Computing first-year depreciation and book value At the beginning of the year, Austin Airlines purchased a used airplane for $33,500,000. Austin Airlines expects the plane to remain useful for five years (4,000,000 miles) and to have a residual value of $5,500,000. The company expects the plane to be flown 1,100,000 miles during the first year.

Requirements

1. Compute Austin Airlinesâs first-year depreciation expense on the plane using the following methods:

a. Straight-line

b. Units-of-production

c. Double-declining-balance

2. Show the airplaneâs book value at the end of the first year for all three methods.

1. Compute Austin Airlines' first-year depreciation expense on the plane using the following methods:

a. Straight-line

depreciation expense for first year = ($33,500,000 - $5,500,000) / 5 = $5,600,000 per year

b. Units-of-production

depreciation per mile = ($33,500,000 - $5,500,000) / 4,000,000 = $7 per mile

depreciation expense for first year = $7 x 1,100,000 = $7,700,000

c. Double-declining-balance

depreciation expense for first year = 2 x 1/5 x $33,500,000 = $13,400,000

2. Show the airplane's book value at the end of the first year for all three methods.

a. Straight-line

book value at end of first year = $27,900,000

b. Units-of-production

 book value at end of first year = $25,800,000

c. Double-declining-balance

book value at end of first year = $20,100,000

Explanation:

Purchase cost = $33,500,000

useful life of 5 years (or 4,000,000 miles) and residual value of $5,500,000

expected use during first year of 1,100,000 miles