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You are thinking of making your mansion more energy efficient by replacing some

ID: 2854140 • Letter: Y

Question

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your mansion has 100 light fittings and 3200 sq ft of uninsulated exterior wall. To impress your friends, you would like to spend as much as possible, but save no more than $900 per year in energy costs (you are proud of your large utility bills). How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? How much will you save in energy costs per year? (If an answer does not exist, enter DNE.)

compact fluorescent light bulbs = ____________

insulation=_______ ft2

total cost = $________

energy costs savings= $__________ per year

compact fluorescent light bulbs = ____________

insulation=_______ ft2

total cost = $________

energy costs savings= $__________ per year

Explanation / Answer

let's say you do all replacements then you save 100*2+3200*0.2 =$840

which is less than $900 .so you would want to replace all 100 bulbs and insulate 3200 sq.ft wall

no .of bulbs = 100 -----answer1

insulation = 3200 -----ANSWER 2

total cost = 100*4 +3200*1 = $3600

total savings = 100*2 +3200*0.2 = $840

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