Let's address each part of the problem systematically.
Part 1: Reason for a higher auction price of the game system
We observe that the auction price of the game system ([tex]$450) is significantly higher than its retail price ($[/tex]249). The reason for the higher auction price is because "it's a limited edition or in high demand." Limited edition items or those with high demand tend to fetch higher prices in auctions due to their scarcity or popularity among buyers.
Part 2: Savings on the phone if bought 6 months later
If you waited six months to buy the phone, you would have saved a certain amount of money. The retail price of the phone is [tex]$599, and the price drops to $[/tex]399 after six months. Therefore, the savings would be calculated by subtracting the price after six months from the original retail price:
[tex]\[ \text{Savings} = \text{Retail Price} - \text{Price 6 Months Later} \][/tex]
[tex]\[ \text{Savings} = 599 - 399 \][/tex]
[tex]\[ \text{Savings} = 200 \][/tex]
Thus, if you waited six months to buy the phone, you would have saved [tex]$200.
So, the complete answers are:
1. The auction price of the game system is higher than the retail price because it's a limited edition or in high demand.
2. If you waited six months to buy the phone, you would have saved $[/tex]200.
