Let's analyze each option to see if they meet the criteria of making at least $200 while selling no more than 100 items.
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20 bracelets and 60 headbands
- Total items: 20 + 60 = 80 (meets the item limit)
- Total revenue: (20 * $2) + (60 * $4) = $40 + $240 = $280 (meets revenue requirement)
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70 bracelets and 40 headbands
- Total items: 70 + 40 = 110 (exceeds the item limit)
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45 bracelets and 60 headbands
- Total items: 45 + 60 = 105 (exceeds the item limit)
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50 bracelets and 10 headbands
- Total items: 50 + 10 = 60 (meets the item limit)
- Total revenue: (50 * $2) + (10 * $4) = $100 + $40 = $140 (does not meet revenue requirement)
From the analysis, the only combination that satisfies both criteria of making at least $200 and selling no more than 100 items is:
20 bracelets and 60 headbands.