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The Board members of Work Lumber Mill company is considering a vision system to spot and remove Defects in incoming wood

Accounting Nov 05, 2020

The Board members of Work Lumber Mill company is considering a vision system to spot and remove Defects in incoming wood. Purchase and installation of the system costs $70,000 annual savings due to improved quality and material utilization are $55,000 per year. The system will be depreciated by MACRS using a 7 year recovery period class. Annual Maintenance expenses will be $35,000. The system will be used for 10 years and will have a $10,000 salvage value in year 10. The effective tax rate is 40% per year. Calculate CFBT and CFAT.

Expert Solution

Solution -

Computation of CFBT and CFAT

Year

CFBT

A

Depreciation rate      by MACRS

B

Annual depreciation

C=70000*Rate

Taxable income

D=A-C

Taxes at 40%

E=D*0.4

CFAT

F=A-E

1 20000 14.29 10003 9997 3998.8 16001.2
2 20000 24.49 17143 2857 1142.8 18857.2
3 20000 17.49 12243 7757 3102.8 16897.2
4 20000 12.49 8743 11257 4502.8 15497.2
5 20000 8.93 6251 13749 5499.6 14500.4
6 20000 8.92 6244 13756 5502.4 14497.6
7 20000 8.93 6251 13749 5499.6 14500.4
8 20000 4.46 3122 16878 6751.2 13248.8
9 20000 - - 20000 8000 12000
10 20000 - - 30000 12000 12000

Total CFBT=210,000 Total CFAT= 161,244.8

Before tax cash flows (BTCF) will be annual savings- Annual Maintenance Expenses

BTCF=55000-35000= 20000 P.A.

*Depreciation will be charged on cost=70000

*MACRS depreciation rate has been taken from IRS guidelines.

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