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Problem 5 (25) A manufacturing line makes two products. Production and demand data are shown in the following table: Product 2 Product 1 6 11 400 250 0.5 9 0.75 14 Set-up time (hrs) Set-up cost ($) Production time/unit (h) Production cost/unit ($) Inventory holding cost/unit Penalty cost for unsatisfied demand/unit ($) Selling price ($/unit) 3 3 15 20 35 25 Product Week 1 Week 2 Week 3 Week 4 90 1 75 60 95 30 45 30 2 20 The total time available (for production and setup) in each week is 80 h. Starting inventory is zero, and inventory at the end of the week 4 must be zero. Only one product can be produced in any week, and the line must be shut down and cleaned at the end of each week. Hence the set-up time and cost are incurred for a product in any week in which that product is made. No production can take place while the line is being set-up. 1- Formulate and solve this problem as MILP maximizing the total net profit over all products and periods. (You can use intlinprog from Matlab or the BB-Simplex from Excel to find the solution) Problem 5 (25) A manufacturing line makes two products. Production and demand data are shown in the following table: Product 2 Product 1 6 11 400 250 0.5 9 0.75 14 Set-up time (hrs) Set-up cost ($) Production time/unit (h) Production cost/unit ($) Inventory holding cost/unit Penalty cost for unsatisfied demand/unit ($) Selling price ($/unit) 3 3 15 20 35 25 Product Week 1 Week 2 Week 3 Week 4 90 1 75 60 95 30 45 30 2 20 The total time available (for production and setup) in each week is 80 h. Starting inventory is zero, and inventory at the end of the week 4 must be zero. Only one product can be produced in any week, and the line must be shut down and cleaned at the end of each week. Hence the set-up time and cost are incurred for a product in any week in which that product is made. No production can take place while the line is being set-up. 1- Formulate and solve this problem as MILP maximizing the total net profit over all products and periods. (You can use intlinprog from Matlab or the BB-Simplex from Excel to find the solution)