RMC, Inc., is a small firm that produces a variety of chemical products. In a particular pro- duction process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and 3/5 of material 3. A ton of solvent base is a mixture of 12 ton of material 1, 1/5 ton of material 2, and 310 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. 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: Assuming that RMC is interested in maximizing the total profit contribution, answer the following: a. What is the linear programming model for this problem?