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: Number of Number of Cooling Cols Manufacturing Time hours Focy Standard Tebe 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 GE 954+ 1350 st 1D 200 un motors 1E+2+ 40 320 Cooling & 128 + 14D3400 Manufacturing time ESD 20 FIGURE 8.18 SENSITIVITY REPORT FOR THE QUALITY AIR CONDITIONING PROBLEM Ville Coille Model Variable All V Cuome Ne Howy Models Standard Model Il Mode 5 D 120 0.000 D. DO 340 Dhe 15.500 XOCO 10 12000 31 24000 . 135.000 Contri Me Aliwal Nam Fun Moto Cooling Manufacturing The Val 300.000 120.000 3000 P 31.000 32.000 0.000 RLS 200.000 32000 3400 NOCO 11:30 120.000 320 3 The sensitivity report is shown in Figure 8.18. a. What is the optimal solution, and what is the value of the objective function? b. Which constraints are binding? c. Which constraint shows extra capacity? How much? d. If the profit for the deluxe model were increased to $150 per unit, would the optimal solution change? Use the information in Figure 8.18 to answer this