$5\mathrm{.}4$ Evaluating Hospital Efficiency: DEA has been used to measure the relative efficiency of a group of hospitals. This study involved seven teaching hospitals; data on three input measures and four output measures are provided in Table $5\mathrm{.}2.$

Perform a DEA evaluation for this set of units, listing the efficiency for each hospital.

Consider the performance of Hospital D$.$ What is the interpretation of the efficiency measure for Hospital D$?$

Which hospitals would you recommend Hospital D consider emulating to improve its efficiency?

What are the inputs and outputs of the HCU for Hospital D$?$

Table $5\mathrm{.}2$ Inputs and Outputs for Seven Hospitals

Hospital Input Measures

Full$-$Time Equivalent Nonphysicians Supply Expense $($$$1000$s$)$ Bed$-$Days Available $($$$1000$s$)$

A $310\mathrm{.}0134\mathrm{.}60116\mathrm{.}00$

B $278\mathrm{.}5114\mathrm{.}30106\mathrm{.}80$

C $165\mathrm{.}6131\mathrm{.}3065\mathrm{.}52$

D $250\mathrm{.}0316\mathrm{.}0094\mathrm{.}40$

E $206\mathrm{.}4151\mathrm{.}20102\mathrm{.}10$

F $384\mathrm{.}0217\mathrm{.}00153\mathrm{.}70$

G $530\mathrm{.}1770\mathrm{.}80215\mathrm{.}00$

Hospital Output Measures

Patient$-$Days $(65$ or Older$)(000$s$)$ Patient$-$Days $($Under $65)(000$s$)$ Nurses Trained Interns Trained

A $55\mathrm{.}3149\mathrm{.}5229147$

B $37\mathrm{.}6455\mathrm{.}631563$

C $32\mathrm{.}9125\mathrm{.}7714126$

D $33\mathrm{.}5341\mathrm{.}9916021$

E $32\mathrm{.}4855\mathrm{.}3015782$

F $48\mathrm{.}7881\mathrm{.}9228592$

G $58\mathrm{.}41119\mathrm{.}7011189$