An electrical utility needs to generate 6,300 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 B C D Fixed start-up cost $3,000 $2,000 $2,500 $1,500 $1,000 Cost per megawatt/day $5 $4 $6 generated $6 $7 Maximum capacity (MW/day 2,100 1,800 2,500 1,500 3,000 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 "O" wherever required. Startup generator? (Enter 1 if "Yes", O if "No") Megawatt/day b. Determine the total cost. Total cost

Practical Management Science
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An electrical utility needs to generate 6,300 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
A
$3,000
B
C
D
E
$2,000
$2,500
Cost per megawatt/day
$1,500
$1,000
generated
Maximum capacity (MW/day
$5
2,100
$4
* $6
$6
$7
1,800
2,500
1,500
3,000
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 "O" wherever required.
Startup generator? (Enter 1 if "Yes", 0 if "No")
Megawatt/day
b. Determine the total cost.
Total cost
Transcribed Image Text:tes An electrical utility needs to generate 6,300 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 A $3,000 B C D E $2,000 $2,500 Cost per megawatt/day $1,500 $1,000 generated Maximum capacity (MW/day $5 2,100 $4 * $6 $6 $7 1,800 2,500 1,500 3,000 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 "O" wherever required. Startup generator? (Enter 1 if "Yes", 0 if "No") Megawatt/day b. Determine the total cost. Total cost
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