AA 12. Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $63, $95, and $135, respectively. The production requirements per unit are as follows: SELFtest 1 8 1 Number of Fans Number of Manufacturing Cooling Coils Time (hours) Economy 1 Standard 2 12 Deluxe 1 4 14 For the coming production period, the company has 200 fan motors, 320 cooling coils, and 2400 hours of manufacturing time available. How many economy models (E), standard models (S), and deluxe models (D) should the company produce in order to maximize profit? The linear programming model for the problem is as follows: Max 63 E + 95S + 135D s.t. 1E + 1S + 1E + 2S + 10