to maximize profit? The linear programming model for the problem is as follows: Max 63E+95S+135D s.t. 1E+1S+1D220 Fan motors 1E+2S+4D360 Cooling coils 8E+12S+14D2,500 Manufacturing time E,S,D0 The computer solution is shown below. OptimalObjectiveValue=18340.00000 (a) Identify the range of optimality for each objective function coefficient. (If there is no upper or lower limit, enter NO LIMIT.) E units S D units (c) Identify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.) constraint 1 constraint 2 constraint 3 to to to (d) If the number of fan motors available for production is increased by 75 , will the dual value for that constraint change? Explain. Yes, the dual value will change because 75 is greater than the allowable increase of 12 . Yes, the dual value will change because 75 is greater than the allowable increase of 45 . No, the dual value will not change because 75 is less than the allowable increase of 265 . No, the dual value will not change because there is no upper limit to how much the constraint can increase