The fuel-cost functions in Rs/h for two 900 MW thermal plants are given by

\({C_1} = 400 + 6{P_1} + 0.004P_1^2\)

\({C_2} = 500 + \beta {P_2} + \gamma P_2^2\)

Where P1 and P2 are in MW.

The incremental cost of power λ is Rs. 8 / MW. When the total power demand is 550 MW.

The incremental cost of power λ is Rs. 10/MWh. When the total power demand is 1300 MW.

Which of the following is/are true regarding the fuel-cost co-efficient β and γ of the second plant.

1
β = 3.4
2
γ = 0.002
3
β = 6.8
4
γ = 0.004

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