Answer :
To determine which products would be most beneficial to wait before buying, let's analyze the pricing history provided.
### Game System
- Retail Price: [tex]$249 - Price 6 months later: $[/tex]229
- Auction Price: [tex]$450 Savings if you wait 6 months: \[ 249 - 229 = 20 \] So, by waiting for 6 months, you save $[/tex]20.
### Smart Phone
- Retail Price: [tex]$589 - Price 6 months later: $[/tex]399
Savings if you wait 6 months:
[tex]\[ 589 - 399 = 190 \][/tex]
So, by waiting for 6 months, you save [tex]$190. ### DVD - Retail Price: $[/tex]24
- Retail Sale Price: [tex]$16 - Price 6 months later: $[/tex]19
Savings if you buy during the sale:
[tex]\[ 24 - 16 = 8 \][/tex]
Savings if you wait 6 months:
[tex]\[ 24 - 19 = 5 \][/tex]
Both strategies (buying during the sale or waiting for 6 months) save money. Buying at the sale saves [tex]$8, which is more beneficial than waiting for 6 months and saving $[/tex]5.
### Conclusion
From this analysis, we can see the benefits of waiting for each product:
- Game System: Save [tex]$20 by waiting 6 months. - Smart Phone: Save $[/tex]190 by waiting 6 months.
- DVD: Save [tex]$8 by buying during the sale, which is more beneficial than the $[/tex]5 saving if you wait 6 months.
Therefore, the products for which it would be most beneficial to wait before buying are:
- Game system
- Smart phone
- DVD (during the sale)
It's most beneficial to wait before buying the game system and the smart phone, and to buy the DVD during the sale.
### Game System
- Retail Price: [tex]$249 - Price 6 months later: $[/tex]229
- Auction Price: [tex]$450 Savings if you wait 6 months: \[ 249 - 229 = 20 \] So, by waiting for 6 months, you save $[/tex]20.
### Smart Phone
- Retail Price: [tex]$589 - Price 6 months later: $[/tex]399
Savings if you wait 6 months:
[tex]\[ 589 - 399 = 190 \][/tex]
So, by waiting for 6 months, you save [tex]$190. ### DVD - Retail Price: $[/tex]24
- Retail Sale Price: [tex]$16 - Price 6 months later: $[/tex]19
Savings if you buy during the sale:
[tex]\[ 24 - 16 = 8 \][/tex]
Savings if you wait 6 months:
[tex]\[ 24 - 19 = 5 \][/tex]
Both strategies (buying during the sale or waiting for 6 months) save money. Buying at the sale saves [tex]$8, which is more beneficial than waiting for 6 months and saving $[/tex]5.
### Conclusion
From this analysis, we can see the benefits of waiting for each product:
- Game System: Save [tex]$20 by waiting 6 months. - Smart Phone: Save $[/tex]190 by waiting 6 months.
- DVD: Save [tex]$8 by buying during the sale, which is more beneficial than the $[/tex]5 saving if you wait 6 months.
Therefore, the products for which it would be most beneficial to wait before buying are:
- Game system
- Smart phone
- DVD (during the sale)
It's most beneficial to wait before buying the game system and the smart phone, and to buy the DVD during the sale.
