Light emitting diode (LED) light bulbs have become required in recent years, but do they make financial sense? Suppose a typical 60-watt incandescent light bulb costs $.40 and lasts for 1,000 hours. A 15 - watt LED, which provides the same light, costs $3.15 and lasts for 12,000 hours. A kilowatt-hour is 1,000 watts for 1 hour. Suppose you have a residence with a lot of incandescent bulbs that are used on average 500 hours a year. The average bulb will be about halfway through its life, so it will have 500 hours remaining (and you can't tell which bulbs are older or newer). If you require a return of 10 percent, at what cost per kilowatt-hour does it make sense to replace your incandescent bulbs today? (A

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Light emitting diode (LED) light bulbs have become required in recent years, but
do they make financial sense? Suppose a typical 60-watt incandescent light bulb
costs $.40 and lasts for 1,000 hours. A 15 - watt LED, which provides the same
light, costs $3.15 and lasts for 12,000 hours. A kilowatt-hour is 1,000 watts for 1
hour. Suppose you have a residence with a lot of incandescent bulbs that are
used on average 500 hours a year. The average bulb will be about halfway
through its life, so it will have 500 hours remaining (and you can't tell which bulbs
are older or newer). If you require a return of 10 percent, at what cost per
kilowatt-hour does it make sense to replace your incandescent bulbs today? (A
negative answer should be indicated by a minus sign. Do not round intermediate
calculations and round your answer to 6 decimal places, e.g., 32.161616.)
Transcribed Image Text:Light emitting diode (LED) light bulbs have become required in recent years, but do they make financial sense? Suppose a typical 60-watt incandescent light bulb costs $.40 and lasts for 1,000 hours. A 15 - watt LED, which provides the same light, costs $3.15 and lasts for 12,000 hours. A kilowatt-hour is 1,000 watts for 1 hour. Suppose you have a residence with a lot of incandescent bulbs that are used on average 500 hours a year. The average bulb will be about halfway through its life, so it will have 500 hours remaining (and you can't tell which bulbs are older or newer). If you require a return of 10 percent, at what cost per kilowatt-hour does it make sense to replace your incandescent bulbs today? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 6 decimal places, e.g., 32.161616.)
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