company makes whoke wheat crackers and sesame crackers. The crackers are sold by the box. Each box contains 5 packets of whole wheat crackers or 3 packets of sesame crackers. The company cannot produce more than 150 packets of crackers per minute, but at least 15 boxes of whole wheat crackers and at least 20 boxes of sesame crackers must be produced per minute. If the profit per box of whoke wheat crackers is 10 cents and the profit per box of sesame crackers is 5 cents, how many boxes of each type should be produced per minute in order to maximize profits?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A company makes whoke wheat crackers and sesame crackers. The crackers are sold by the box. Each box contains 5 packets of whole wheat crackers or 3 packets of sesame crackers. The company cannot produce more than 150 packets of crackers per minute, but at least 15 boxes of whole wheat crackers and at least 20 boxes of sesame crackers must be produced per minute. If the profit per box of whoke wheat crackers is 10 cents and the profit per box of sesame crackers is 5 cents, how many boxes of each type should be produced per minute in order to maximize profits?

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