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

\[
\left\{\begin{array}{l}
C_{1}=0.0075 P_{G 1}^{2}+50 P_{G 1}+1000 \\
C_{2}=0.005 P_{G 2}^{2}+45 P_{G 2}+3000
\end{array}ight.
\]

Solve the economic load dispatch problem for the load demand of 1000 MW.

1) \(P_{G 1}=900 \mathrm{MW}, P_{G 2}=100 \mathrm{MW}\)

2) \(P_{G 1}=750 \mathrm{MW}, P_{G 2}=250 \mathrm{MW}\)

3) \(P_{G 1}=600 \mathrm{MW}, P_{G 2}=400 \mathrm{MW}\)

4) \(P_{G 1}=200 \mathrm{MW}, P_{G 2}=800 \mathrm{MW}\)