Final answer:
Cefepime and gentamicin is the most appropriate therapy for this patient with possible pneumonia.
Step-by-step explanation:
The most appropriate therapy for this patient is Cefepime and gentamicin (Choice C). The patient's symptoms, including cough productive of dark yellow sputum, shaking chills, and sharp chest pain worst on inspiration, along with the physical examination findings of decreased breath sounds, egophony, and positive tactile fremitus suggest a possible diagnosis of pneumonia. The choice of therapy should cover Gram-negative organisms and Pseudomonas, as well as atypical pathogens, which Cefepime and gentamicin can accomplish.