IDNLearn.com makes it easy to get reliable answers from knowledgeable individuals. Join our Q&A platform to access reliable and detailed answers from experts in various fields.
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 every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.
