RMC, Inc., is a small firm that produces a variety of chemical products. In aparticular production process, three raw materials are blended (mixedtogether) to produce two products: a fuel additive and a solvent base. Eachton of fuel additive is a mixture of ton of material 1 and of material 3. Aton of solvent base is a mixture of ton of material 1, ton of material 2,and ton of material 3. After deducting relevant costs, the profitcontribution is $40 for every ton of fuel additive produced and $30 for everyton of solvent base produced.RMCs production is constrained by a limited availability of the three rawmaterials. For the current production period, RMC has available the followingquantities of each raw material:Raw MaterialAmount Available forProductionMaterial 120 tonsMaterial 25 tonsMaterial 321 tonsAssuming that RMC is interested in maximizing the total profit contribution,answer the following:a.

1.) What is the linear programming model for this problem? 2.)Find the optimal solution using the graphical solution procedure. 3.) How many tons of each product should be produced, and what is the projected total profit contribution? 4.) Is there any unused material? If so, how much? 5.) Are any of the constraints redundant? If so, which ones?