Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
To determine the most cost-effective way to purchase items from B-Better Electronics, we need to calculate the final costs for both shopping methods—physically in-store and online—by considering discounts, sales tax, and shipping costs. Below is a detailed, step-by-step solution to this problem:
### Physical Store Purchase
1. Calculating Total Cost Before Discounts and Taxes:
- Headphones: [tex]\(1 \times \$14.99 = \$14.99\)[/tex]
- DVDs: [tex]\(4 \times \$13.95 = \$55.80\)[/tex]
- CDs: [tex]\(2 \times \$9.85 = \$19.70\)[/tex]
Summing these amounts gives us the total cost:
[tex]\[ \$14.99 + \$55.80 + \$19.70 = \$90.49 \][/tex]
2. Applying 20% Discount:
- Discount amount: [tex]\(0.20 \times \$90.49 = \$18.098\)[/tex]
Subtract the discount from the total cost:
[tex]\[ \$90.49 - \$18.098 = \$72.392 \][/tex]
3. Applying Sales Tax of 7.5%:
- Sales tax: [tex]\(0.075 \times \$72.392 = \$5.4294\)[/tex]
Add the sales tax to the discounted price:
[tex]\[ \$72.392 + \$5.4294 = \$77.8214 \][/tex]
Thus, the final cost for purchasing in the physical store is:
[tex]\[ \$77.8214 \][/tex]
### Online Store Purchase
1. Calculating Total Cost Before Discounts and Shipping:
- Headphones: [tex]\(1 \times \$13.50 = \$13.50\)[/tex]
- DVDs: [tex]\(4 \times \$14.99 = \$59.96\)[/tex]
- CDs: [tex]\(2 \times \$10.99 = \$21.98\)[/tex]
Summing these amounts gives us the total cost:
[tex]\[ \$13.50 + \$59.96 + \$21.98 = \$95.44 \][/tex]
2. Applying [tex]$20.00 Discount: - Discount amount: \(\$[/tex]20.00\)
Subtract the discount from the total cost:
[tex]\[ \$95.44 - \$20.00 = \$75.44 \][/tex]
3. Considering Shipping Costs:
- Since the total after discount (\[tex]$75.44) is above the free shipping threshold of \$[/tex]75.00, the shipping cost is \[tex]$0.00. Hence, the final cost for purchasing online is: \[ \$[/tex]75.44
\]
### Decision on Purchasing Method
Comparing the final costs:
- Physical store: [tex]\(\$77.8214\)[/tex]
- Online store: [tex]\(\$75.44\)[/tex]
The most cost-effective option is to purchase the items online, with a total cost of [tex]\(\$75.44\)[/tex]. This option saves you the most money.
### Physical Store Purchase
1. Calculating Total Cost Before Discounts and Taxes:
- Headphones: [tex]\(1 \times \$14.99 = \$14.99\)[/tex]
- DVDs: [tex]\(4 \times \$13.95 = \$55.80\)[/tex]
- CDs: [tex]\(2 \times \$9.85 = \$19.70\)[/tex]
Summing these amounts gives us the total cost:
[tex]\[ \$14.99 + \$55.80 + \$19.70 = \$90.49 \][/tex]
2. Applying 20% Discount:
- Discount amount: [tex]\(0.20 \times \$90.49 = \$18.098\)[/tex]
Subtract the discount from the total cost:
[tex]\[ \$90.49 - \$18.098 = \$72.392 \][/tex]
3. Applying Sales Tax of 7.5%:
- Sales tax: [tex]\(0.075 \times \$72.392 = \$5.4294\)[/tex]
Add the sales tax to the discounted price:
[tex]\[ \$72.392 + \$5.4294 = \$77.8214 \][/tex]
Thus, the final cost for purchasing in the physical store is:
[tex]\[ \$77.8214 \][/tex]
### Online Store Purchase
1. Calculating Total Cost Before Discounts and Shipping:
- Headphones: [tex]\(1 \times \$13.50 = \$13.50\)[/tex]
- DVDs: [tex]\(4 \times \$14.99 = \$59.96\)[/tex]
- CDs: [tex]\(2 \times \$10.99 = \$21.98\)[/tex]
Summing these amounts gives us the total cost:
[tex]\[ \$13.50 + \$59.96 + \$21.98 = \$95.44 \][/tex]
2. Applying [tex]$20.00 Discount: - Discount amount: \(\$[/tex]20.00\)
Subtract the discount from the total cost:
[tex]\[ \$95.44 - \$20.00 = \$75.44 \][/tex]
3. Considering Shipping Costs:
- Since the total after discount (\[tex]$75.44) is above the free shipping threshold of \$[/tex]75.00, the shipping cost is \[tex]$0.00. Hence, the final cost for purchasing online is: \[ \$[/tex]75.44
\]
### Decision on Purchasing Method
Comparing the final costs:
- Physical store: [tex]\(\$77.8214\)[/tex]
- Online store: [tex]\(\$75.44\)[/tex]
The most cost-effective option is to purchase the items online, with a total cost of [tex]\(\$75.44\)[/tex]. This option saves you the most money.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.