Question

12. A store has a display with hats that are for sale. The owner typically sells 8 hats a day. The display holds 72 hats. The owner insists that there be no fewer than 16 hats on display. When should the owner restock the display?

Answer 1

the owner should restock the display every 7 days to ensure that there are always at least 16 hats on display

Explanation:

To determine when the owner should restock the display, we need to consider the number of hats sold each day and the minimum number of hats that should be on display. The owner sells 8 hats a day, and they want to make sure there are at least 16 hats on display. If we subtract the minimum number of hats from the total number of hats the display can hold, we get the maximum number of hats that can be sold before restocking is necessary. 72 hats (display capacity) - 16 hats (minimum display requirement) = 56 hats (maximum hats that can be sold before restocking) Since the owner sells 8 hats a day, we divide the maximum number of hats that can be sold by the number of hats sold per day to find the number of days before restocking is needed. 56 hats (maximum hats that can be sold) ÷ 8 hats (hats sold per day) = 7 days Therefore, the owner should restock the display every 7 days to ensure that there are always at least 16 hats on display