Suppose that you defined the following SETS for the optimization model:

Product profit number;

Resource avail;

Manufacture (Resource, product): required;

Question (true or false):

1. economy is a member of the set Product

2. Manufacturing time is an attribute/ characteristic of the members of Resource

3. The decision variables are part of the Product set

12. 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. respec- tively. The production requirements per unit are as follows: Economy Standard Deluxe Number of Fans 1 1 1 Number of Cooling Coils 1 2 4 Manufacturing Time (hours) 8 12 14 For the coming production period, the company has 200 fan motors, 320 cooling coils, and 2400 hours of manufacturing time available. How many economy models (E), stan- dard 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.I. IE + 1S + IDS 200 Fan motors 1E 2S + 4D S 320 Cooling coils 8E + 125 + 14D S 2400 Manufacturing time E,SD 20