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XYZ, 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 ton of material 1 and % of material 3. A ton of solvent base is a mixture of ½ ton of material 1, ½ ton of material 2, and 10 ton of material 3. After deducting relevant costs, the profit contribution is P2000 for every ton of fuel additive produced and P1500 for every ton of solvent base produced. XYZ's production is constrained by a limited availability of the three raw materials. For the current production period, XYZ has the following available quantities of each raw material: Raw Material Material 1 Amount Available for Production 20 tons 5 tons 21 tons Material 2 Material 3 Assuming that XYZ is interested in maximizing the total profit contribution, answer the following: a. Define the variables used and formulate the linear programming model for this problem

XYZ, 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 ton of material 1 and % of material 3. A ton of solvent base is a mixture of ½ ton of material 1, ½ ton of material 2, and 10 ton of material 3. After deducting relevant costs, the profit contribution is P2000 for every ton of fuel additive produced and P1500 for every ton of solvent base produced. XYZ's production is constrained by a limited availability of the three raw materials. For the current production period, XYZ has the following available quantities of each raw material: Raw Material Material 1 Amount Available for Production 20 tons 5 tons 21 tons Material 2 Material 3 Assuming that XYZ is interested in maximizing the total profit contribution, answer the following: a. Define the variables used and formulate the linear programming model for this problem

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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b. Graph the constraints and identify the feasible region. c. Complete the table Objective Function Corner Points d. How many tons of each product should be produced, and what is the projected total profit contribution?
Transcribed Image Text:b. Graph the constraints and identify the feasible region. c. Complete the table Objective Function Corner Points d. How many tons of each product should be produced, and what is the projected total profit contribution?
XYZ, 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 ton of material 1 and 3 of material 3. A ton of solvent base is a mixture of ½ ton of material 1, ½ ton of material 2, and 10 ton of material 3. After deducting relevant costs, the profit contribution is P2000 for every ton of fuel additive produced and P1500 for every ton of solvent base produced. XYZ's production is constrained by a limited availability of the three raw materials. For material production period, XYZ has the following available quantities of each raw Raw Material Material 1 Material 2 Amount Available for Production 20 tons 5 tons Material 3 21 tons Assuming that XYZ is interested in maximizing the total profit contribution, answer the following: a. Define the variables used and formulate the linear programming model for this problem moun
Transcribed Image Text:XYZ, 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 ton of material 1 and 3 of material 3. A ton of solvent base is a mixture of ½ ton of material 1, ½ ton of material 2, and 10 ton of material 3. After deducting relevant costs, the profit contribution is P2000 for every ton of fuel additive produced and P1500 for every ton of solvent base produced. XYZ's production is constrained by a limited availability of the three raw materials. For material production period, XYZ has the following available quantities of each raw Raw Material Material 1 Material 2 Amount Available for Production 20 tons 5 tons Material 3 21 tons Assuming that XYZ is interested in maximizing the total profit contribution, answer the following: a. Define the variables used and formulate the linear programming model for this problem moun
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