## anonymous 3 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?

1. anonymous

1.02

2. anonymous

and that means ?

3. anonymous

That's how much profit.

4. anonymous

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

5. anonymous

for each bracelet

6. anonymous

yeaa i'm confused..

7. anonymous

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

8. anonymous

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

9. anonymous

but why is it 20x?

10. anonymous

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

11. anonymous

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

12. anonymous

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

13. anonymous

the profit if you make $$x$$ bracelets and $$y$$ necklaces

14. anonymous

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

15. anonymous

oh i see! thank you!

16. anonymous

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. anonymous

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