to maximize profit? The linear programming model for the problem is as follows: Max63E+95S+135Ds.t.1E+1S+1D260Fanmotors1E+2S+4D340Coolingcoils8E+12S+14D2,600ManufacturingtimeE,S,D0 The computer solution is shown below. Optimal Obiective Value =18940.00000 (a) Identify the range of optimality for each objective function coefficient. (If there is no upper or lower limit, enter NO LIMIT.) ESDtototo ESDprofit$unitsunitsunits (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 to (d) If the number of fan motors available for production is increased by 70 , will the dual value for that constraint change? Explain. Yes, the dual value will change because 70 is greater than the allowable increase of 12 . Yes, the dual value will change because 70 is greater than the allowable increase of 50 . 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 70 is less than the allowable increase of 310