GATE Electrical Engineering (EE) 2021 Solved Papers

Two generators have cost functions ${\mathit{F}}_1$ and ${\mathit{F}}_2$. Their incremental-cost characteristics are:
$\frac{{\mathit{d}\mathit{F}}_1}{{\mathit{d}\mathit{P}}_1}=40+0.2{\mathit{P}}_1$
$\frac{{\mathit{d}\mathit{F}}_2}{{\mathit{d}\mathit{P}}_2}=32+0.4{\mathit{P}}_2$
They need to deliver a combined load of $260\mathit{M}\mathit{W}$. Ignoring the network loses, for economic operation, the generations ${\mathit{P}}_1$ and ${\mathit{P}}_2$ (in $\mathit{M}\mathit{W}$ ) are