Problem 3 Florida Generation owns two generating units with the following cost curve: C, -15+1.4P, +0.04P, Sih, 50SP, S150 C, = 25+1.6P, + 0.02P; S/h, 200 s P, s 500 Florida Generation needs to supply a demand of 400MW. It can also purchase power from the wholesale power market with a market clearing price at $15/MWh. 1) Find the optimal production level for each unit P, and P,, and the optimal amount of power P, that is to be purchased from the wholesale power market. 2) Calculate the total cost for supplying this demand.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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Problem 3
Florida Generation owns two generating units with the following cost curve:
C, =15+1.4P, + 0.04P, SIh, 50 s P, S 150
C, = 25+1.6P, + 0.02P; S/h, 200 s P, s 500
Florida Generation needs to supply a demand of 400MW. It can also purchase power from the wholesale
power market with a market clearing price at $15/MWh.
1) Find the optimal production level for each unit P, and P,, and the optimal amount of power P,
that is to be purchased from the wholesale power market.
2) Calculate the total cost for supplying this demand.
Transcribed Image Text:Problem 3 Florida Generation owns two generating units with the following cost curve: C, =15+1.4P, + 0.04P, SIh, 50 s P, S 150 C, = 25+1.6P, + 0.02P; S/h, 200 s P, s 500 Florida Generation needs to supply a demand of 400MW. It can also purchase power from the wholesale power market with a market clearing price at $15/MWh. 1) Find the optimal production level for each unit P, and P,, and the optimal amount of power P, that is to be purchased from the wholesale power market. 2) Calculate the total cost for supplying this demand.
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