Equal Incremental Cost

Correct Answer

D — 120 MW and 80 MW

Concept and Reasoning

For lossless economic dispatch, incremental costs are equal: 2+0.01PA=1.6+0.02PB, with PA+PB=200. Substituting PB=200−PA gives PA=120 MW and PB=80 MW, which is option D.

Calculation / Key Relation

2+0.01PA=1.6+0.02PB

PA+PB=200 → PA=120MW, PB=80MW

Exam Takeaway

Economic dispatch without losses: equal incremental cost plus power balance.

Common Mistake

Do not split load equally unless the incremental-cost characteristics are identical.