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Quality Air Condtioning manufactures three home air condationers; 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: For the coming production period, the company has 220 tan motors, 340 cooling coils, and 2,500 hours of manufacturing time available. How many economy models (E), standord medels (5), and deluxe models (D) should the company produce in erder to maximise proftc? The linear programming model for the problem is as follows: Maxs.t.63E+95S+135D1E+15+1D2201E+2S+1D3401E+12S+14D2,500FanmotorsCoolingcoilsManufacturingtime The computer solution is shown below. optinalabjectiveValue=1700.00000 (a) Identify the range of optimality for each objective function coefficient. (If there is no upper or lower limit, enter NO LIMIT.) ESDtototo (b) Suppose the profit for the economy model is increased by $6 per unit, the profit for the standard model is decreased by $2 per unit, and the profit for the deluxe model is increased by $4 per unit. What will the new optimal solution be? E5Dunitsunitsunits profit (c) Identify the range of feasbility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.) constraint 1 constraint 2 to constraint 3 (d) If the number of fan motors available for production is increased by 65, will the dual value for that constraint change? Explain. Yes, the dual value will change because 85 is greater than the allowable increase of 65 . Yes, the dual value will change because 85 is greater than the allowabie increase of 12 . No, the dual value will not change because there is no upper limit to how much the constraint can increase. No, the dual value will not change because 85 is less than the allowable increase of 285