The fuel-cost curves for two generators are given as follows: [begin{aligned}& mathrm{C}_{1}left(mathrm{P}_{1} ight)=600+15 cdotmathrm{P}_{1}+0.05 cdotleft(mathrm{P}_{1} ight)^{2} &mathrm{C}_{2}left(mathrm{P}_{2}

The fuel-cost curves for two generators are given as follows:

\[\begin{aligned}& \mathrm{C}_{1}\left(\mathrm{P}_{1}\right)=600+15 \cdot\mathrm{P}_{1}+0.05 \cdot\left(\mathrm{P}_{1}\right)^{2} \\&\mathrm{C}_{2}\left(\mathrm{P}_{2}\right)=700+20 \cdot \mathrm{P}_{2}+0.04\cdot\left(\mathrm{P}_{2}\right)^{2}\end{aligned}\]

Assuming the system is lossless, calculate the optimal dispatch values of \(\mathrm{P}_{1}\) and \(\mathrm{P}_{2}\) for a total load of \(1000 \mathrm{MW}\), the incremental operating cost, and the total operating cost.