You are watching: Suppose the cost of an incandescent bulb

This is College Physics Answers via Shaun Dychko. This question is asking how a lot have to we be willing to pay for a fluorescent light bulb such that the total price of operating it for a thousand also hours would be the same as the complete price of operating an incandescent light bulb here? So the incandescent bulb has an upfront cost of 25 cents to buy it plus it consumes 60 watts of power and we"ll rotate that into kilowatts by multiplying by 1 kilowatt for every 1000 watts and also then multiply by 1000 hrs because that"s the amount of time that we are told that it will certainly operate for that"s most likely, you understand, the supposed lifetime of the bulb before it burns out and also so we obtain kilowatt-hours below which we then multiply by 0.10 dollars per kW·h and also the kilowatts and also the hours both cancel and also we are left with $6.25 is the full cost for the incandescent bulb that is the upfront cost plus the operating expense. So for the fluorescent bulb, we have some unknown upfront expense that we want to uncover plus the cost of operating it and also the textbook has actually an example of 15 watts for a fluorescent bulb many bulbs are actually much less wattage than this but let"s assume this is what we have. So 15 watts times 1 kilowatt for every 1000 watts gives us kilowatts and then we multiply that by the number of hours—1000 hours— and then multiply by this rate for the electrical energy and we finish up with some upfront expense x plus a $1.50 to run it. So the complete price of the fluorescent is intended to equal the complete price of the incandescent bulb so that"s x plus $1.5 of operating price amounts to the full price of the incandescent of $6.25. So we subtract a $1.50 from both sides and we end up with $4.75 would certainly be the breakalso upfront price that we would certainly be willing to pay for the compact fluorescent. So considering just expense as a variable, if one was to check out a bulb on sale for less than this then it would certainly make financial feeling to buy it.

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