production requirements per unit are as follows: deluxe models (D) should the compary produce in order to maximize profit? The linear programming model for the problem is as follows: Max 63E+95S+135D 5.t. 1E+15+1D2601E+25+8E+125+14DFanmotors1D3602,600E,S,D0CoolingcollsManufacturingtime The computer solution is shows below. (a) Identity the range of optimality for each objective function coethicient. (tt there is no upper or lower limis, enter No uMrr.) EsDtototo (b) Suppose the proft for the economy model is increased by $6 per unit, the profr for the standard model is decreased by $2 per unit, and the profin for the deluxe model is inereased by $4 per unit. What will the new optimal solution be? Es0profit$unitsuntsunts (c) Identity the range of feasibility tor the night-hand-side values. (tt there is no upper or lower limn, enter NO LIMIT.) constraint1constraint2constraint3tototo (d) If the number of fan motors available for preduction is increased by 50 , will the dual value for that constraint change? Explain. Yes, the dual value will change because 50is greater than the allowabie increase of 12 . Yes, the dual value will change because 50 is greater than the allowable increase of 30 . No, the dual value will not change becouse there is no upper limit to how much the constraint can increase. No, the dual value will not change becouse 50 is less than the allowable increase of 290