To determine which product(s) it would be most beneficial to wait before buying, we should compare the retail prices of the items against their prices in six months. We are given the current retail prices and prices in six months for the following items:
1. Game System
- Retail Price: [tex]$249
- Price in 6 Months: $[/tex]229
- Auction Price (for comparison in this task, we won't use it): [tex]$450
2. Smartphone
- Retail Price: $[/tex]1509
- Price in 6 Months: [tex]$309
- Auction Price: Not provided
3. DVD
- Retail Price: $[/tex]524
- Price in 6 Months: [tex]$19
- Auction Price: Not provided
Now, let's calculate the difference between the retail price and the price in six months for each product.
Game System:
- Difference: \( \$[/tex]249 - \[tex]$229 = \$[/tex]20 \)
- By waiting 6 months, you save [tex]$20 on the Game System.
Smartphone:
- Difference: \( \$[/tex]1509 - \[tex]$309 = \$[/tex]1200 \)
- By waiting 6 months, you save [tex]$1200 on the Smartphone.
DVD:
- Difference: \( \$[/tex]524 - \[tex]$19 = \$[/tex]505 \)
- By waiting 6 months, you save [tex]$505 on the DVD.
After calculating the differences, we observe that:
- The Game System saves you $[/tex]20.
- The Smartphone saves you [tex]$1200.
- The DVD saves you $[/tex]505.
Among these products, the greatest savings are found with the Smartphone, where waiting 6 months saves you $1200. Therefore, it is most beneficial to wait before buying the Smartphone.
