This question brought to you by the realisation that I have been thinking about this "theoretical" problem for nearly two days.
You are in charge of a company that does construction. You have a large Health and Safety group and you keep very good track of your accidents and injuries. Over the past 20 years, you have steadily decreased them, up until a few years ago where they stabilized and have begun rising. Over this time you have implemented more and more programs, but the addition of each new program seems to have the opposite effect - an increase in injuries.
You have 250 projects ongoing at this time, with some ending and more being added all the time. Projects operate in all sorts of environments (all over the world) and all forms of construction, however the number of people on the sites are generally the same.
Solve: What approach should be taken in order to find the optimal level of health and safety policies, procedures, training, audits, supervision and so forth. Can you show that there is a maximum threshold of these items after which you have negative returns?
Solve: Once concluding the optimal level of these, how do you determine relative value of each so that new processes can replace old ones if they are found to be more effective? How do you determine they are more effective?
I have been pondering this question while I was trying to sleep. While I was killing demons on my computer. While I try to work, while I eat. I can't get it out of my head.