Let's break down the historical pricing data for each product and determine which product would be the most beneficial to wait before buying, based on the savings:
1. Game System:
- Initial Price: [tex]$249
- Later Price: $[/tex]229
- Auction Price: [tex]$450
Savings by waiting for the later price:
\[
\$[/tex]249 - \[tex]$229 = \$[/tex]20
\]
2. Smartphone:
- Initial Price: [tex]$500
- Later Price: $[/tex]30
- Auction Price: Not applicable
Savings by waiting for the later price:
[tex]\[
\$500 - \$30 = \$470
\][/tex]
3. DVD:
- Initial Price: [tex]$24
- Later Price: $[/tex]19
- Auction Price: [tex]$18
Savings by waiting for the later price:
\[
\$[/tex]24 - \[tex]$19 = \$[/tex]5
\]
Now, we compare the savings for each product:
- Game System: [tex]$20 savings
- Smartphone: $[/tex]470 savings
- DVD: [tex]$5 savings
The product which offers the highest savings if you wait to buy it later is the smartphone, with a savings of $[/tex]470.
Hence, it would be most beneficial to wait before buying the smartphone.
