Questions: This chart shows the actual pricing history for three items. Historical Pricing for Small-Veals lows 139 Petaljurce Retail sale prices Price 5 months later % discount prices Game system 249 - 229 453 Smart phone sec 9 - 30 - 2.0 24 5'6 19 - For which product(s) would it be beneficial before buying? - game system - smartphone - DVD - It's most beneficial to buy all no

Solution Steps

Let the historical prices be defined as follows:

• \( P_{\text{game\_system}} = 5249 \)
• \( P_{\text{smartphone}} = \text{None} \)
• \( P_{\text{DVD}} = 524 \)

Let the current prices be defined as:

• \( P'_{\text{game\_system}} = 229 \)
• \( P'_{\text{smartphone}} = 530 \)
• \( P'_{\text{DVD}} = 519 \)

Calculate the price differences for each product where historical prices are available:

• For the game system: \[ D_{\text{game\_system}} = P_{\text{game\_system}} - P'_{\text{game\_system}} = 5249 - 229 = 5020 \]
• For the DVD: \[ D_{\text{DVD}} = P_{\text{DVD}} - P'_{\text{DVD}} = 524 - 519 = 5 \]
• The smartphone does not have a historical price, so it is excluded from this calculation.

Identify which products have a positive price difference, indicating a reduction in price:

• The game system has a price difference of \( 5020 \), which is positive.
• The DVD has a price difference of \( 5 \), which is also positive.
• The smartphone is excluded due to the lack of historical pricing.

The products that are most beneficial to buy now, based on the price reductions, are the game system and the DVD.

Final Answer