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 MW), and the cost to supply electricity to each market from each power generation plant (in $/MW). Distribution Costs ($/MW) Tulsa City Seattle Portland San Francisco Boise Reno Bozeman Laramie 1 2 3 4 5 6 7 8 Los Angeles 356.25 356.25 9 178.13 356.25 237.50 415.63 356.25 356.25 593.75 178.13 593.75 475.00 475.00 475.00 415.63 415.63 356.25 475.00 Seattle 296.88 59.38 178.13 296.88 296.88 356.25 296.88 356.25 475.00 593.75 Demand (MW) 593.75 Park City Flagstaff Durango 356.25 1,543.75 (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? (Enter your optimal solution as a comma-separated list for the amount of power each power plant supplies to each city in the format shown below. Report electrical power in MW.) (L1, T1, 51), (L2, T2, 52}. . {L10, T10, S10} = 950.00 831.25 2.375.00 593.75 950.00 593.75 1,187.50 712.50 1.187.50 (b) If at most 4,000 MW of power can be supplied by any one of the power plants, what is the optimal solution? (Enter your optimal solution as a comma-separated list for the amount of power each power plant supplies to each city in the format shown below. Report electrical power in MW. Round your answers to two decimal places.) (L1, T1, 51}, {L2, T2, 52},{(L10, T10, S10} = What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? (Round your answer to the nearest whole dollar.)
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 MW), and the cost to supply electricity to each market from each power generation plant (in $/MW). Distribution Costs ($/MW) Tulsa City Seattle Portland San Francisco Boise Reno Bozeman Laramie 1 2 3 4 5 6 7 8 Los Angeles 356.25 356.25 9 178.13 356.25 237.50 415.63 356.25 356.25 593.75 178.13 593.75 475.00 475.00 475.00 415.63 415.63 356.25 475.00 Seattle 296.88 59.38 178.13 296.88 296.88 356.25 296.88 356.25 475.00 593.75 Demand (MW) 593.75 Park City Flagstaff Durango 356.25 1,543.75 (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? (Enter your optimal solution as a comma-separated list for the amount of power each power plant supplies to each city in the format shown below. Report electrical power in MW.) (L1, T1, 51), (L2, T2, 52}. . {L10, T10, S10} = 950.00 831.25 2.375.00 593.75 950.00 593.75 1,187.50 712.50 1.187.50 (b) If at most 4,000 MW of power can be supplied by any one of the power plants, what is the optimal solution? (Enter your optimal solution as a comma-separated list for the amount of power each power plant supplies to each city in the format shown below. Report electrical power in MW. Round your answers to two decimal places.) (L1, T1, 51}, {L2, T2, 52},{(L10, T10, S10} = What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? (Round your answer to the nearest whole dollar.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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Transcribed Image Text: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 MW), and the cost to supply electricity to each market from each power generation plant (in $/MW).
City
Seattle
Portland
San
Francisco
Boise
Reno
Bozeman
Laramie
3
5
6
7
8
Distribution Costs ($/MW)
Tulsa
9
IT
Los Angeles
356.25
356.25
178.13
356.25
237.50
415.63
356.25
356.25
178.13
593.75
356.25
593.75
475.00
475.00
475.00
415.63
415.63
356.25
475.00
Seattle
296.88
59.38
178.13
296.88
296.88
356.25
296.88
356.25
Park City
Flagstaff
Durango
(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? (Enter your optimal solution as a comma-separated list for the
amount of power each power plant supplies to each city in the format shown below. Report electrical power in MW.)
(L1, T1, 51}, {L2, T2, 52},{L10, T10, S10} =
475.00
593.75
Demand (MW)
593.75
950.00
831.25
2,375.00
593.75
950.00
593.75
1,187.50
712.50
1,187.50
1,543.75
(b) If at most 4,000 MW of power can be supplied by any one of the power plants, what is the optimal solution? (Enter your optimal solution as a comma-separated list for the amount of power each power plant
supplies to each city in the format shown below. Report electrical power in MW. Round your answers to two decimal places.)
(L1, T1, 51}, {L2, T2, 52), (L10, T10, 510} =
What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? (Round your answer to the nearest whole dollar.)
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