Problem 10-07 (Algorithmic)
Aggie Power Generation supplies electrical power to residentialcustomers for many U.S. cities. Its main power generation plantsare located in Los Angeles, Tulsa, and Seattle. The following tableshows Aggie Power Generation's major residential markets, theannual demand in each market (in megawatts or MWs), and the cost tosupply electricity to each market from each power generation plant(prices are in $/MW).
| Distribution Costs |
| City | Los Angeles | Tulsa | Seattle | Demand (MWs) |
|---|
| Seattle | $351.25 | $588.75 | $54.38 | 945.00 |
| Portland | $370.25 | $607.75 | $192.13 | 845.25 |
| San Francisco | $168.13 | $465.00 | $286.88 | 2365.00 |
| Boise | $344.25 | $463.00 | $284.88 | 581.75 |
| Reno | $235.50 | $473.00 | $354.25 | 948.00 |
| Bozeman | $429.63 | $429.63 | $310.88 | 507.15 |
| Laramie | $377.25 | $436.63 | $377.25 | 1208.50 |
| Park City | $383.25 | $383.25 | $502.00 | 630.25 |
| Flagstaff | $210.13 | $507.00 | $625.75 | 1150.19 |
| Durango | $341.25 | $281.88 | $578.75 | 1450.25 |
- If there are no restrictions on the amount of power that can besupplied by any of the power plants, what is the optimal solutionto this problem? Which cities should be supplied by which powerplants? What is the total annual power distribution cost for thissolution? If required, round your answers to two decimalplaces.
The optimal solution is to produce MWs in LosAngeles, MWs in Tulsa, and MWs in Seattle.The total distribution cost of this solution is$ .
- If at most 3800 MWs of power can be supplied by any one of thepower plants, what is the optimal solution? What is the annualincrease in power distribution cost that results from adding theseconstraints to the original formulation? If required, round youranswers to two decimal places.
What is the optimal solution to produce ____ MWs in LosAngeles? - What is the optimal solution to produce ____ MWs in Tulsa?
- What is the optimal solution to produce ____ MWs inSeattle?
- What is the total distribution cost of this solution?
- What is the increase in cost associated with the additionalconstraints?
