The optimization challenge

When I was studying applied mathematics at school, one of the first famous exercises that I got was the backpack challenge. Imagine you are given a list of items with a 'utility' and a 'volume', and the objective is to fill the backpack maximizing utility. In other words, w hat is the optimal backpack? 15 years later, I would never have imagined myself to be back in a similar situation preparing for one of the toughest races on Earth. The optimization challenge for the MDS race is actually a lot more complex than the one I had at school for a few reasons: - some items are mandatory (e.g. aspi-venin suction pump, GPS, mirror, compass, sleeping bag etc...) - for the food, I am optimizing for the highest ratio calories / weight, knowing I need to have a minimum of 2000 calories per day. - highest constraint is of course to have the lightest bag - other optimization factor to take into account is comfort vs weight. Comfort for the nights at the camp: should I brin...