Final answer:
I would choose Option B, which involves buying a newer car for $8000 with a $2000 down payment and a loan at 8% for a 3-year term. This option has no repairs for the first three years, and the total cost over time would be $29200.
Step-by-step explanation:
a) I would choose Option B, which involves buying a newer car for $8000 with a $2000 down payment and a loan at 8% for a 3-year term. This option has no repairs for the first three years, and although it requires monthly loan payments, it provides the advantage of driving a newer car with a lower risk of repairs compared to Option A.
b) To calculate the total cost of each vehicle over time, we need to consider the purchase price, repairs, and loan interest. For Option A, the total cost over time would be $2000 (car purchase) + ($250 x 12 months x 3 years) (repairs) = $9500. For Option B, the total cost over time would be $8000 (car purchase) + $2000 (down payment) + (loan interest) = $8000 + $2000 + (0.08 x 3 x $8000) = $8000 + $2000 + $19200 = $29200.