(i) What is the conditional expected survival benefit for admit-ted patients?
(ii) Produce a formula for the total ICU admission rate in patients per day that. applies for all potential values of It between 0.03 and 0.44.
(c) You hope to maximize the expected annual number of lives saved from operating the ICU, so you use this objective to guide your choice of the cutoff value ft.
(i) What value of b• maximizes the expected annual number of lives saved? Explain your reasoning!
(ii )What is the expected annual number of lives saved from this policy?
(d) Now consider the Erlang loss model version of this problem that we dis-cussed in class (and is detailed in Sections 5.1 and 5.2 of the paper mentioned above).
(i) Compare your answer from part (a-iii) above to the result in the paper (and presented in class) regarding the expected annual number of lives saved from operating the ICU in first-come first-served (FCFS) fashion. Why are the estimated numbers of lives saved different?
(ii) Similarly, compare your answer from part (c-ii) above to the result in the paper (and presented in class) regarding the expected annual number of lives saved from operating the ICU with an optimally-selected cutoff (or hurdle) benefit 1•, again explaining why there is a difference.
(iii) Now compare the optimal value of V' you obtained in part. (c-i) above to the corresponding optimal cutoff obtained in the paper in Section 5.2. What does this result suggest about the robustness of the optimal cutoff for the ICU at the Hadamah Medical Center?