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Louie’s Leisure Products must choose between buying two machines with different lives

Finance Jan 13, 2021

Louie’s Leisure Products must choose between buying two machines with different lives. Machines A and B are designed differently, but have identical capacity and do the same job. Machine A costs $1000,000 and lasts 5 years. It costs 500,000 in the first year and $400,000 per year to operate in year 2-5. Machine B costs $400,000 and lasts 2 years. It costs $300,000 per year to operate. a. (6 marks) Which machine should the company acquire? The opportunity cost of capital is 6%. b. (2 marks) If the revenues were given, could you choose one of the machines by comparing the Internal Rate of Returns (IRR) of the two alternatives? Why?

Expert Solution

1.
Equivalent Annual Cost of Machine A=(100000+500000/1.06+400000/1.06^2+400000/1.06^3+400000/1.06^4+400000/1.06^5)*6%/(1-1/1.06^5)=446135.526876

Equivalent Annual Cost of Machine B=400000*6%/(1-1/1.06^2)+300000=518174.757282

Choose Machine A

2.
No as they have different lives

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