2. The Wyndor Glass Company produces high-quality glass products, including windows and glass doors. It has three plants: . Plant 1 produces Aluminum frames Plant 2 produces wood frames Plant 3 produces the glass and assembles the products. The company has decided to produce two new products: Product 1: An 8-foot glass door with aluminum framing Product 2: A 4x6 foot double-hung wood framed window Each product will be produced in batches of 20. The production rate is defined as the number of batches produced per week. The company wants to know what the production rate should be in order to maximize their total profit, subject to the restriction imposed by the limited production capacities available in the 3 plants. Number of hours of production time available per week in each plant for these two new products: Plant 1: 4 hours/week Plant 2: 12 hours/week Plant 3: 18 hours/week Profit per batch produced of each new product: Product 1: $3000/batch Product 2: $5000/batch Number of hours of production time used in each plant for each batch produced of each new product: Product 1: . Plant 1: 1 hour/batch Plant 2: 0 hours/batch . Plant 3: 3 hours/batch Product 2: Plant 1: 0 hours/batch . Plant 2: 2 hours/batch Plant 3: 2 hours/batch What are the decision variables? What is the objective? What is the objective function? What are the constraints?