To find a suitable combination, we need to calculate both the total revenue generated and the total number of items sold for each option.
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50 cookies and 30 muffins
- Total items: 50 + 30 = 80 items
- Total revenue: (50 * 3) + (30 * 5) = 150 + 150 = $300
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30 cookies and 25 muffins
- Total items: 30 + 25 = 55 items
- Total revenue: (30 * 3) + (25 * 5) = 90 + 125 = $215
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25 cookies and 30 muffins
- Total items: 25 + 30 = 55 items
- Total revenue: (25 * 3) + (30 * 5) = 75 + 150 = $225
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40 cookies and 20 muffins
- Total items: 40 + 20 = 60 items
- Total revenue: (40 * 3) + (20 * 5) = 120 + 100 = $220
The only combination that meets the goal of raising at least $300 while selling no more than 80 items is:
50 cookies and 30 muffins.
This combination sells exactly 80 items and raises exactly $300.