Answer:
(1) Straight-line.
Year 1 depreciation expense = $6,500
Year 2 depreciation expense = $6,500
(2) Double-declining-balance.
Year 1 depreciation expense = $16,000
Year 2 depreciation expense = $8,000
(3) Activity-based.
Year 1 depreciation expense = $7,000
Year 1 depreciation expense = $7,600
Explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Speedy Delivery Company purchases a delivery van for $32,000. Speedy estimates that at the end of its four-year service life, the van will be worth $6,000. During the four-year period, the company expects to drive the van 130,000 miles. Actual miles driven each year were 35,000 miles in year 1 and 38,000 miles in year 2.
Required:
Calculate annual depreciation for the first two years of the van using each of the following methods.
(1) Straight-line.
(2) Double-declining-balance.
(3) Activity-based.
The explanation of the answers is now given as follows:
(1) Straight-line.
Depreciable amount = Cost of the delivery van – Salvage value = $32,000 - $6,000 = $26,000
Annual depreciation rate = 1 / Number of useful years = 1 / 4 = 0.25, or 25%
Year 1 depreciation expense = Depreciable amount * Annual depreciation rate = $26,000 * 25% = $6,500
Year 2 depreciation expense = Depreciable amount * Annual depreciation rate = $26,000 * 25% = $6,500
(2) Double-declining-balance.
Note: The salvage value is taken care of in the computation of the depreciation expense for the last useful year under the double-declining-balance method.
Therefore, we have:
Cost of the delivery van = $32,000
Annual depreciation rate = Straight line annual depreciation rate * 2 = 25% * 2 = 50%
Year 1 depreciation expense = Cost of the delivery van * Annual depreciation rate = $32,000 * 50% = $16,000
Book value at the end of year 1 = Cost of the delivery van - Year 1 depreciation expense = $36,000 - $16,000 = $16,000
Year 2 depreciation expense = Book value at the end of year 1 * Annual depreciation rate = $16,000 * 50% = $8,000
(3) Activity-based.
Depreciable amount = Cost of the delivery van – Salvage value = $32,000 - $6,000 = $26,000
Depreciation rate = Actual miles driven each year / Expected driven miles for four years ……….. (1)
Depreciation expense for each year = Depreciable amount * Depreciation rate …………… (2)
Using equations (2), we have:
Year 1 depreciation expense = $26,000 * (35,000 / 130,000) = $7,000
Year 1 depreciation expense = $26,000 * (38,000 / 130,000) = $7,600
.Therefore,initially Bill diner's opportunity cost of an additional hot dog is 1.4 units of burger.
approximately.Hence,Bill's diner is willing to sacrifice approximately 0.385 units of burger to consume an additional unit of hot dog.
units of burger.Notice,that here the opportunity cost of additional hot dog decreased from 1.4 units of burger to 0.385 units of burger as Bill's diner changed the consumption combination of both burgers and hot dogs.