A manufacturer of textile dyes can use two different processing routings for a particular type of dye. Routing 1 uses drying press A and routing 2 uses drying press B. Both routings require the same mixing vat to blend chemicals for the dye before drying. The follow- ing table shows the time requirements and capacities of these processes: TIME REQUIREMENTS (HR/KG) Process Routing 1 Routing 2 Capacity (hr) Mixing 2 2 54 Dryer A 6 0 120 Dryer B 0 8 180 Each kilogram of dye processed on routing 1 uses 20 liters of chemicals, whereas each kilogram of dye processed on routing 2 uses only 15 liters. The differ- ence results from differing yield rates of the drying presses. Consequently, the profit per kilogram processed on routing 1 is $50 and on routing 2 is $65. A total of 450 liters of input chemicals is available. a. Write the constraints and objective function to maximize profits. b. Use the graphic method of linear programming to find the optimal solution. c. Identify any constraints with slack or surplus.