Homework Help is Here – Start Your Trial Now!
Business
Operations Management
Coalco produces coal at three mines and ships it to four customers. The cost per ton of producing coal, the ash and sulfur content (per ton) of the coal, and the production capacity (in tons) for each mine are given in Table 1. The number of tons of coal demanded by each customer is given in Table 2. The cost (in dollars) of shipping a ton of coal from a mine to each customer is given in Table 3. It is required that the total amount of coal shipped contains at most 5% ash and at most 4% sulfur.

Coalco produces coal at three mines and ships it to four customers. The cost per ton of producing coal, the ash and sulfur content (per ton) of the coal, and the production capacity (in tons) for each mine are given in Table 1. The number of tons of coal demanded by each customer is given in Table 2. The cost (in dollars) of shipping a ton of coal from a mine to each customer is given in Table 3. It is required that the total amount of coal shipped contains at most 5% ash and at most 4% sulfur.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
See similar textbooks
icon
Related questions
Question
100%

Linear programming formulation. 

Kindly define the notations clearly for better understanding 

Coalco produces coal at three mines and ships it to four customers. The cost per ton of producing coal, the ash and sulfur content (per ton) of the coal, and the production capacity (in tons) for each mine are given in Table 1. The number of tons of coal demanded by each customer is given in Table 2. The cost (in dollars) of shipping a ton of coal from a mine to each customer is given in Table 3. It is required that the total amount of coal shipped contains at most 5% ash and at most 4% sulfur. Formulate a linear programming (LP) model that minimizes the cost of meeting customer demands. Table 1: Properties of coal from different mines Production cost Сараcity Ash content Sulfur content Mine 1 $50 120 0.08ton 0.05ton Mine 2 $55 100 0.06ton 0.04ton Mine 3 $62 140 0.04ton 0.03ton Table 2: Demand from each customer Customer 1 Customer 2 Customer 3 Customer 4 80 70 60 90 Table 3: Cost (in dollars) from each mine to each customer Customer 1 Customer 2 Customer 3 Customer 4 Mine 1 4 6. 8 12 Mine 2 9. 6. 7 11 Mine 3 8 12 3
Transcribed Image Text:Coalco produces coal at three mines and ships it to four customers. The cost per ton of producing coal, the ash and sulfur content (per ton) of the coal, and the production capacity (in tons) for each mine are given in Table 1. The number of tons of coal demanded by each customer is given in Table 2. The cost (in dollars) of shipping a ton of coal from a mine to each customer is given in Table 3. It is required that the total amount of coal shipped contains at most 5% ash and at most 4% sulfur. Formulate a linear programming (LP) model that minimizes the cost of meeting customer demands. Table 1: Properties of coal from different mines Production cost Сараcity Ash content Sulfur content Mine 1 $50 120 0.08ton 0.05ton Mine 2 $55 100 0.06ton 0.04ton Mine 3 $62 140 0.04ton 0.03ton Table 2: Demand from each customer Customer 1 Customer 2 Customer 3 Customer 4 80 70 60 90 Table 3: Cost (in dollars) from each mine to each customer Customer 1 Customer 2 Customer 3 Customer 4 Mine 1 4 6. 8 12 Mine 2 9. 6. 7 11 Mine 3 8 12 3
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Optimization models
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.
SEE MORE TEXTBOOKS