Use Newhouse (1970) nonprofit hospital's utility model to maximize U(Q, q) where Q=Quantity and q=quality with zero-profit constrain. You may assume there is an inverse demand P(Q). Add in join production function f(Q,q,K,L)=0 where K=capital and L=labor and the unit price r and w are the competitive prices for capital and labor, respectively. And then, determine whether the hospital is efficient or not.
Note:you may define efficiency first and the conduct the state to answer this question.