INNOVATIVE PRINT SYSTEMS: PRODUCTION PLANNING AND SHIPPING Innovative Print Systems is a technology company that produces...

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INNOVATIVE PRINT SYSTEMS: PRODUCTION PLANNING AND SHIPPING Innovative Print Systems is a technology company that produces 3D printers. Four different types of printers (differing mainly by using purpose) are made in the three plants in the system. Each plant can produce any of the four printers, although each plant has its own individual constraints and unit costs. These constraints cover labor and machining restrictions, and the specific values are given in Tables 2-4. Note that even though the products are identical in the three plants, different production processes are used and thus the products use different amounts of resources in different plants. The corporation controls the material that goes into the printers; the material requirements for each product are given in the last column of Tables 2-4. A total of 4000 pounds of material is available for the entire system during the planning period. Innovative Print Systems has 3 major customers (TechCraft, DigiFab, and 3Dinnova) for its products. The maximum sales for each customer-product pair is given in Table 1. Product sales prices are given in Table 5, and the shipping costs from each plant to each customer are detailed in Table 6. Table 7 contains the production costs for each product-plant pair. All shippings from plants 1 and 2 that goes to TechCraft, DigiFab must go through a special inspection. These units are sent to a central site, inspected, and then sent to their destination. The capacity of this special inspection site is 1,500 pieces. Products EcoPrint SmartPrint SpeedPrint UltraPrint Products EcoPrint SmartPrint SpeedPrint UltraPrint Total Available Table 1:Maximum Product Sales (Number of Units) Customers TechCraft 220 320 480 300 Table 2: Product - Resource Constraints: Plant 1 Resources Labor (hours/unit) 2.5 2.5 3.5 3.5 5000 DigiFab 440 320 300 360 Machine (hours/unit) 9 9.5 10.5 10.5 12000 3Dinnova 220 460 360 420 Material (lb./unit) 1.1 1.2 1.3. 1.4 Products EcoPrint Smart Print SpeedPrint UltraPrint Total Available Products EcoPrint Smart Print SpeedPrint UltraPrint Total Available Products EcoPrint SmartPrint SpeedPrint UltraPrint Products EcoPrint SmartPrint Speed Print UltraPrint Plant 1 2 3 Table 3: Product - Resource Constraints: Plant 2 Resources Labor (hours/unit) 5 6000 Labor (hours/unit) Table 4: Product - Resource Constraints: Plant 3 Resources 4 4.5 5 5.5 6000 TechCraft 20 TechCraft 1.2 1.4 1.6 Machine (hours/unit) Table 5: Products Sales Price (S) per Unit Customers DigiFab 19 22 25 35 8 8 9 10 10000 1 16 18 20 30 Machine ars/unit) Table 6:Shipping Costs ($) per Unit Customers 7 7 8 8 8000 DigiFab 1.9 1.8 1.8 Table 7: Production Costs (S) per Unit Plant 22 25 32 2 15 20 22 28 1.2 1.5 Material (Ib./unit) 1 1.1 1 1.4 16 18 22 27 Material (lb./unit 1.2 1.2 1.4 1.4 3Dinnova 1.3 3 3Dinnova 19 20 27 33 Your job is to determine a recommendation for the company. A recommendation must include a plan for production and shipping as well as the cost and revenue generated from each plant. Q1. Formulate Innovative Print Systems' problems as a LP. Be sure to describe what each of the decision variables and constraints represent. Solve your LP model. Specify the production, shipping, and sales plant that you recommend to Innovative Print Systems based on the LP solution. In addition, you should address the following potential issues in your recommendation: Q2. If you could get more material, how much would you like? How would you use it? What would you be willing to pay? Q3. If you could get more inspection capacity, how much would you like? How would you use it? What would you be willing to pay? Q4. At what plant(s) would you like to add extra labor hours? How much would you be willing to pay per hour? How many extra hours would you like? Q5. Marketing is trying to get TechCraft to consider a 50% increase in its demand. Can we handle this with the current system or do we need more resources? How much more money can we make if we take on the additional demand? INNOVATIVE PRINT SYSTEMS: PRODUCTION PLANNING AND SHIPPING Innovative Print Systems is a technology company that produces 3D printers. Four different types of printers (differing mainly by using purpose) are made in the three plants in the system. Each plant can produce any of the four printers, although each plant has its own individual constraints and unit costs. These constraints cover labor and machining restrictions, and the specific values are given in Tables 2-4. Note that even though the products are identical in the three plants, different production processes are used and thus the products use different amounts of resources in different plants. The corporation controls the material that goes into the printers; the material requirements for each product are given in the last column of Tables 2-4. A total of 4000 pounds of material is available for the entire system during the planning period. Innovative Print Systems has 3 major customers (TechCraft, DigiFab, and 3Dinnova) for its products. The maximum sales for each customer-product pair is given in Table 1. Product sales prices are given in Table 5, and the shipping costs from each plant to each customer are detailed in Table 6. Table 7 contains the production costs for each product-plant pair. All shippings from plants 1 and 2 that goes to TechCraft, DigiFab must go through a special inspection. These units are sent to a central site, inspected, and then sent to their destination. The capacity of this special inspection site is 1,500 pieces. Products EcoPrint SmartPrint SpeedPrint UltraPrint Products EcoPrint SmartPrint SpeedPrint UltraPrint Total Available Table 1:Maximum Product Sales (Number of Units) Customers TechCraft 220 320 480 300 Table 2: Product - Resource Constraints: Plant 1 Resources Labor (hours/unit) 2.5 2.5 3.5 3.5 5000 DigiFab 440 320 300 360 Machine (hours/unit) 9 9.5 10.5 10.5 12000 3Dinnova 220 460 360 420 Material (lb./unit) 1.1 1.2 1.3. 1.4 Products EcoPrint Smart Print SpeedPrint UltraPrint Total Available Products EcoPrint Smart Print SpeedPrint UltraPrint Total Available Products EcoPrint SmartPrint SpeedPrint UltraPrint Products EcoPrint SmartPrint Speed Print UltraPrint Plant 1 2 3 Table 3: Product - Resource Constraints: Plant 2 Resources Labor (hours/unit) 5 6000 Labor (hours/unit) Table 4: Product - Resource Constraints: Plant 3 Resources 4 4.5 5 5.5 6000 TechCraft 20 TechCraft 1.2 1.4 1.6 Machine (hours/unit) Table 5: Products Sales Price (S) per Unit Customers DigiFab 19 22 25 35 8 8 9 10 10000 1 16 18 20 30 Machine ars/unit) Table 6:Shipping Costs ($) per Unit Customers 7 7 8 8 8000 DigiFab 1.9 1.8 1.8 Table 7: Production Costs (S) per Unit Plant 22 25 32 2 15 20 22 28 1.2 1.5 Material (Ib./unit) 1 1.1 1 1.4 16 18 22 27 Material (lb./unit 1.2 1.2 1.4 1.4 3Dinnova 1.3 3 3Dinnova 19 20 27 33 Your job is to determine a recommendation for the company. A recommendation must include a plan for production and shipping as well as the cost and revenue generated from each plant. Q1. Formulate Innovative Print Systems' problems as a LP. Be sure to describe what each of the decision variables and constraints represent. Solve your LP model. Specify the production, shipping, and sales plant that you recommend to Innovative Print Systems based on the LP solution. In addition, you should address the following potential issues in your recommendation: Q2. If you could get more material, how much would you like? How would you use it? What would you be willing to pay? Q3. If you could get more inspection capacity, how much would you like? How would you use it? What would you be willing to pay? Q4. At what plant(s) would you like to add extra labor hours? How much would you be willing to pay per hour? How many extra hours would you like? Q5. Marketing is trying to get TechCraft to consider a 50% increase in its demand. Can we handle this with the current system or do we need more resources? How much more money can we make if we take on the additional demand?

Answer rating: 100% (QA)

This problem involves formulating and solving a linear programming LP model Linear programming is used to determine the best possible outcome in a mathematical model whose requirements are represented ... View the full answer