Question 1054488
Let {{{X}}} be the number of LCD sets, {{{Y}}} the number of plasma sets.
Material: {{{125X+150Y<=18000}}}
Labor : {{{80X+85Y<=10750}}}
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*[illustration de12.JPG].

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You don't have a target to aim for. 
Typically you want to achieve the highest profit or make the most number of TVs.
I'll assume you want to maximize the number of TVs.
{{{P=X+Y}}}
So at each of the vertices, calculate P.
(0,120): {{{P=0+120=120}}}
(60,70):{{{P=60+70=130}}}
(134.375,0):{{{P=134.375+0=134.375}}}
Since you can only make whole TVs, round down to {{{P=134}}}. 
So make only plasma TVs to maximize the number of TVs you make.