the answer Scoring -13 FM7 5.2.031 You are thinking of making your home more ene

Question

the answer Scoring -13 FM7 5.2.031 You are thinking of making your home 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 fu 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.t Your home has 40 light fittings and 1,500 square feet of uninsulated exterior wall. You can spend no more than $1,600 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) t light bulb costs $4 and saves you an average compact fluorescent light bulbs bulbs sq ft

Explanation / Answer

Let x be number of bulbs replaced and y be square foots insulated.

Then, we have

0<=x<=40, 0<=y<=1500,

4x+y<=1600

with subject to maximization of

2x+0.2y

Solving this, we get

x=40 and y=1440.

Energy saving = 80+280=360.

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