a)A new manufacturing unit will cost $1M to design and build at the beginning of the first year and $100K per year in maintenance costs, including the first year. The unit processes a stable commodity product, so the life of the project is considered infinite. The firm's opportunity cost of capital (i) is 10% per year. What is the capitalized equivalent cost?
b) A company wants to upgrade a material movement system in a factory an option with the following was proposed: The initial cost is $18,000. The equipment life is longer than the project service life, so the expected salvage value at the end of 10 years is $6,000. The annual O&M (operating and maintenance) costs is expected to be $13,000. What is the present worth of this project @ 12%?
Ans A)
Capitalized Cost= Initial Cost+ Present Value of Annual M&O cost
=1000000+100000/r
=1000000+100000/0.1
=$2000000
Ans B)
Present Worth of project = -(Initial Cost+present worth of annual cost)+present worth salvage Value
=-(18000+13000(P/A,12%,10))+6000(P/F,12%,10)
=-(18000+13000*5.650)+6000*0.3220
=-$89518
Present Worth of project @12% is -$89518
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