A 23-year-old woman is evaluated in the ICU. She was in a motor vehicle accident 7 days ago and has required mechanical ventilation since admission. She now has fever, an increased oxygen requirement, and increased respiratory secretions requiring suctioning every hour. Three other patients in the ICU are colonized or infected with extended-spectrum β-lactamase (ESBL)–producing Klebsiella pneumoniae. Medical history is unremarkable.

On physical examination, temperature is 39.0 °C (102.2 °F), blood pressure is 105/70 mm Hg, pulse rate is 110/min, and respiration rate is 16/min. Pulmonary examination reveals scattered rhonchi. On cardiac examination, the heart is hyperdynamic but otherwise normal. Her trauma sites are clean and dry.

Laboratory studies show a leukocyte count of 19,300/µL (19.3 × 109/L). Sputum Gram stain reveals 2+ leukocytes and 3+ gram-negative rods; sputum culture is pending. Blood cultures return no growth.

Chest radiograph shows a new right lower-lobe infiltrate.

Which of the following is the most appropriate empiric antimicrobial treatment?