How to Find the Absolute Extrema of a Function Over a Defined Region?

[harpazo]

Find the absolute extrema of the function over the region R. (In this case, R contains the boundaries.)

f (x, y) = 12 - 3x - 2y

R: The triangular region in the xy-plane with vertices (2, 0), (0, 1), and (1, 2).

I need the steps to guide me through this monster question. I am familiar with relative extrema but so much absolute extrema questions.

 

[MarkFL]

Hmm...you posted the same question before and HallsofIvy provided a very thorough method for determining the absolute extrema here:

http://mathhelpboards.com/calculus-10/find-absolute-extrema-over-region-r-20883-post94881.html#post94881

I know you are new here, and I'm only pointing out one of our policies as is my duty, but in the future, please don't post the same question more than once, as it can lead to duplication on the part of our helpers, whose time is valuable.

Is there some reason you found the help previously provided to be insufficient? If this is ever the case, please feel free to reply in the same thread to say what about the given help you don't understand. :D

 

[harpazo]

Hmm...you posted the same question before and HallsofIvy provided a very thorough method for determining the absolute extrema here:

http://mathhelpboards.com/calculus-10/find-absolute-extrema-over-region-r-20883-post94881.html#post94881

I know you are new here, and I'm only pointing out one of our policies as is my duty, but in the future, please don't post the same question more than once, as it can lead to duplication on the part of our helpers, whose time is valuable.

Is there some reason you found the help previously provided to be insufficient? If this is ever the case, please feel free to reply in the same thread to say what about the given help you don't understand. :D

I forgot that a similar question has already been posted.