1. Stephanie Goff is the supervisor of production at a small manufacturing plant in Kansas City, MO. Stephanie must decide the optimal daily production mix of a certain product that has two models: the Gold and the Platinum. The profit on the Gold model is $15 per unit and the Platinum's profit is $11 per unit. Each model goes through three departments in the production process, construction, finishing and inspection There are only 100 hours available daily in the construction department, only 80 hours available in finishing and 75 hours in inspection. Each Gold model requires 20 minutes of construction time, 10 minutes of finishing time and 8 minutes of inspection time. Each Platinum model requires 15 minutes of construction time, 15 minutes of finishing time, and 10 minutes of inspection time. The company has also decided that the Platinum model must comprise at least 40 percent of the production total. Write the linear programming formulation to determine the optimal production mix