Final answer:
Safety Truck Company has a loss of $29,900 on the transaction.
Step-by-step explanation:
To calculate Safety Truck Company's gain or loss on the transaction, we need to compare the trade-in value of the Mack truck with its book value. The book value can be calculated by subtracting the accumulated depreciation from the original cost of the truck. Since the truck was acquired in 2021 and it is now 2024, the truck has been in service for 4 years. Based on the units-of-production method, the depreciation cost per mile is calculated as:
Depreciation Cost per Mile = (Original Cost - Residual Value) / Estimated Total Miles
Using the given information, the depreciation cost per mile is:
(450,000 - 70,000) / 1,000,000 = $0.38
The total accumulated depreciation for the truck after driving 78,000 miles in 2021, 140,000 miles in 2022, and 175,000 miles in 2023 is:
(78,000 + 140,000 + 175,000) * $0.38 = $149,100
The book value of the Mack truck in 2024 before the trade-in is:
Book Value = Original Cost - Accumulated Depreciation
Book Value = 450,000 - 149,100 = $300,900
The fair market value of the new Freightliner truck is $300,000 and Safety Truck Company also paid $29,000 in cash. Therefore, the gain or loss on the transaction is:
Gain/Loss = Fair Market Value of New Truck - Book Value of Old Truck - Cash Paid
Gain/Loss = 300,000 - 300,900 - 29,000 = -$29,900
Therefore, Safety Truck Company has a loss of $29,900 on the transaction.