Question

A square piece of cardboard 1 foot on each side is to be cut and folded into a box without the top(small squares will be cut off from each corner). Find the dimensions of the box with the greatest volume

Answer 1

mathdragon, are you wage?
Anyway, I'll do my best to solve it.

Answer 2

Does this question has to do with Calculus?

Answer 3

yes calculus

Answer 4

but, my new friend helped me figure it out

Answer 5

do you know optimization

Answer 6

I'm not sure if I can help with it, I took Calculus 4 years ago. Give me half an hour to refresh and solve. I can't grantee answering though =$

Answer 7

cause i have another problem that i needed help with.

Answer 8

ok.. give time please ^^"

Answer 9

let me give you this other problem and see if you can help me out with it okay,

Answer 10

ok

Answer 11

the original problem i posted i solved already

Answer 12

During the summer months terry makes necklaces to sell on the beach. Last summer he sold necklaces for 10 dollars each and averaged 20 sales per day. When he increased the price by 1 dollar he found that he lost 2 sales per day. If the material for each necklace costs Terry 6 dollars what should the selling prices be to maximize his profit? Profit=Revenue-Cost

Answer 13

Both questions aren't easy for me, but if you have time, I'll be able to refresh and give hints (this is just in case I couldn't solve at all). When do you need it to be solved? I'd like to know how much time I have =$

Answer 14

http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/maxmindirectory/MaxMin.html Go to problem #5. It's similar to yours but it has a rectangle instead of a square. Hopefully it helps. I'm sorry, I couldn't solve it =$

Answer 15

I would like that question about terry and neclaces solved, and take your time

Answer 16

ok

Answer 17

When it says: "he lost 2 sales per day". Does this mean that he sold 18 necklaces per day or he sold 20 then the day after 18, then 16, etc. ?

Answer 18

I know I'm not helping directly ><

Those are two links that I found:
http://mathcentral.uregina.ca/QQ/database/QQ.09.10/h/joe1.html <-- very similar to your question
http://mathcentral.uregina.ca/QandQ/topics/maximize < -- has other problems