Question 1118359
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1.  The notice that @greenestamps made in his post, is very well known fact,

    and it is very well known to those who is familiar with more advanced courses in Linear Programming.



2.  Since you, the student, are in the very beginning stage of learning this method, you may follow the method

    presented by @ankor@dixie-net.com


    I also recommend you to read my introductory lesson
          <A HREF=https://www.algebra.com/algebra/homework/word/misc/Solving-minimax-problems-by--the-Linear-Programming-method.lesson>Solving minimax problems by the Linear Programming method</A> 
    in this site, which is a standard exposition of the method in all details for the beginner student. 

    It is the best exposition to start with . . . 



3.  For @greenestapms info, the college textbook, containing the conception he refers to, is (for example) this one:

    "College Mathematics for management, life and social science"
     3rd edition, R.A.Barnett and M.R.Ziegler, 1984, San Francisco, ISBN 0-02-306220-7.



4.  Linear Programming method is very advanced and very well developed industrial optimization method now.

    It works in 2D (in plane, and students learn it in introductory geometric version, as it is presented in this post),

    in 3D, where visual interpretation is not so easy, and then as a quite abstract method in multi-dimensional spaces 

       (with 100, 1000 or even 10000 and more dimensions . . . ), where geometric intuition does not work at all.


    For each of these stages, the interested reader may find textbooks of relevant levels.



5.  For those who knows the method in all details, it might be the way to earn money for life.



6.  For the history of the method and many interesting details/applications, see this Wikipedia article

    https://en.wikipedia.org/wiki/Linear_programming
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