Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $69, $91, and $127, respectively. The production requireents per unit are as follows Manufacturing Time (hours) 8 12 14 Number of Number of Fans Cooling Coils Economy Standard Deluxe 2 4 For the coming production period, the company has 200 fan motors, 340 cooling coils, and 2800 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 69E 91S+ 127D 1E1S D s 200 Fan motors 1E+ 2S+ 4D340 Cooling coils 8E 12S 14D 2800 Manufacturing time