The correct answer is C) pumping out flooded compartments. In the event of progressive flooding in the engine room, the primary steps to minimize the flooding are to secure the watertight boundaries and then pump out the flooded compartments. Pumping out the flooded compartments helps to remove the excess water and prevent further progression of the flooding. This is a more effective approach compared to the other options, which would not directly address the root issue of the flooding. The other options are incorrect because: A) evacuating the engine room does not stop the flooding, B) transferring reserve feed water does not directly address the flooding, and D) dumping fuel oil would not help to remove the excess water from the flooded compartments.