B/S 2013 Winter 2021 Learning Activity RMC, 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 additive and a solvent base. The fuel additive is sold to oil companies and is used in the production of gasoline and related fuels. The solvent base is sold to a variety of chemical firms and is used in both home and industrial cleaning products. The three raw materials are blended to form the fuel additive and solvent base as indicated in Table 7.1, which shows that a ton of fuel additive is a mixture of 0.4 tons of material 1 and 0.6 tons of material 3. A ton of solvent base is a mixture of 0.5 tons of material 1.0.2 tons of material 2, and 0.3 tons of material 3. TABLE 7.1 MATERIAL REQUIREMENTS PER TON FOR THE RMC PROBLEM Product Material I Fuel Additive 04 Material 2 Material 3 02 0.3 RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: Material Material 1 Material 2 Material 3 Amount Available for Production 5 sons The accounting department analyzed the production figures signed at relevant cats, and prices for both products that will result in a profit contribution of $40 for every tox of fuel additive produced and $30 for every ton of solvent base produced. Let us now use linear programming to determine the number of tons of fuel additive and the number af tons of solvent base to producen order to maximize total profit contribution Q1: What are the decision variables of the problem? F-Fuel Additive; S-Solvent base Q2: Write down the linear programming model for this problem which will maximize the total profit Max 40F+305 St. 4+55-20 Material 1 25