Let's analyze each product to determine which would be most beneficial to wait before buying by calculating the savings after 6 months.
Game System:
1. Retail Price: \[tex]$249
2. Price 6 months later: \$[/tex]228
3. Savings: Retail Price - Price 6 months later
[tex]\[
\$249 - \$228 = \$21
\][/tex]
Savings for waiting 6 months to buy the game system: \[tex]$21
Smartphone:
1. Retail Price: \$[/tex]599
2. Price 6 months later: \[tex]$399
3. Savings: Retail Price - Price 6 months later
\[
\$[/tex]599 - \[tex]$399 = \$[/tex]200
\]
Savings for waiting 6 months to buy the smartphone: \[tex]$200
DVD:
1. Retail Price: \$[/tex]24
2. Price 6 months later: \[tex]$19
3. Savings: Retail Price - Price 6 months later
\[
\$[/tex]24 - \[tex]$19 = \$[/tex]5
\]
Savings for waiting 6 months to buy the DVD: \[tex]$5
Now, let's compare the savings for each product:
- Game System savings: \$[/tex]21
- Smartphone savings: \[tex]$200
- DVD savings: \$[/tex]5
From these calculations, we can see that the smartphone has the highest savings (\$200) if you wait 6 months before buying. Therefore, it is most beneficial to wait before buying the smartphone.