Decision Support Puzzles for Applied Mathematicians
June 2010 - SurvivOR
Getting lost while hiking in the wilderness is a dangerous situation to find yourself in. And making your way back to civilization is a difficult task that quickly uses up resources. What you decide to take with you while making the journey back to civilization can determine life or death.
Table 1 shows all of the items that are available to you that will aid you in your hike out of the wilderness. Containers of Food and Water will give you energy, Shelter will protect you from the elements, and Defense will protect you from wild animals. Each item has a weight indicated by the red number and each item has survival points indicated by the green number. You must take only one item from each of the four categories (Food, Water, Shelter, Defense). Unfortunately, the backpack you have has a maximum capacity of 25 kg. Your chance for survival is calculated by adding all of the survival points together from the items you choose to take with you.
Question: What is the maximum chance for survival you can achieve?
Send your answer to firstname.lastname@example.org by August 15th, 2010. The winner, chosen randomly from correct answers, will receive an “O.R. The Science of Better” T-shirt.