The answer is 1, or 3 min if at a high altitude. You can find the answer by searching the Internet with the question “How long do I have to boil campsite stream-water to purify it for drinking?” I am...

The answer is 1, or 3 min if at a high altitude. You can find the answer by searching the Internet with the question “How long do I have to boil campsite stream-water to purify it for drinking?” I am not interested in the answer nor in the true details of this particular example. What I do want is for you to frame an optimization application. This application seems both rich in considerations and familiar enough for all to be able to do it. (i) Identify and explain five issues (there are many more issues) associated with the length of time to boil water in a container over a campfire. (ii) For each issue, sketch a graph of how the feature would change w.r.t. (with respect to) the boiling duration. Your sketch should clearly represent your concept, not misrepresent it. If something decays exponentially in time, don’t show a linear sketch. If it decays to zero, don’t make a crude sketch that shows it not reaching zero or going below. But, your sketch does not need to represent the truth about nature. Don’t spend time researching, for example, the death rate of different microbes, or the exact evaporation rate of water at different altitudes. This is about the concepts of optimization, not the details of the campsite water purification. (iii) Explain constraints. (iv) Use your sketches to show that too short a boiling time is bad and that too long a boiling time is bad. (v) Present the optimization application in the canonical form, clearly revealing OF, DV, and constraints.