Final answer:
The depreciation expense for Machine #201 can be calculated using the straight-line, sum-of-the-years'-digits, and double-declining-balance methods.
Step-by-step explanation:
The depreciation expense for Machine #201 can be calculated using different methods:
Straight-line method for 2025: The depreciation expense for the first year is equal to the cost of the machine divided by its useful life. In this case, it would be $95,200 / 8 years = $11,900.
Sum-of-the-years'-digits method for 2026: The depreciation expense for the second year can be calculated using the sum-of-the-years'-digits formula. First, calculate the total sum of the digits: 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36. Then, calculate the fraction for the second year: 7 / 36. Finally, multiply this fraction by the cost of the machine: (7 / 36) x $95,200 = $18,711.11.
Double-declining-balance method for 2025: The depreciation rate for this method is twice the straight-line rate, which is calculated as 1 / useful life. In this case, it would be 1 / 8 years = 0.125. Then, multiply this rate by the cost of the machine: 0.125 x $95,200 = $11,900.