Wyoming Electric Company owns a steam-turbine power-generated plant. Because Wyoming is rich in coal deposits, the plant generates its steam from coal. This however may cause emission that doesn't meet the EPA's standards. EPA regulations limit sulfur dioxide discharge to 2000 parts per million per ton of coal burned. Also, the smoke discharge from the plant can stack up to 201b per hour. The Company receives two grades of pulverized coal, C, and C, for use in the steam plant. The two grades are usually mixed together before burning. For simplicity, it can be assumed that the amount of sulfur pollutant discharged (in parts per million) is a weighted average of the propertion of each grade used in the mixture. The following data are based on the consumption of 1 ton per hours of each of the two coal grades. Develop a linear programming model to maximize the generated steam. Sulfur discharge in parts per million Smoke discharge in Ib per hour Stcam generated in Ib per hour Coal grade 2.1 12,000 9000 1800 2100 Note: there is no need to solve this problem and find the optimal solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Wyoming Electric Company owns a steam-turbine power-generated plant. Because Wyoming is rich in
coal deposits, the plant generates its steam from coal. This however may cause emission that doesn't
meet the EPA's standards. EPA regulations limit sulfur dioxide discharge to 2000 parts per million per ton
of coal burned. Also, the smoke discharge from the plant can stack up to 201b per hour. The Company
receives two grades of pulverized coal, C, and C, for use in the steam plant. The two grades are usually
mixed together before burning. For simplicity, it can be assumed that the amount of sulfur pollutant
discharged (in parts per million) is a weighted average of the propertion of each grade used in the mixture.
The following data are based on the consumption of 1 ton per hours of each of the two coal grades.
Develop a linear programming model to maximize the generated steam.
Sulfur discharge
in parts per million
Smoke discharge
in Ib per hour
Stcam generated
in Ib per hour
Coal grade
1800
2.1
12,000
2100
9
9000
Note: there is no need to solve this problem and find the optimal solution.
Transcribed Image Text:Wyoming Electric Company owns a steam-turbine power-generated plant. Because Wyoming is rich in coal deposits, the plant generates its steam from coal. This however may cause emission that doesn't meet the EPA's standards. EPA regulations limit sulfur dioxide discharge to 2000 parts per million per ton of coal burned. Also, the smoke discharge from the plant can stack up to 201b per hour. The Company receives two grades of pulverized coal, C, and C, for use in the steam plant. The two grades are usually mixed together before burning. For simplicity, it can be assumed that the amount of sulfur pollutant discharged (in parts per million) is a weighted average of the propertion of each grade used in the mixture. The following data are based on the consumption of 1 ton per hours of each of the two coal grades. Develop a linear programming model to maximize the generated steam. Sulfur discharge in parts per million Smoke discharge in Ib per hour Stcam generated in Ib per hour Coal grade 1800 2.1 12,000 2100 9 9000 Note: there is no need to solve this problem and find the optimal solution.
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