this problem has multiple parts could someone help me.

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 Manufacturing Time (hours) Fans Cooling Coils Economy 1 1 B Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 240 fan motors, 340 cooling colls, and 2,600 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 63E+ 955 + 1350 s.t. 1E+ 15 + 1E + 25 + 10 240 4D 340 Fan motors Cooling coils BE+ 125+ 14D 2,600 Manufacturing time L. 5, D 20 The computer solution is shown below. Optimal Objective Value 18320.00000 Variable Reduced Cont Value 140.00000 E 0.00000 5 100.00000 0.00000 D 0.00000 -24.00000 Constraint Slack/Burplus 1 0.00000 2 0.00000 3 280.00000 Objective Allowable Allowable Variable Coefficient Ingrease Decrease 63.00000 12000000 15.50000 a 95.00000 31.00000 8.00000 Finite 139.00000 24.00000 Allowable Allowanie Conatxaint AND Value Increase Decrease 1 240.00000 70.00000 70.00000 70.00000 100.00000 340.00000 2600,00000 Infinite 200,00000 (a) Identify the range of optimality for each obiective function coefficient If there is no upper or lower limit enter NO LIMIT Dual Value 31.00000 32.00000 0.00000 (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 (b) Suppose the profit for the economy model is increased by $6 per unit, the profit for the standard model is decreased by $2 per unit, and the profit for the deluxe model is increased by $4 per unit. What will the new optimal solution be? E units S units D units profit $ (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 to constraint 2 to constraint 3 to (d) If the number of fan motors available for production is increased by 100, will the dual value for that constraint change? Explain. O Yes, the dual value will change because 100 is greater than the allowable increase of 70. O Yes, the dual value will change because 100 is greater than the allowable increase of 12.. O No, the dual value will not change because 100 is less than the allowable increase of 310. O No, the dual value will not change because there is no upper limit to how much the constraint can increase