An electrical utility needs to generate 6,500 megawatts of electricity today. It has five generators (A, B, C, D, and E). 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 following table. A $3,000 Startup generator? (Enter 1 if "Yes", 0 if "No") Megawatt/day generated b. Determine the total cost. Fixed start-up cost Cost per megawatt/day generated Maximum capacity (MW/day) Click here for the Excel Data File Formulate and solve this model on a spreadsheet. a. Determine the minimum cost plan that meets the electrical needs for today. Note: Leave no cells blank. Enter "0" wherever required. Total cost B $2,000 $5 2,100 $2,500 $1,500 $6 2,500 $4 1,800 $6 1,500 E $1,000 $7 3,000

Practical Management Science
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An electrical utility needs to generate 6,500 megawatts of electricity today. It has five generators (A, B, C, D, and E). 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 following
table.
Fixed start-up cost
Cost per megawatt/day generated
Maximum capacity (MW/day)
Click here for the Excel Data File
A
$3,000
Startup generator? (Enter 1 if "Yes", 0 if "No")
Megawatt/day generated
b. Determine the total cost.
Total cost
$5
2,100
B
$2,000
$4
1,800
C
$2,500
$6
2,500
Formulate and solve this model on a spreadsheet.
a. Determine the minimum cost plan that meets the electrical needs for today.
Note: Leave no cells blank. Enter "0" wherever required.
D
$1,500
$6
1,500
$1,000
$7
3,000
Transcribed Image Text:An electrical utility needs to generate 6,500 megawatts of electricity today. It has five generators (A, B, C, D, and E). 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 following table. Fixed start-up cost Cost per megawatt/day generated Maximum capacity (MW/day) Click here for the Excel Data File A $3,000 Startup generator? (Enter 1 if "Yes", 0 if "No") Megawatt/day generated b. Determine the total cost. Total cost $5 2,100 B $2,000 $4 1,800 C $2,500 $6 2,500 Formulate and solve this model on a spreadsheet. a. Determine the minimum cost plan that meets the electrical needs for today. Note: Leave no cells blank. Enter "0" wherever required. D $1,500 $6 1,500 $1,000 $7 3,000
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