A local sanitation authority needs to purchase a new garbage truck. The authority has two truck models under consideration. The purchase price for Model A is $90, 000. The maintenance and operation costs are $10,000/year. Model B is less expensive to acquire ($60,000 at purchase), but costs more on operation and maintenance. Details of the costs are shown in the table below. Interest rate is 4%. Please help this authority to decide which truck they should purchase. Year Model A Truck Model B Truck Purchase Price (beginning of year) $90,000 $60,000 Annual Operation and Maintenance (end of year) 1 $10,000 $20,000 2 $10,000 $20,000 3 $10,000 $20,000 4 $10,000 $20,000 Calculate the present values of total costs for Model A Truck and Model B Truck, respectively. (Interest rate: 4%) (2’) Present value of Model A Truck total costs: Present value of Model B Truck total costs: Which truck model should this authority choose? Why? (1’)
A local sanitation authority needs to purchase a new garbage truck. The authority has two truck models under consideration. The purchase price for Model A is $90, 000. The maintenance and operation costs are $10,000/year. Model B is less expensive to acquire ($60,000 at purchase), but costs more on operation and maintenance. Details of the costs are shown in the table below. Interest rate is 4%. Please help this authority to decide which truck they should purchase.
Year |
Model A Truck |
Model B Truck |
Purchase Price (beginning of year) |
$90,000 |
$60,000 |
Annual Operation and Maintenance (end of year) 1 |
$10,000 |
$20,000 |
2 |
$10,000 |
$20,000 |
3 |
$10,000 |
$20,000 |
4 |
$10,000 |
$20,000 |
- Calculate the present values of total costs for Model A Truck and Model B Truck, respectively. (Interest rate: 4%) (2’)
-
Present value of Model A Truck total costs:
-
Present value of Model B Truck total costs:
- Which truck model should this authority choose? Why? (1’)
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