al utility needs to generate 6,500 megawatts of ele as five generators. If any electricity is generated by a that generator must be started up and a fixed start- rred. There is an additional cost for each megawatt by a generator. These costs, as well as the maximum Feach generator, are shown in the table. The objecti ne the minimum cost plan that meets the electrical a. Formulate a mathematical model for this problem and solve this model on a spreadsheet.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Fixed start-up cost
Cost per megawatt/day
generated
Maximum capacity (MW/day)
A
$3,000
$5
2,100
B
$2,000
$4
1,800
Generator
с
$2,500
$6
2,500
D
$1,500
$6
1,500
E
$1,000
$7
3,000
Transcribed Image Text:Fixed start-up cost Cost per megawatt/day generated Maximum capacity (MW/day) A $3,000 $5 2,100 B $2,000 $4 1,800 Generator с $2,500 $6 2,500 D $1,500 $6 1,500 E $1,000 $7 3,000
An electrical utility needs to generate 6,500 megawatts of electricity
today. It has five generators. If any electricity is generated by a given
generator, that generator must be started up and a fixed start-up
cost is incurred. There is an additional cost for each megawatt
generated by a generator. These costs, as well as the maximum
capacity of each generator, are shown in the table. The objective is
to determine the minimum cost plan that meets the electrical needs
for today. a. Formulate a mathematical model for this problem. b.
Formulate and solve this model on a spreadsheet.
Transcribed Image Text:An electrical utility needs to generate 6,500 megawatts of electricity today. It has five generators. If any electricity is generated by a given generator, that generator must be started up and a fixed start-up cost is incurred. There is an additional cost for each megawatt generated by a generator. These costs, as well as the maximum capacity of each generator, are shown in the table. The objective is to determine the minimum cost plan that meets the electrical needs for today. a. Formulate a mathematical model for this problem. b. Formulate and solve this model on a spreadsheet.
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