Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $59, $97, and $127, 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	4	14

For the coming production period, the company has 250 fan motors, 340 cooling coils, and 2300 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	59E	+	97S	+	127D
s.t.
	1E	+	1S	+	1D		250	Fan motors
	1E	+	2S	+	4D		340	Cooling coils
	8E	+	12S	+	14D		2300	Manufacturing time
E, S, D 0

The sensitivity report is shown in figure below.

Optimal Objective Value = 17855.00000
		Variable		Value		Reduced Cost
		E		130.00000		0.00000
		S		105.00000		0.00000
		D		0.00000		-14.50000
		Constraint		Slack/Surplus		Dual Value
		Fan motors		15.00000		0.00000
		Cooling coils		0.00000		17.00000
		Manufacturing time		0.00000		5.25000

		Variable		Objective Coefficient		Allowable Increase		Allowable Decrease
		E		59.00000		2.90000		10.50000
		S		97.00000		21.00000		3.22222
		D		127.00000		14.50000		Infinite
		Constraint		RHS Value		Allowable Increase		Allowable Decrease
		Fan motors		250.00000		Infinite		15.00000
		Cooling coils		340.00000		43.33333		15.00000
		Manufacturing time		2300.00000		60.00000		260.00000

Identify the range of optimality for each objective function coefficient. If there is no lower limit, then enter 0 as your answer. If there is no upper limit, then enter the text "NA" as your answer. If required, round your answers to one decimal place.

	Objective Coefficient Range
Variable	lower limit	upper limit
E
S
D

Suppose the profit for the economy model (E) is increased by $6 per unit, the profit for the standard model (S) is decreased by $2 per unit, and the profit for the deluxe model (D) is increased by $4 per unit. What will the new optimal solution be? If required, round your answers to three decimal places.

Optimal Solution
E
S
D

If required, round the answer for Total Profit to two decimal places. Total Profit: $ _______________ Identify the range of feasibility for the right-hand-side values. If there is no lower limit, then enter 0 as your answer. If there is no upper limit, then enter the text "NA" as your answer. If required, round your answers to one decimal place.

	Right-Hand-Side-Range
Constraints	lower limit	upper limit
Fan motors
Cooling coils
Manufacturing time

If the number of manufacturing time available for production is increased by 100, will the dual value for that constraint change? Yes because the allowable increase for manufacturing time is_________________ without changing the optimal solution.