The KAD, Inc. is a small firm that produces a variety of chemical based products. In a particular production process, three raw materials are used to produce two products: a fuel and Gas. The fuel is sold to oil companies and is used in the production kerosene. The Gas is old to a variety of firms and is used in both home and industrial products. The three raw materials are blended to form the fuel and Gas products, which shows that a ton of fuel is a mixture of 0.4tons of material 1 and 0.6tons of material 3. A tone of Gas is a mixture of 0.5tons of material 1, 0.2tons of material 2, and 0.3tons of materials 3. Material Product Fuel Gas Material 1 0.4 0.5 Material 2 0.2 Material 3 0.6 0.3 KAD’s production is manufactured by a limited availability of the three raw materials for the current production period, KAD has available the following quantities of each raw materia: Material Amount Available for Production Material 1 20tons Material 2 5tons Material 3 21tons After analysis of profit contribution, it is observed that every ton of fuel will contribute $40 and every ton of Gas will contribute $30. Reduce this data into a manageable mathematical model: Show Graphical Solution of Materials 1, 2, & 3 Constraint Lines.
