4

Most likely...I didn't solve it but you really can't make 1.02 of a bracelet.

Answer 5

for each bracelet

Answer 6

yeaa i'm confused..

Answer 7

is this one of these annoying "linear programming" problems?

Answer 8

maximize \(3.25x+3.50y\) subject to the condition that \(20x+200y\leq 10,000\)

Answer 9

but why is it 20x?

Answer 10

and also \(x\leq 40,y\leq 80\) like that i think

Answer 11

because i made a typo, it is \(50x+200y\leq 10,000\)

Answer 12

lol okay well i got all those equations except the 3.25x+3.50y. what does that equation equal?

Answer 13

the profit if you make \(x\) bracelets and \(y\) necklaces

Answer 14

that is what you are trying to maximize
i think you check the corners if i am not mistaken

Answer 15

oh i see! thank you!

Answer 16

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 \(3.25x+3.50y\)

Answer 17

oh yes. i know how to do it, i was just making sure before i finished