Hello! please answer all 10 questions clearly please its sometimes hard to understand the experts please thank you!

3. [-/20 Points) DETAILS ASWMSC115 3.E.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 Fans Number of Cooling Coils Manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 14 For the coming production period, the company has 260 fan motors, 360 cooling coils, and 2,500 hours of manufacturing time available. How many economy models (E), standard models (5), 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 + 95S + 1350 st 1E + 15 + 10 S 260 Fan motors 1E + 2S + 40 S 360 Cooling coils 8E + 12S + 140 5 2,500 Manufacturing time E,S,D 0 The computer solution is shown below. Optimal objective Value - 195B0.00000 Variable E S D Value 160.00000 100.00000 0.00000 Reduced Cost 0.00000 0.00000 - 24.00000 Constraint 1 2 3 Slack/Surplus 0.00000 0.00000 20.00000 Dual Value 31.00000 32.00000 0.00000 Variable Objective Coefficient 63.00000 95.00000 135.00000 Allowable Increase 12.00000 31.00000 24.00000 Allowable Decroso 15.50000 8.00000 Infinite 5 D Constraint RHS Value 260.00000 360.00000 2500.00000 Allowable Increase 5.00000 5.00000 Infinite Allowable Decrease 80.00000 100.00000 20.00000 Apps (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 (6) 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? units E S units units D pront $ (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 35, will the dual value for that constraint change? Explain. Yes, the dual value will change because 35 is greater than the allowable increase of 5. Yes, the dual value will change because 35 is greater than the allowable increase of 12. No, the dual value will not change because 35 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