The incremental cost characteristics of the two units in

The incremental cost characteristics of the two units in a plant are given by
I_C₁ = Rs (0.1 P₁ + 8.0) per MWh
I_C₂ = Rs (0.15 P2 + 3.0) per MWh
The optimum sharing of load when the total load is 100 MW is

1. P₁ = 60 MW and P₂ = 40 MW
2. P₁ = 33.3 MW and P₂ = 66.7 MW
3. P₁ = 40 MW and P₂ = 60 MW
4. P₁ = 66.7 MW and P₂ = 33.3 MW

At optium sharing, I_C₁ = I_C₂.
The two equations can easily be solved with the constraint P₁ + P₂ = 100 MW
∴ P₁ = 40 MW,
and P₂ = 60 MW.