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The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by
Plant 1 : C1 = 350 + 6P1 + 0.004P12
Plant 2 : C2 = 450 + aP2 + 0.003P22 
where P1 and P2 are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power (λ) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are
  • a)
    200,350
  • b)
    250,300
  • c)
    325, 225
  • d)
    350, 200
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The fuel cost functions in rupees/hour for two 600 MW thermal power pl...
ICP) is defined as the additional cost incurred for generating an additional unit of power.

To find the ICP for plant 1, we differentiate the cost function with respect to P1:

dC1/dP1 = 6(350) + 0.008P1

The ICP for plant 1 is given by the derivative of the cost function with respect to power:

ICP1 = dC1/dP1 = 2100 + 0.008P1

Similarly, for plant 2:

dC2/dP2 = a(450) + 0.006P2

ICP2 = dC2/dP2 = 450a + 0.006P2

Therefore, the incremental cost of power for plant 1 is 2100 + 0.008P1 rupees/MW and for plant 2 is 450a + 0.006P2 rupees/MW.
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The fuel cost functions in rupees/hour for two 600 MW thermal power pl...
IC1(P1) = 0.008P1 + 6 
IC2(P2) = 0.006P2 + a
IC1 = IC2 = λ = 8
⇒ IC1 = 8
0.008P+ 6 = 8
P1 = 250 MW , P2 = 300 MW
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The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given byPlant 1 : C1= 350 + 6P1 + 0.004P12Plant 2 : C2 = 450 + aP2 + 0.003P22where P1 and P2 are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power (λ) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, area)200,350b)250,300c)325, 225d)350, 200Correct answer is option 'B'. Can you explain this answer?
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The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given byPlant 1 : C1= 350 + 6P1 + 0.004P12Plant 2 : C2 = 450 + aP2 + 0.003P22where P1 and P2 are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power (λ) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, area)200,350b)250,300c)325, 225d)350, 200Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given byPlant 1 : C1= 350 + 6P1 + 0.004P12Plant 2 : C2 = 450 + aP2 + 0.003P22where P1 and P2 are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power (λ) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, area)200,350b)250,300c)325, 225d)350, 200Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given byPlant 1 : C1= 350 + 6P1 + 0.004P12Plant 2 : C2 = 450 + aP2 + 0.003P22where P1 and P2 are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power (λ) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, area)200,350b)250,300c)325, 225d)350, 200Correct answer is option 'B'. Can you explain this answer?.
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