Question: Using the information in the first image please answer the second image. 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 2: Determine the feasible region by identifying the solutions that satisfy all the constraints simultaneously. Figure out the direction to shade for each constraint line by testing points. 2 1 1 3 3 x1 + x2 s 20 0x + x2 55 5* + X2 521 10 Test Point 1: (25,35) Test Point 1: Test Point 1: 2 5 (25)+(35) = 10 + 17.5 27.5 is not s 20. 1 POINT ABOVE Circle Answer: Satisfy or Violate Circle Answer: Satisfy or Violate Circle Answer: Satisfy or Violate Test Point 2: (0,0) Test Point 2: Test Point 2: {co ) + (0) = 0 POINT BELOW O is s 20 Circle Answer: Satisfy or Violate Circle Answer: Satisfy or Violate Circle Amewer: Satisfy Or Violate
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