Problem 1 (LP Model) (40 points) A company makes 3 products and has available 4 workstations. The production time (in minutes) per unit produced varies from workstation to workstation as shown below: Product 1 2 3 Workstation 1 2 3 5 7 4 6 12 8 13 14 9 4 10 15 17 Similarly, the profit contribution per unit varies from workstation to workstation as below: 4 Workstation 1 2 3 10 8 6 18 20 15 15 16 13 Product 1 2 3 9 17 17 If, one week, there are 35 working hours available at each workstation how much of each product should |be produced given that we need at least 100 units of product 1, 150 units of product 2 and 100 units of product 3. x;= amount of product i (i=1,2,3) made at workstation ; (j=1,2,3,4) per week. Formulate this problem as an LP