An energy company owns a power plant that generates electricity using a steam turbine. Coal is used to generate steam due to the presence of rich coal deposits in the campus. As it is known, some environmental standards must be followed regarding the use of coal in energy production. According to these standards; The acceptable amount of sulfur dioxide emitted to the environment is 2000 particles per million, and the amount of smoke is 20 kg per hour. The company uses two different qualities of powder coal, C1 and C2, in its steam facility. These two qualities of powder coal are mixed before use. It is accepted that the environmental pollution caused by sulfur is the weighted average of the amount of each quality coal used in the mixture. The data in the table below is obtained from two different quality coal when 1 ton per hour is used.   Establish the linear programming (DP) model that gives the best mixing ratio of the two coals and determine the best solution?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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An energy company owns a power plant that generates electricity using a steam turbine.

Coal is used to generate steam due to the presence of rich coal deposits in the campus. As it is known, some environmental standards must be followed regarding the use of coal in energy production. According to these standards; The acceptable amount of sulfur dioxide emitted to the environment is 2000 particles per million, and the amount of smoke is 20 kg per hour. The company uses two different qualities of powder coal, C1 and C2, in its steam facility. These two qualities of powder coal are mixed before use. It is accepted that the environmental pollution caused by sulfur is the weighted average of the amount of each quality coal used in the mixture. The data in the table below is obtained from two different quality coal when 1 ton per hour is used.

 

Establish the linear programming (DP) model that gives the best mixing ratio of the two coals and determine the best solution?

Coal type
Sulfur emission
Smoke Release (kg / hr)
Steam Produced (kg/hr)
(particles per million)
1800
2.1
12000
C2
2100
0.9
9000
Transcribed Image Text:Coal type Sulfur emission Smoke Release (kg / hr) Steam Produced (kg/hr) (particles per million) 1800 2.1 12000 C2 2100 0.9 9000
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,