2. 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 given in Table 1. 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 given in Table 2. The cost of processing a ton of steam and the power produced by each turbine is also given. Formulate an IP that can be used to minimize the cost of producing 8,000 kwh of power. Table 1 Boiler Number Minimum Steam Maximum Steam Cost/Ton ($) 1 500 1,000 10 2 300 900 8 3 400 800 6 Table 2 Turbine Minimum Maximum kwh per Ton of Steam Processing Cost/Ton ($) Number 1 300 600 4 2 500 800 3 3 600 900 6. 4

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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2. 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 given in Table 1. 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 given in Table 2. The cost of processing a ton of steam and the power produced by each
turbine is also given. Formulate an IP that can be used to minimize the cost of producing 8,000 kwh of
power.
Table 1
Boiler Number
Minimum Steam
Maximum Steam
Cost/Ton ($)
1
500
1,000
10
2
300
900
8
3
400
800
6.
Table 2
Turbine
Minimum
Maximum
kwh per Ton of Steam
Processing Cost/Ton ($)
Number
1
300
600
4
2
500
800
3
3
600 900
6.
LO
Transcribed Image Text:2. 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 given in Table 1. 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 given in Table 2. The cost of processing a ton of steam and the power produced by each turbine is also given. Formulate an IP that can be used to minimize the cost of producing 8,000 kwh of power. Table 1 Boiler Number Minimum Steam Maximum Steam Cost/Ton ($) 1 500 1,000 10 2 300 900 8 3 400 800 6. Table 2 Turbine Minimum Maximum kwh per Ton of Steam Processing Cost/Ton ($) Number 1 300 600 4 2 500 800 3 3 600 900 6. LO
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