In a power plant, the generation cost functions of the units are as follows:

\[
\left\{\begin{array}{c}
C_{1}=0.05 P_{G 1}^{2}+50 P_{G 1}+1500 \\
C_{2}=0.075 P_{G 2}^{2}+40 P_{G 2}+2000
\end{array}ight.
\]

Solve the economic load dispatch problem for the total load of 1400 MW.

1) \(P_{G 1}=400 \mathrm{MW}, P_{G 2}=1000 \mathrm{MW}\)

2) \(P_{G 1}=500 \mathrm{MW}, P_{G 2}=900 \mathrm{MW}\)

3) \(P_{G 1}=800 \mathrm{MW}, P_{G 2}=600 \mathrm{MW}\)

4) \(P_{G 1}=700 \mathrm{MW}, P_{G 2}=700 \mathrm{MW}\)