, ,
a11x1 + a12x2 b1
a21x1 + a22x2 b2
..
am1x1 + am2x2 bm
x1 0, x2 0
,
31 + 22 12
, 12. ()
31 + 22 = 12
, . 31 + 22 = 12 1 0 2 ( ), . 3.1.
X2
.3.1.
, 1, 2, 3x1 + 22 12, , ( ), , . , , (1,1), .. , x1= 1, x2 = 1, , 5 12. , ( ) ( (x1, 2)), .
, , , , , .
1, 2 , , , , , . 3.1.
, bi, . . , , . (), .
, 12 18, 31 + 22 < 18, 3x1 + 2x2 = 18, (. 3.2).
. 3.2. ( )
|
, . , , : 1+ 2x2> 4.
,
3x1 + 2x2 12
x1 +2x2 4
x1 0, x2 0
, x1+ 2x2 4. x1 + 22 = 4, , , (. 3.3). , , , .
X2
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.3.3.
, 21 x2 1, :
3x1 + 2x2 12
x1 +2x2 4
21 x2 1
x1 0, x2 0
, 2x1 x2 1. (. 3.4) , , 2x1 x2 =1. , (. 3.3), , , . . . 3.4.
, , , . , , , .
X
2
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. 3.4.