To determine which product would be most beneficial to wait for, we need to compare the prices of each item at different points in time and decide the lowest price for each. Here are the prices for the items:
1. Game System
- Retail price: [tex]$249
- Six-months-later price: $[/tex]229
- Auction price: [tex]$450
2. Smartphone
- Retail price: $[/tex]589
- Six-months-later price: [tex]$399
3. DVD
- Retail price: $[/tex]24
- Sale price: [tex]$16
- Six-months-later price: $[/tex]19
Now, let's find the lowest price for each item.
1. Game System
- Lowest price: [tex]$229 (six-months-later price)
2. Smartphone
- Lowest price: $[/tex]399 (six-months-later price)
3. DVD
- Lowest price: [tex]$16 (sale price)
After finding the lowest prices for each item, we observe:
- Game System: $[/tex]229
- Smartphone: [tex]$399
- DVD: $[/tex]16
Among these lowest prices, the DVD at $16 is the lowest price overall. Therefore, the most beneficial item to wait for before buying is the DVD, as it achieves significant savings when purchased at the sale price.
