## christinaxxx Group Title 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? one year ago one year ago

1. 419618 Group Title

1.02

2. christinaxxx Group Title

and that means ?

3. ChristineToTheRescue Group Title

That's how much profit.

4. ChristineToTheRescue Group Title

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

5. ChristineToTheRescue Group Title

for each bracelet

6. christinaxxx Group Title

yeaa i'm confused..

7. satellite73 Group Title

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

8. satellite73 Group Title

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

9. christinaxxx Group Title

but why is it 20x?

10. satellite73 Group Title

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

11. satellite73 Group Title

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

12. christinaxxx Group Title

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

13. satellite73 Group Title

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

14. satellite73 Group Title

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

15. christinaxxx Group Title

oh i see! thank you!

16. satellite73 Group Title

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 Group Title

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