ou 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 250 light fittings and 2,900 square feet of uninsulated exterior wall. To impress your friends, you would like to spend as much as possible, but save no more than $700 per year in energy costs (you are proud of your large utility bills). How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? How much will you save in energy costs (in dollars) per year? (If an answer does not exist, enter DNE.)   Compact fluorescent light bulbs=_______ Insulation=_________ft2 Total cost=$________ Energy costs savings=$_______ per year

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Energy Efficiency   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 250 light fittings and 2,900 square feet of uninsulated exterior wall. To impress your friends, you would like to spend as much as possible, but save no more than $700 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 (in dollars) per year? (If an answer does not exist, enter DNE.)
 
Compact fluorescent light bulbs=_______
Insulation=_________ft2
Total cost=$________
Energy costs savings=$_______ per year
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