profit? The linear programming model for the problem is as follows: Max63E+95S+135Ds.t.1E+1S+1D240Fanmotors1E+2S+4D300Coolingcoils8E+12S+14DE,S,D2,500Manufacturingtime0 The computer solution is shown below. (a) Identify the range of optimality for each objective function coefficient. (If there is no upper or lower limit, enter NO LIMIT.) E to S to D to E S D profit units units 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 to constraint 3 to (d) If the number of fan motors available for production is increased by 80, will the dual value for that constraint change? Explain. Yes, the dual value will change because 80 is greater than the allowable increase of 12 . Yes, the dual value will change because 80 is greater than the allowable increase of 60 . No, the dual value will not change because 80 is less than the allowable increase of 300 . No, the dual value will not change because there is no upper limit to how much the constraint can increase