Question: Using the information in the first image please answer steps 3-5 ! RMC, Inc., is a small firm that produces a variety of chemical products.


RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production 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 y ton of material 1,1/5 ton of material 2, and 3/10 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 the limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: Raw Amount Available 1. What is the linear programming model for this problem? Material for Production 2. Find the optimal solution using the graphical solution Material 1 20 tons procedure. How many tons of each product should be produced Material 2 5 tons and what is the projected total profit contribution? Material 3 21 tons 1 Step 3: Draw an objective function (Max z = 40x: + 30x3) line showing the values of the decision variables that yield a specified value of the objective function. Show your work here and depict the line on the graph provided on page 5. Step 4: Move parallel objective function lines (Max z = 40x4 + 30x2) toward farger objective function values until further movement would take the line completely outside the feasible region. This means you must show additional work by plotting a second objective function line. Show your work here and depict the line on the graph provided on page 5 Step 5: Determine the optimal solution using substitution. Your steps must be clear and logical. Do not take any shortcuts
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