A linear programming computer package is needed.

Refationship Between the Output Measures for the Four Hospitals and the Output Measures For the Composite Hospital

Relationship Between the Inpur Measures for the Four Hospitals and the Input Measures for the Composite Hospital

$($a$)$ Use these data to develop a linear programming model that could be used to evaluate the performance of General Hospital. $($Let EI $=$ the efficiency index.$)$

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Min

s$.$t$.$

sum of weights

Medicare patient$-$days $(1,000$s$)$

Non$-$Medicare patient$-$days $(1,000$s$)$

Nurses trained

Interns trained

Full$-$time equivalent nonphysicians

Supply expenses $($$$1,000$s$)$

Bed$-$days available $(1,000$s$)$

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EI$,$wg$,$wu$,$wc$,$ ws $\backslash$geq $0$

$($b$)$ The following solution is optimal. Does the solution indicate that General Hospital is relatively inefficient?

Objective Function Value $\backslash (=\backslash$mathbf$\{1.000\}\backslash )$

Since the value of $\backslash ($ w g $\backslash )$ is $\backslash (\backslash$quad $\backslash$downarrow $\backslash ),$ the solution does not indicate $\backslash (\backslash$vee $\backslash$checkmark $\backslash )$ that the General Hospital is relatively inefficient.

$($c$)$ Which hospital or hospitals make up the composite unit used to evaluate General Hospital. $($Select all that apply.$)$County HospitalUniversity Hospital

$0$ General HospitalState Hospital