math hurts my head
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- Jul 12, 2006
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I have two problems I would like some assitance on.
1) Find the dimensions of a rectangular box with a square base and no top that has volume 20,000 cubic centimeters and the smallest possible surface area.
2) a. A company makes novelty bookmarks that sell for $142 per hundred. The cost (in dollars) of making x hundred bookmarks is x^3 - 8^2 + 20x + 40. Because of other projects, a maximum of 600 books marks per day can be manufactured. Asumming that the company can sell all the bookmarks it makes, how many should it make each day to maximize profits?
b. Owing to a change in other orders, as many as 1600 bookmarks can now be manufactured each day. How many should be made to maximize profits.
I appreciate any help!
1) Find the dimensions of a rectangular box with a square base and no top that has volume 20,000 cubic centimeters and the smallest possible surface area.
2) a. A company makes novelty bookmarks that sell for $142 per hundred. The cost (in dollars) of making x hundred bookmarks is x^3 - 8^2 + 20x + 40. Because of other projects, a maximum of 600 books marks per day can be manufactured. Asumming that the company can sell all the bookmarks it makes, how many should it make each day to maximize profits?
b. Owing to a change in other orders, as many as 1600 bookmarks can now be manufactured each day. How many should be made to maximize profits.
I appreciate any help!