(a) Determine the optimal ratio for mixing the two coal grades. (b) Determine the effect of relaxing the smoke discharge limit by 1 lb on the amount of generated steam per hour.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter3: Introduction To Linear Programming
Section3.9: Production Process Models
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1. Wyoming Electric Coop owns a steam-turbine power-generating plant. Because Wyoming
is rich in coal deposits, the plant generates its steam from coal. 111is, however, may result in
emission that does not meet the Environmental Protection Agency standards. EPA regulations
limit sulfur dioxide discharge to 2000 parts per million per ton of coal burned and smoke
discharge from the plant stacks to 20 lb per hour. The Coop receives two grades of pulverized
coal, Cl and C2, 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 proportion of each grade used in the mixture.
The following data are based on consumption of 1 ton per hour of each of the two coal grades.
Coal grade
CL
C2
Sulfur discharge
in parts per million
1800
2100
Smoke discharge
in lb per hour
2.1
.9
Steam generated
in lb per hour
12,000
9,000
(a) Determine the optimal ratio for mixing the two coal grades.
(b) Determine the effect of relaxing the smoke discharge limit by 1 lb on the amount of
generated steam per hour.
Transcribed Image Text:1. Wyoming Electric Coop owns a steam-turbine power-generating plant. Because Wyoming is rich in coal deposits, the plant generates its steam from coal. 111is, however, may result in emission that does not meet the Environmental Protection Agency standards. EPA regulations limit sulfur dioxide discharge to 2000 parts per million per ton of coal burned and smoke discharge from the plant stacks to 20 lb per hour. The Coop receives two grades of pulverized coal, Cl and C2, 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 proportion of each grade used in the mixture. The following data are based on consumption of 1 ton per hour of each of the two coal grades. Coal grade CL C2 Sulfur discharge in parts per million 1800 2100 Smoke discharge in lb per hour 2.1 .9 Steam generated in lb per hour 12,000 9,000 (a) Determine the optimal ratio for mixing the two coal grades. (b) Determine the effect of relaxing the smoke discharge limit by 1 lb on the amount of generated steam per hour.
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