B QUESTION 2 Char Coal is an importer & supplier of coal for big industries like cement plants. It recently received an order for 1000 tons of coal with the following specifications: Calorific Value of at least 190 Kcal per ton, Sulfur content of less than 6 kilos per ton. To meet these specifications, Char Coal blends three (3) kinds of coal that it imports with the below-listed specifications. Coal Type Calorific Value (Kcal/ton) 200 180 182 Sulfur Content (kilos/ton) 5 6 9 Minimum Order Quantity 300 Set-up cost to ordering $ 6,000 $5,000 $ 4,000 Unit Cost/ton $ 500 $ 450 $ 380 As they supply blended coal, delivery to the customers must have at least two (2) types of coal blended. Additionally, management has decided to either order at least 400 tons of Type B or at least 450 tons of Type C. Formulate an ILP Model of the foregoing that will minimize their cost. Indicate the appropriate coefficients (0-999999), right-hand side values and signs (5, 5 or =>) for the constraints & objective function of the above problem. none none X1 X2 X3 Y1 Y2 Y3 Y4 RHS Min. or Max? Calorific Value Order Quantity Linking Const. 1 Linking Const. 2 Linking Const. 3 Sulfur Content Min. Order Qty. At least 400 tons of type B or At least 450 tons of type C At least 2 types Variable type Integer Integer Integer 0/1 0/1 0/1 0/1 B QUESTION 2 Char Coal is an importer & supplier of coal for big industries like cement plants. It recently received an order for 1000 tons of coal with the following specifications: Calorific Value of at least 190 Kcal per ton, Sulfur content of less than 6 kilos per ton. To meet these specifications, Char Coal blends three (3) kinds of coal that it imports with the below-listed specifications. Coal Type Calorific Value (Kcal/ton) 200 180 182 Sulfur Content (kilos/ton) 5 6 9 Minimum Order Quantity 300 Set-up cost to ordering $ 6,000 $5,000 $ 4,000 Unit Cost/ton $ 500 $ 450 $ 380 As they supply blended coal, delivery to the customers must have at least two (2) types of coal blended. Additionally, management has decided to either order at least 400 tons of Type B or at least 450 tons of Type C. Formulate an ILP Model of the foregoing that will minimize their cost. Indicate the appropriate coefficients (0-999999), right-hand side values and signs (5, 5 or =>) for the constraints & objective function of the above problem. none none X1 X2 X3 Y1 Y2 Y3 Y4 RHS Min. or Max? Calorific Value Order Quantity Linking Const. 1 Linking Const. 2 Linking Const. 3 Sulfur Content Min. Order Qty. At least 400 tons of type B or At least 450 tons of type C At least 2 types Variable type Integer Integer Integer 0/1 0/1 0/1 0/1
