Cost-Benefit Analysis
Info:
$ 100 – Motion sensor
36-W twin light bulb
$.09 per kWh, average cost for power in NC in May 2006
-Average 6 hours a day of lights off (best estimate based on observation of hall usage assuming the lights will be mostly off during the hours of 3AM-8AM) / leave the lights on during peak times 10AM-10PM, put it on timer the rest of the day, go to timer from 10PM-10AM
Initial Calculations:
72 (amount of watts per hour for light bulb due to two tubes in each) x hours = number kWh per light
24 hours a day = 1.73 kWh
18 hours a day = 1.30 kWh
Formula:
Number of lights in hallway x (1.73 or 1.30) = per hour for the hallway
Hallway x 24 or 18 x 7 days a week x 52 weeks = usage per year
(Usage per year x .09) + 100 = cost
Cost per 24 – cost per 18 = savings
Calculations:
9 bulbs x 1.73 kWh = 15.57 kWh per 24 hours for the hallway
15.57 kWh x 7 days a week x 52 weeks a year = 5667.5 kWh per year
5667.5 kWh per year x .09 per hour = $510 for one year without motion sensors
9 bulbs x 1.30 kWh = 11.7 kWh per 18 hours
11.7 x 7 x 52 = 4258.8 kWh per year
4258 kWh per year x .09 per hour = $383 for one year with motion sensors
$510 - $383 = $127 savings per year for one hall in Babcock residence hall
Note:
A) The $127 savings does not include the $100 for motions sensor and installation, but that would be a one time cost while the $127 would be saved every year.
B) One thing we did not factor in was the effect of turning the lights on and off. It would have some impact, but not enough to overcome the 127 dollars saved.
In our opinion it would be very beneficial to have motion sensors in the hall way.
