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Hagar Industrial Systems Company (HISC) is trying to decide between two differen

ID: 2724844 • Letter: H

Question

Hagar Industrial Systems Company (HISC) is trying to decide between two different conveyor belt systems. System A costs $200,000, has a four-year life, and requires $65,000 in pretax annual operating costs. System B costs $282,000, has a six-year life, and requires $59,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. HISC always needs a conveyor belt system; when one wears out, it must be replaced. Assume the tax rate is 30 percent and the discount rate is 9 percent. What is the EAC for each project using aftertax cash flows?

Explanation / Answer

particulars system A system B

1.cost of machine 200000 282000

2.life 4 years 6 years

3. operating expenses 65000 59000

4. depreciation per annum (1/2) 50000 47000

5. total expenses (3+4) 115000 106000

6. tax saving at 30% on(5) 34500 31800

7.PAT per annum(outflow)(5-6) 80500 74200

8.CFAT per annum=(7+4) 130500 121200

9. Anuity factor at 9% 3.239 4.485

10.EAI =(1)/(9) 61747.45 62876.25

11.EAC=(8-10) 68752.55 58323.75

since system B has least EAC , it may be selected.

(p.v of anuity factor =1/n to the power of(1+r) )