A power plant has three boilers. If a given boiler is operated, it can be used to produce a quantity of steam (in tons) between the minimum and maximum as shown below. The cost of producing a ton of steam on each boiler is also given. Steam from the boilers is used to produce power on three turbines. If operated, each turbine can process an amount of steam (in tons) between the minimum and maximum shown below. Also shown is the cost of processing a ton of steam and the power produced by each turbine. Formulate an IP that can be used to minimize the cost of producing 8,000 kwh of power. Turbine Number Kwh per Ton of Steam Processing Cost per Ton ($) Boiler Number Minimum Steam Maximum Steam Cost/Ton ($) Minimum Maximum 1 500 1,000 10 1 300 600 4 300 900 8 500 800 5 3 3 400 800 6. 3 600 900 6. 4

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 38P
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This is not a writing assignment, just formulating an IP

A power plant has three boilers. If a given boiler is operated, it can be used to produce a quantity
of steam (in tons) between the minimum and maximum as shown below. The cost of producing a
ton of steam on each boiler is also given. Steam from the boilers is used to produce power on
three turbines. If operated, each turbine can process an amount of steam (in tons) between the
minimum and maxim um shown below. Also shown is the cost of processing a ton of steam and
the power produced by each turbine. Formulate an IP that can be used to minimize the cost of
producing 8,000 kwh of power.
Turbine
Number
Kwh per Ton
of Steam
Processing Cost
per Ton ($)
Boiler Number
Minimum Steam
Maximum Steam
Cost/Ton ($)
Minimum
Maximum
1
500
1,000
10
1
300
600
4
2
300
900
8.
500
800
5
3
3
400
800
6.
3
600
900
6
4
Transcribed Image Text:A power plant has three boilers. If a given boiler is operated, it can be used to produce a quantity of steam (in tons) between the minimum and maximum as shown below. The cost of producing a ton of steam on each boiler is also given. Steam from the boilers is used to produce power on three turbines. If operated, each turbine can process an amount of steam (in tons) between the minimum and maxim um shown below. Also shown is the cost of processing a ton of steam and the power produced by each turbine. Formulate an IP that can be used to minimize the cost of producing 8,000 kwh of power. Turbine Number Kwh per Ton of Steam Processing Cost per Ton ($) Boiler Number Minimum Steam Maximum Steam Cost/Ton ($) Minimum Maximum 1 500 1,000 10 1 300 600 4 2 300 900 8. 500 800 5 3 3 400 800 6. 3 600 900 6 4
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,