Final answer:
The total cost of the lathe is $94,013.44.
Step-by-step explanation:
To find the total cost of the lathe, we need to add the down payment to the total amount financed. The down payment is 20% of $73,900, which is $14,780.
The financed amount is the remaining balance after the down payment, which is $73,900 - $14,780 = $59,120.
Now, we need to calculate the total cost of the lathe by adding the monthly payments over the course of 36 months. The total cost is $59,120 + (36 x $1,893.79) = $94,013.44.