A hospital plans to upgrade cardiac care services by recruiting three FTE cardiologists. This will result in an estimated $1500$ patient days and approximately $$2$ million in net revenue. An additional $1000$ outpatient procedures are expected in cardiac medical imaging and stress studies, cardiac catheterizations, etc. The estimated cost is $$70,000($refurbishing an inpatient unit, a new cath lab, and outpatient offices$)$ and $$1\mathrm{.}8$ million in equipment financed over five years. What happens if only $2$ cardiologists are recruited? Set up this scenario as a decision tree and then explain it$.$