The input-output curve of a gas-fired generating unit is approximated by the following function: 4.2 H(P) = 120 +9.3 P + 0.0025 P² MJ/h This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold in a market for electrical energy at the prices shown in the table below. 2 3 Period 1 4 6. Price ($/MWh) 12.5 10 13 13.5 15 11 Assuming that this unit is optimally dispatched, is initially on-line and cannot be shut down, calculate its operational profit or loss for this period.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question
!
4.2 The input-output curve of a gas-fired generating unit is approximated by the
following function:
H(P) = 120 + 9.3 P + 0.0025 P² MJ/h
This unit has a minimum stable generation of 200 MW and a maximum output
of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of
this unit is sold in a market for electrical energy at the prices shown in the
table below.
Period
1
3
4
6
Price ($/MWh)
12.5
10
13
13.5
15
11
Assuming that this unit is optimally dispatched, is initially on-line and cannot
be shut down, calculate its operational profit or loss for this period.
Transcribed Image Text:4.2 The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 + 9.3 P + 0.0025 P² MJ/h This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold in a market for electrical energy at the prices shown in the table below. Period 1 3 4 6 Price ($/MWh) 12.5 10 13 13.5 15 11 Assuming that this unit is optimally dispatched, is initially on-line and cannot be shut down, calculate its operational profit or loss for this period.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.