Mid-Valley Industrial Extension Service, a state-spon­sored agency, provides water quality sampling services to all business and industrial firms in a 10-county region. Last month, the service purchased all necessary lab equip­ment for full in-house testing and analysis. Now, an out­sourcing company has offered to take over this function on a per-sample basis. Data and quotes for the two options have been collected. The MARR for government projects is 5% per year and a study period of 8 years is chosen.

In-house: Equipment and supplies initially cost $125,000 for a life of 8 years, an AOC of $15,000, and annual salaries of $175,000. Sample costs average $25. There is no significant salvage value for the equipment and supplies cur­rently owned.

Outsourced: Cost averages $100 per sample for the first 5 years, increasing to $125 per sample for years 6 through 8.

The service director has asked the outsource com­pany to reduce the per sample costs by 25% across the board over the 8 years. Will this increase or decrease the breakeven point? (Hint: Look care­fully at your graph from the previous problem be­fore answering.) Determine the breakeven point by hand and using your spreadsheet.


By hand: It will raise the breakeven point. Outsourcing will cost $75, increasing to

$93.75, which is an $18.75 increase per sample in years 6-8. Resolve for N.



-125,000(A/P,5%,8) – 190,000 -25N = -75N – 18.75N(F/A,5%,3)(A/F,5%,8)

[50 + 18.75(3.1525)(0.10472)]N = 125,000(0.15472) + 190,000

56.19N = 209,340

N = 3726 tests per year

By spreadsheet: Simply change the entries in the cost cells for outsourced. New

breakeven is approximately 3700 tests per year, as calculated above

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