L and M Inc is one of the world-class firm that manufactures 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 ton of material 1 and 3/5 of material 3. A ton of solvent base is a mixture of 1/2 ton of material 1, s 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. LMI's production is constrained by a limited availability of the three raw materials. For the current production period, LMI has an available quantities of each raw material Raw Materials and Available Resources Raw Material
L and M Inc is one of the world-class firm that manufactures 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 ton of material 1 and 3/5 of material 3. A ton of solvent base is a mixture of 1/2 ton of material 1, s 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. LMI's production is constrained by a limited availability of the three raw materials. For the current production period, LMI has an available quantities of each raw material
Raw Materials and Available Resources
Raw Material
Material 1
Material 2
Material 3
Amount Available for Production
20 tons
5 tons
21 tons
Assuming that LMI is interested in maximizing the total profit contribution, provide the following on your paper
1. What is the linear programming model for this problem?
2. Find the optimal solution using the basic steps for linear programming model procedure. How many tons of each product should be produced, and what is the projected total profit contribution?
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