Monday, October 3, 2011

Optimization

Most students provided excellent examples of functions pertaining to trees and some of these examples can be developed into models as we move through the course.

Our next point of discussion regards the theory of optimization and, here, we will be interested in what it means for something to be "optimal", both in general terms and in mathematical terms.  With this in mind, please contribute some thoughts on the meaning of optimal as your next Blogging exercise.

1 comment:

  1. Law of Diminishing Returns: "The law of diminishing returns states that in all productive processes, adding more of one factor of production, while holding all others constant, will at some point yield lower per-unit returns. The law of diminishing returns does not imply that adding more of a factor will decrease the total production, a condition known as negative returns, though in fact this is common."
    I interpret the law of diminishing returns to mean the law that describes the event of initially adding a thing to something for a benefit, until adding too much of that thing makes the whole something worse. For example: eating three eggs is good for your body, digestive system and provides an beneficial amount of protein, however, there is a point when eating too many eggs becomes the exact opposite of what it once was, it becomes bad for your body, cloggs your digestive system, and no longer benefits your body with the right amount of protein.. and you will most likely get a stomach ache because your body is not used to it.

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