A large accounting firm has three auditors.Each can work up to 180 hours during the next month,during which time three projects must be completed.Project 1 takes 140 hours,project 2 takes 150 hours,and project 3 takes 170 hours.The amount per hour that can be billed for assigning each auditor to each project is given in the table below: 
Determine how to maximize total billings during the next month by formulating the company's problem as a transportation model.
Definitions:
Blood Sample
A small amount of blood taken from the body, typically for laboratory testing or analysis to diagnose health conditions.
Bilirubin Encephalopathy
A condition in newborns characterized by brain damage due to high levels of bilirubin in the blood.
Clinical Manifestation
The display of symptoms or signs associated with a particular disease, observable during a medical examination.
Cognitive Impairment
A general term describing any characteristic that acts as a barrier to the thought process, including memory loss, difficulty in understanding, and poor judgment.
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