Question 1173139
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Very similar problem  (EITHER  identical,  OR  a  TWIN)  is solved in the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/misc/Solving-linear-minimax-problem-in-three-unknowns-by-the-simplex-method.lesson>Solving linear minimax problem in three unknowns by the simplex method</A>, Problem 1

in this site.


Consider it as your &nbsp;TEMPLATE.



Your current problem contain the list of additional requirements, &nbsp;but they, &nbsp;on my opinion,

all &nbsp;(or almost all) &nbsp;are &nbsp;EMPTY, &nbsp;since they &nbsp;DO &nbsp;NOT &nbsp;ADD &nbsp;new restrictions to the problem.


(In simple human language, &nbsp;these additional requirements is the water, &nbsp;added with the only goals 

to sell the old problem as a new one and to confuse the reader ---


there are such &nbsp;"problem composers" &nbsp;who allow themselves do it --- UNFORTUNATELY).