In a power plant, the power loss coefficients for the two power generation units are (L_{1}=$ 1.5

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In a power plant, the power loss coefficients for the two power generation units are \(L_{1}=\$ 1.5 / M W, L_{2}=\$ 1.8 / M W\). Calculate the total generation of the units if Lagrange Multiplier \((\lambda)\) is about \(\$ 300 / M W h\), and the generation cost functions of the units are as follows:

\[
\left\{\begin{array}{l}
C_{1}=0.2 P_{G 1}^{2}+100 P_{G 1}+5500 \\
C_{2}=0.1 P_{G 2}^{2}+100 P_{G 2}+4000
\end{array}ight.
\]

1) \(250 \mathrm{MW}\)

2) \(583.3 \mathrm{MW}\)

3) \(425.5 \mathrm{MW}\)

4) \(720 \mathrm{MW}\)

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