Homework Help is Here – Start Your Trial Now!
Business
Operations Management
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

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 1C
See similar textbooks
icon
Related questions
Question
VENTE e. Is there any unused material? If so, how much f. Are any of the constraints redundant? If so, which one? Its re g. Identify the binding constraint/s: h. Identify the non-binding constraint/s: i. Compute the value of the objective function when 1 ton is added to the original amount available for production of raw material 1. Also, find the corresponding dual price dual price. j. Compute the range where the dual price computed in (i) remains valid. k. Compute the range of optimality for the objective function coefficients.
Transcribed Image Text:VENTE e. Is there any unused material? If so, how much f. Are any of the constraints redundant? If so, which one? Its re g. Identify the binding constraint/s: h. Identify the non-binding constraint/s: i. Compute the value of the objective function when 1 ton is added to the original amount available for production of raw material 1. Also, find the corresponding dual price dual price. j. Compute the range where the dual price computed in (i) remains valid. k. Compute the range of optimality for the objective function coefficients.
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
SEE MORE TEXTBOOKS