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Sagot :
To address this question, we need to compare the total costs associated with each option provided: buying new, leasing new, and buying used. We will break down the costs for each option:
### Option A: Buy New
- Monthly Payment: \[tex]$338 for 60 months - Total Monthly Payments: \(338 \times 60 = 20,280\) - Upfront Cost: \$[/tex]2,500
- Insurance and Gas: \[tex]$275 per month for 60 months - Total Insurance and Gas Cost: \(275 \times 60 = 16,500\) Total Cost (Option A): \[ 20,280 (\text{total monthly payments}) + 2,500 (\text{upfront cost}) + 16,500 (\text{insurance and gas}) = 39,280 \] ### Option B: Lease New - Monthly Payment: \$[/tex]229 for 36 months
- Total Monthly Payments: [tex]\(229 \times 36 = 8,244\)[/tex]
- Upfront Cost: \[tex]$3,925 - Insurance and Gas: \$[/tex]275 per month for 36 months
- Total Insurance and Gas Cost: [tex]\(275 \times 36 = 9,900\)[/tex]
Total Cost (Option B):
[tex]\[ 8,244 (\text{total monthly payments}) + 3,925 (\text{upfront cost}) + 9,900 (\text{insurance and gas}) = 22,069 \][/tex]
### Option C: Buy Used
- Monthly Payment: \[tex]$250 for 36 months - Total Monthly Payments: \(250 \times 36 = 9,000\) - Upfront Cost: \$[/tex]2,000
- Insurance and Gas: \[tex]$225 per month for 36 months - Total Insurance and Gas Cost: \(225 \times 36 = 8,100\) Total Cost (Option C): \[ 9,000 (\text{total monthly payments}) + 2,000 (\text{upfront cost}) + 8,100 (\text{insurance and gas}) = 19,100 \] Given these calculations, let's determine the main disadvantage of leasing a vehicle compared to buying one: - Upfront Cost: The upfront cost for leasing (\$[/tex]3,925) is higher than buying used (\[tex]$2,000) and buying new (\$[/tex]2,500).
- Monthly Payments: The monthly payment for leasing (\[tex]$229) is lower than buying new (\$[/tex]338) and close to buying used (\[tex]$250). - Length of Payments: Leasing payments (36 months) are shorter than buying new (60 months) but equal to buying used (36 months). - Cost of Insurance and Gas: The insurance and gas cost for leasing and buying new are the same (\$[/tex]275 per month), and both are higher than buying used (\$225 per month).
Conclusion: The main disadvantage of leasing a vehicle compared to buying (either new or used) is the up-front cost.
### Option A: Buy New
- Monthly Payment: \[tex]$338 for 60 months - Total Monthly Payments: \(338 \times 60 = 20,280\) - Upfront Cost: \$[/tex]2,500
- Insurance and Gas: \[tex]$275 per month for 60 months - Total Insurance and Gas Cost: \(275 \times 60 = 16,500\) Total Cost (Option A): \[ 20,280 (\text{total monthly payments}) + 2,500 (\text{upfront cost}) + 16,500 (\text{insurance and gas}) = 39,280 \] ### Option B: Lease New - Monthly Payment: \$[/tex]229 for 36 months
- Total Monthly Payments: [tex]\(229 \times 36 = 8,244\)[/tex]
- Upfront Cost: \[tex]$3,925 - Insurance and Gas: \$[/tex]275 per month for 36 months
- Total Insurance and Gas Cost: [tex]\(275 \times 36 = 9,900\)[/tex]
Total Cost (Option B):
[tex]\[ 8,244 (\text{total monthly payments}) + 3,925 (\text{upfront cost}) + 9,900 (\text{insurance and gas}) = 22,069 \][/tex]
### Option C: Buy Used
- Monthly Payment: \[tex]$250 for 36 months - Total Monthly Payments: \(250 \times 36 = 9,000\) - Upfront Cost: \$[/tex]2,000
- Insurance and Gas: \[tex]$225 per month for 36 months - Total Insurance and Gas Cost: \(225 \times 36 = 8,100\) Total Cost (Option C): \[ 9,000 (\text{total monthly payments}) + 2,000 (\text{upfront cost}) + 8,100 (\text{insurance and gas}) = 19,100 \] Given these calculations, let's determine the main disadvantage of leasing a vehicle compared to buying one: - Upfront Cost: The upfront cost for leasing (\$[/tex]3,925) is higher than buying used (\[tex]$2,000) and buying new (\$[/tex]2,500).
- Monthly Payments: The monthly payment for leasing (\[tex]$229) is lower than buying new (\$[/tex]338) and close to buying used (\[tex]$250). - Length of Payments: Leasing payments (36 months) are shorter than buying new (60 months) but equal to buying used (36 months). - Cost of Insurance and Gas: The insurance and gas cost for leasing and buying new are the same (\$[/tex]275 per month), and both are higher than buying used (\$225 per month).
Conclusion: The main disadvantage of leasing a vehicle compared to buying (either new or used) is the up-front cost.
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