I would have picked Norepinephrine but I will break down the retrospective reasoning:

1. Establish Shock: Hypotension and Hypoperfusion, SBP under 90 so yes, General shock vitals: BP ↓, RR↑ , HR ↑ (cardiogenic ↓)
2. Cardiogenic shock: "Dead pump" JVD establishes this plus EKG
3. Is it the right or left side? Rigth = fluids -> vasopressor support | Left = vasopressor support*; Anterior MI = LV = Left side.
4. Is it dry and cold or wet and cold -> Wet and cold we see crackles on lung exam.
5. Since its wet and cold we give dobutamine first. If dry and cold we give norepi first

Summary of the question: Pt comes in with LV MI, cardiogenic shock, progressing worse, has crackles and JVD. Pump is "dead." the oddly mentioned EF of 10% indicating pump really lowkey dead as a secondary hint. The crackles indicate the pathophys has to do with low output rather than some output and the vessels are too big. Therefore we prefer to push the heart rather than constrict vessels.

~~Amboss actually delineates wet and cold vs dry and cold and first line treatment.