To find out which combination will result in making at least $200 and selling no more than 100 items, we need to calculate the total amount of money made and the total number of items sold for each combination.
For option A:
Total money made = $2 (45 bracelets) + $4 (60 headbands) = $90 + $240 = $330
Total items sold = 45 bracelets + 60 headbands = 105 items
For option B:
Total money made = $2 (20 bracelets) + $4 (60 headbands) = $40 + $240 = $280
Total items sold = 20 bracelets + 60 headbands = 80 items
For option C:
Total money made = $2 (70 bracelets) + $4 (40 headbands) = $140 + $160 = $300
Total items sold = 70 bracelets + 40 headbands = 110 items
For option D:
Total money made = $2 (50 bracelets) + $4 (10 headbands) = $100 + $40 = $140
Total items sold = 50 bracelets + 10 headbands = 60 items
Among these options, only option B meets the criteria of making at least $200 and selling no more than 100 items. Thus, the correct combination is option B: 20 bracelets and 60 headbands.