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 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 home has 80 light fittings and 1,200 square feet of uninsulated exterior wall. You can spend no more than $1,300 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? How much will you save in energy costs per year?

Let x = number of compact fluorescent light bulbs, let y = number of square feet of insulation, and let s = cost savings (in dollars). Determine the objective and the constraints needed to solve the problem.

s=

Constraints are?

After you add an object to the graph you can use Graph Layers to view and edit its properties. Determine the coordinates of all corner points. The maximum value of s occurs at which corner point? (x,y)=() State the maximum value of s. s= How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? compact fluorescent light bulbs bulbs insulation sq ft How much will you save in energy costs per year (in dollars)? $ After you add an object to the graph you can use Graph Layers to view and edit its properties. Determine the coordinates of all corner points. The maximum value of s occurs at which corner point? (x,y)=() State the maximum value of s. s= How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? compact fluorescent light bulbs bulbs insulation sq ft How much will you save in energy costs per year (in dollars)? $