Build a LP model for the following scenario, but don't solve the LP model that you made. A company manufactures two products whose unit profits are $17 and $15, respectively. The company has budgeted 50 hours of labor time and 35 hours of machine time for the production of the products. The labor requirements per unit of products are 1 hour for the product 1 and 2 hours for the product 2. The machine time requirements of two products are 2 hours and 1 hour, respectively. Please formulate this problem as a LP to find the maximum profit. For full credit, define the decision variables, first, and then write objective function and the constraints.