Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggie Power Generation's major residential markets, the annual demand in each market (in megawatts or MWS), and the cost to supply electricity to each market from each power generation plant (prices are in $/MW). City Seattle Portland San Francisco Boise Reno Bozeman Laramie Park City Flagstaff Durango Los Angeles $344.25 $350.25 $181.13 $351.25 $236.50 $403.63 $381.25 $371.25 $187.13 $361.25 Distribution Costs Tulsa The optimal solution is to produce $581.75 $587.75 $478.00 $470.00 The optimal solution is to produce with the additional constraints is $ $474.00 $403.63 $440.63 $371.25 $484.00 $301.88 Seattle $47.38 $172.13 $299.88 $291.88 $355.25 $284.88 $381.25 $490.00 $602.75 $598.75 Demand (MWs) 938.00 825.25 2378.00 588.75 949.00 581.75 1212.50 727.50 1196.50 a. If there are no restrictions on the amount of power that can be supplied by any of the power plants, what is the optimal solution to this problem? Which cities should be supplied by which power plants? What is the total annual power distribution cost for this solution? If required, round your answers to two decimal places. MWs in Los Angeles, MWs in Seattle. The total distribution cost of this solution is $ b. If at most 3900 MWs of power can be supplied by any one of the power plants, what is the optimal solution? What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? If required, round your answers to two decimal places. MWs in Los Angeles, 1548.75 MWs in Tulsa, and MWs in Tulsa, and MWS in Seattle. The total distribution cost of this solution is $ The increase in cost associated

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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Problem 10-07 (Algorithmic)
Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggie Power
Generation's major residential markets, the annual demand in each market (in megawatts or MWs), and the cost to supply electricity to each market from each power generation plant (prices are in $/MW).
City
Seattle
Portland
San Francisco
Boise
Reno
Bozeman
Laramie
Park City
Flagstaff
Durango
Los Angeles
$344.25
$350.25
$181.13
$351.25
$236.50
$403.63
$381.25
$371.25
$187.13
$361.25
Distribution Costs
Tulsa
$581.75
$587.75
The optimal solution is to produce
$478.00
The optimal solution is to produce
with the additional constraints is $
$470.00
$474.00
$403.63
$440.63
$371.25
$484.00
$301.88
Seattle
$47.38
$172.13
$299.88
$291.88
$355.25
$284.88
$381.25
$490.00
$602.75
$598.75
Demand (MWS)
938.00
825.25
2378.00
588.75
949.00
581.75
1212.50
727.50
1196.50
a. If there are no restrictions on the amount of power that can be supplied by any of the power plants, what is the optimal solution to this problem? Which cities should be supplied by which power plants? What is the total
annual power distribution cost for this solution? If required, round your answers to two decimal places.
1548.75
MWs in Los Angeles,
b. If at most 3900 MWs of power can be supplied by any one of the power plants, what is the optimal solution? What is the annual increase in power distribution cost that results from adding these constraints to the original
formulation? If required, round your answers to two decimal places.
MWs in Los Angeles,
MWs in Tulsa, and
MWs in Tulsa, and
MWs in Seattle. The total distribution cost of this solution is $
MWs in Seattle. The total distribution cost of this solution is $
The increase in cost associated
Transcribed Image Text:Problem 10-07 (Algorithmic) Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggie Power Generation's major residential markets, the annual demand in each market (in megawatts or MWs), and the cost to supply electricity to each market from each power generation plant (prices are in $/MW). City Seattle Portland San Francisco Boise Reno Bozeman Laramie Park City Flagstaff Durango Los Angeles $344.25 $350.25 $181.13 $351.25 $236.50 $403.63 $381.25 $371.25 $187.13 $361.25 Distribution Costs Tulsa $581.75 $587.75 The optimal solution is to produce $478.00 The optimal solution is to produce with the additional constraints is $ $470.00 $474.00 $403.63 $440.63 $371.25 $484.00 $301.88 Seattle $47.38 $172.13 $299.88 $291.88 $355.25 $284.88 $381.25 $490.00 $602.75 $598.75 Demand (MWS) 938.00 825.25 2378.00 588.75 949.00 581.75 1212.50 727.50 1196.50 a. If there are no restrictions on the amount of power that can be supplied by any of the power plants, what is the optimal solution to this problem? Which cities should be supplied by which power plants? What is the total annual power distribution cost for this solution? If required, round your answers to two decimal places. 1548.75 MWs in Los Angeles, b. If at most 3900 MWs of power can be supplied by any one of the power plants, what is the optimal solution? What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? If required, round your answers to two decimal places. MWs in Los Angeles, MWs in Tulsa, and MWs in Tulsa, and MWs in Seattle. The total distribution cost of this solution is $ MWs in Seattle. The total distribution cost of this solution is $ The increase in cost associated
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