Final answer:
The total increase in income by replacing the current spotter truck with the new truck, after considering the trade-in value, savings on variable costs, and the cost of the new truck, would be a $28,400 increase.
Step-by-step explanation:
To determine the total increase or decrease in income by replacing the current spotter truck with a new one, we need to consider the trade-in value of the old truck, the cost savings in variable manufacturing costs, and the cost of the new truck.
- The trade-in value of the old truck is $32,900.
- The new truck will reduce variable manufacturing costs by $26,900 per year.
- Over five years, the savings on variable costs would be $26,900 x 5 = $134,500.
- The cost to purchase the new truck is $139,000.
- So, the net change in cost after the trade-in would be $139,000 - $32,900 = $106,100.
- The total savings over five years is $134,500, and the net cost is $106,100, leading to an overall increase in income of $134,500 - $106,100 = $28,400 increase.