## christinaxxx 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. 419618

1.02

2. christinaxxx

and that means ?

3. ChristineToTheRescue

That's how much profit.

4. ChristineToTheRescue

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

5. ChristineToTheRescue

for each bracelet

6. christinaxxx

yeaa i'm confused..

7. satellite73

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

8. satellite73

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

9. christinaxxx

but why is it 20x?

10. satellite73

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

11. satellite73

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

12. christinaxxx

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

13. satellite73

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

14. satellite73

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

15. christinaxxx

oh i see! thank you!

16. satellite73

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

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