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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