Thereafter, the patients are parsed into two categories: $20\%$ of all patients that come into the ED are trauma victims that need to be placed in a trauma bay. The other $80\%$ of the patients go into normal examination rooms. Each trauma patient spends an average of $30$ minutes in a trauma bay before leaving the ED $($usually then being admitted to the main part of the hospital$),$ whereas non$-$trauma patients spend an average of $45$ minutes in an examination room before leaving the ED$.$

$2$

OPERATIONS & SUPPLLY CHAIN MANAGEMENT, Homework $1$

Q$11.$ Suppose on average $50$ patients come to the emergency department every hour. What is the implied utilization $($in $\%)$ at the trauma bays? Recall there are $3$ trauma bays. Round your answer to the nearest whole number.

Q$12.$ Suppose on average $50$ patients come to the emergency department every hour. What is the implied utilization at the examination rooms $($in $\%)?$ Recall there are $10$ examination rooms.

Q$13.$ Which resource is the bottleneck?

a$)$ Examination Rooms

b$)$ Nurses

c$)$ Physicians

d$)$ X$-$Ray Technicians

e$)$ Trauma Bays

Q$14.$ Suppose we hired one more physician so that the total number of physicians becomes $6$