Service planners for a regional health authority have been reviewing wait times for partial and full hip replacements. their analysis shows that the wait time for partial hip replacements is much longer than for full hip replacements, despite the fact that a full hip replacement is a longer, more complicated surgery. specifically, a full hip replacement requires three hours of operating room (or) time, whereas a partial hip replacement requires only two hours of or time. the regional health authority compensates surgeons twice as much for a full hip replacement as for a partial hip replacement. each surgeon is given no more than 20 hours of or time per week, and surgeons are free to choose how they book their time. the health authority wants to understand why the wait times for partial hip replacements are so much longer than the wait times for full hip replacements. develop a hypothesis as to why this occurs by completing the following analysis:
consider the allocation of or time from the surgeon’s perspective. develop a mathematical formulation of the problem by writing an expression for the surgeon’s compensation as determined by the type of surgeries performed and any constraints under which the surgeon operates. (15 marks)
using your answer from 3, determine the optimal allocation of or times between the two types of hip surgery as determined by the surgeon. what is the optimal allocation in terms of benefit to the greatest number of patients? what is the optimal allocation in terms of compensation for the surgeon? explain why your answer is the best strategy for optimization. (15 marks)
using what you have discovered in your analysis, propose a hypothesis as to why wait times for partial hip replacements are much longer than for full hip replacements. (10 marks)

Nine people are going to share a 128-ounces bottle of soda. how many ounces will each person get drink? choose the correct equation and answer for this situation

Match the one-to-one functions with the graphs of their inverse functions.

Jobs and productivity! how do retail stores rate? one way to answer this question is to examine annual profits per employee. the following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. assume σ ≈ 4.0 thousand dollars. 3.7 6.7 3.6 8.5 7.5 5.9 8.7 6.4 2.6 2.9 8.1 −1.9 11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 −6.0 1.5 2.9 4.8 −1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1 3.7 5.1 4.2 (a) use a calculator or appropriate computer software to find x for the preceding data. (round your answer to two decimal places.) thousand dollars per employee (b) let us say that the preceding data are representative of the entire sector of retail sales companies. find an 80% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit -- thousand dollars upper limit -- thousand dollars (c) let us say that you are the manager of a retail store with a large number of employees. suppose the annual profits are less than 3 thousand dollars per employee. do you think this might be low compared with other retail stores? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are less than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. correct: your answer is correct. (d) suppose the annual profits are more than 6.5 thousand dollars per employee. as store manager, would you feel somewhat better? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are greater than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. (e) find an 95% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit 3.75 incorrect: your answer is incorrect. thousand dollars upper limit 6.41 incorrect: your answer is incorrect. thousand dollars