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. 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...
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3. 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. 1 Instructor: Lei Zhao Introduction to Decision Making Fall 2020 Formulate a linear programming (LP) model that minimizes the cost of meeting customer demands. Note: Clearly define your notation. You are NOT required to solve it. 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:3. 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. 1 Instructor: Lei Zhao Introduction to Decision Making Fall 2020 Formulate a linear programming (LP) model that minimizes the cost of meeting customer demands. Note: Clearly define your notation. You are NOT required to solve it. 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
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