Question 1112478
.
<pre>
The constraining lines  are shown in the Figure below:


{{{graph( 330, 330, -5.5, 20.5, -5.5, 20.5,
          (30-x)/2, (30-2x)/2, 30-2x
)}}}


Plots x + 2y = 30 (red),  2x + 2y = 30 (green)  and  2x+y = 30 (blue)



The feasibility area, according to the condition, is the area of the first quadrant 

    - above the red line,

    - below the green line,

    - above the blue line.


It is easy to see from the plot that this set is empty.
</pre>

<U>Answer</U>.  The feasibility area is empty. The solution of the LP-problem is not possible (does not exists).


--------------
On solving minimax problems by the LP-method see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <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.