(a) A company makes novelty bookmarks that sell for $142 per hundred. The cost (in dollars) of making x hundred bookmarks is x3 − 8x2 + 20x + 40. Because of other projects, a maximum of 600 bookmarks per day can be manufactured. Assuming 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?
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