SuperCool Air Conditioners manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $63, 595, and $135, respectively. The production requirements per unit are as follows: 5. Number of Number Cooling Manufacturing of Fans Coils Time (hours) Economy1 Standard1 Deluxe1 12 14 For the production period, the company has 200 fan motors, 320 cooling coils, and 2400 of manufacturing hours available. The company knows the economy model is in highest demand, followed by standard, and deluxe models. Thus, the company wants the number of economy models to be equal or greater than the number of standard models, and the number of standard models to be equal or greater than the number of deluxe models. But, the company wants at least 20 deluxe models to be made. Write a linear programming model in the space below that can be used to determine the number of each model to manufacture in order to maximize profit. a. b. How many units of each model should be produced and what is the profit earned?