solution

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	4	14

For the coming production period, the company has 220 fan motors, 340 cooling coils, 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	+	95S	+	135D
s.t.
	1E	+	1S	+	1D	=	220	Fan motors
	1E	+	2S	+	4D	=	340	Cooling coils
	8E	+	12S	+	14D	=	2,600	Manufacturing time
					E, S, D	=	0

The computer solution is shown below.

Optimal Objective Value = 17700.00000

Variable	Value	Reduced Cost
E	100.00000	0.00000
S	120.00000	0.00000
D	0.00000	-24.00000

Constraint	Slack/Surplus	Dual Value
1	0.00000	31.00000
2	0.00000	32.00000
3	360.00000	0.00000

Variable	Objective Coefficient	Allowable Increase	Allowable Decrease
E	63.00000	12.00000	15.50000
S	95.00000	31.00000	8.00000
D	135.00000	24.00000	Infinite

Constraint	RHS Value	Allowable Increase	Allowable Decrease
1	220.00000	90.00000	50.00000
2	340.00000	90.00000	120.00000
3	2600.00000	Infinite	360.00000

(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,