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Alpha Electronics can purchase a needed service for $80 per unit. The same servi

ID: 2758954 • Letter: A

Question

Alpha Electronics can purchase a needed service for $80 per unit. The same service can be provided by equipment that costs $85,000 and that will have a salvage value of zero at the end of 10 years. Annual operating costs for the equipment will be $7,000 per year plus $25 per unit produced. MARR is 9.0%/year.

What is the future worth of the equipment if the expected production is 200 units/year?

What is the future worth of the equipment if the expected production is 500 units/year?

Determine the breakeven value for annual production that will return MARR on the investment in the new equipment.

Explanation / Answer

Year Annual operating cost variable cost @ 200 units level variable cost @ 300 units level saving @ 200 unit level saving @ 300 unit level Future worth at 9% @ 200 level Future worth at 9% @ 300 level 0          85,000 1            7,000          5,000          7,500         4,000         9,500          4,360          10,355 2            7,000          5,000          7,500         4,000         9,500          4,752          11,287 3            7,000          5,000          7,500         4,000         9,500          5,180          12,303 4            7,000          5,000          7,500         4,000         9,500          5,646          13,410 5            7,000          5,000          7,500         4,000         9,500          6,154          14,617 6            7,000          5,000          7,500         4,000         9,500          6,708          15,932 7            7,000          5,000          7,500         4,000         9,500          7,312          17,366 8            7,000          5,000          7,500         4,000         9,500          7,970          18,929 9            7,000          5,000          7,500         4,000         9,500          8,688          20,633 10            7,000          5,000          7,500         4,000         9,500          9,469          22,490

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