An energy company uses three different processes for generating electricity. One of the processes uses wind energy (and so requires no fuel), while the other two consume a combination of biofuel and natural gas. Each process also requires some amount of labour and emits some amount of carbon dioxide. The amount of biofuel (in Mg) and natural gas (in mcf = mega cubic feet) consumed, the labour required (in person-hours), the carbon dioxide (CO₂) emitted (in Mg), and the power generated (in MWh) per day of operation of each process is as follows: Electricity Process generated 20 32 85 1 2 3 CO₂ Labour produced required 0 20 12 13 29 18 Biofuel required 0 10 30 Natural gas required 0 15 40 Each MWh of electricity can be sold at £144 and there is no limit on the amount that can be sold. Over its next planning period, the company has 320 person-hours for labour, 75 Mg of biofuel, and 90 mcf of natural gas available.
An energy company uses three different processes for generating electricity. One of the processes uses wind energy (and so requires no fuel), while the other two consume a combination of biofuel and natural gas. Each process also requires some amount of labour and emits some amount of carbon dioxide. The amount of biofuel (in Mg) and natural gas (in mcf = mega cubic feet) consumed, the labour required (in person-hours), the carbon dioxide (CO₂) emitted (in Mg), and the power generated (in MWh) per day of operation of each process is as follows: Electricity Process generated 20 32 85 1 2 3 CO₂ Labour produced required 0 20 12 13 29 18 Biofuel required 0 10 30 Natural gas required 0 15 40 Each MWh of electricity can be sold at £144 and there is no limit on the amount that can be sold. Over its next planning period, the company has 320 person-hours for labour, 75 Mg of biofuel, and 90 mcf of natural gas available.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please can you give a detailed anser with working as the last answer was a bit wrong,much appreciated
Transcribed Image Text:The company emits all the CO₂ it produces into the atmosphere. Due to
environmental regulations, they cannot emit more than 215Mg of CO₂ in this
period. The company wants to know how to operate its processes to generate
as much revenue as possible (you may assume that there is no limit on the
number of days a process can be run in this period). Give a linear program
that models this problem and state what each of your variables represents. You
do not need to solve this program.
Transcribed Image Text:An energy company uses three different processes for generating electricity. One of
the processes uses wind energy (and so requires no fuel), while the other two consume
a combination of biofuel and natural gas. Each process also requires some amount
of labour and emits some amount of carbon dioxide. The amount of biofuel (in
Mg) and natural gas (in mcf = mega cubic feet) consumed, the labour required (in
person-hours), the carbon dioxide (CO₂) emitted (in Mg), and the power generated
(in MWh) per day of operation of each process is as follows:
Electricity
Process generated
20
32
85
1
2
3
CO₂
Labour
produced required
0
20
12
13
29
18
Biofuel
required
0
10
30
Natural gas
required
0
15
40
Each MWh of electricity can be sold at £144 and there is no limit on the amount
that can be sold. Over its next planning period, the company has 320 person-hours
for labour, 75 Mg of biofuel, and 90 mcf of natural gas available.
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