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A new energy business is considering selling and installing three types of alternative energy systems for residential homes in addition to its conventional system (conv). The first is a thermal solar (solar1) hot water system that provides both hot water and heat to the home. The second is a solar system (solar2) that provides electricity to the home. The third is a geothermal (geo) heating and cooling system. The business has 10 installers and faces the following parameters for the year:
conv
solar1
solar2
geo
Endowment
Profit/unit
$2,000
$1,500
$2,500
$1,000
Labor (weeks)
0.5
1.0
1.5
0.75
520
The firm has four goals: Goal 1: Make at least $1,500,000 per year from the sale of these four systems Goal 2: Sell at least 160solar1 systems each year
Goal 3: Sell at least 160solar2 systems each year
Goal 4: Sell at least 160geo systems each year
Formulate and solve the profit maximizing solution to this exercise ignoring the four goals.
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