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. 2

1. . 3

1.1 . 3

1.2 . 4

1.3 . 5

1.4 . 6

2. . 9

2.1 . 9

2.2 . 11

2.3 . 13

2.4 . 17

3. . 19

3.1 . 19

3.2 . 20

3.3 . 22

4. - . 24

4.1 . 24

4.2 . 26

1. .

1.1 .

48 30 29 10 -

- 3 2 4 3 198

2 3 1 2 96 -

6 5 1 0 228

x1,x2,x3,x4 - 1-,2-,3-,4- , . . . :

P(x1,x2,x3,x4) =48*x1+30*x2+29*x3+10*x4 --> max

3*x1+ 2*x2+ 4*x3+ 3*x4=0

48 30 29 10 0 0 0 Hi /qis

1 2 3 4 5 6 7

0 5 198 3 2 4 3 1 0 0 66

0 6 96 2 3 1 2 0 1 0 48

0 7 228 6 5 1 0 0 0 1 38

0 -48 -30 -29 -10 0 0 0

0 5 84 0 -0.5 3.5 3 1 0 -0.5 24

0 6 20 0 1.33 0.67 2 0 1 -0.33 30

48 1 38 1 0.83 0.17 0 0 0 0.17 228

1824 0 10 -21 -10 0 0 8

29 3 24 0 -0.14 1 0.86 0.29 0 -0.14

0 6 20 0 1.43 0 1.43 -0.19 1 -0.24

48 1 34 1 0.86 0 -0.14 -0.05 0 0.19

2328 0 7 0 8 6 0 5

, . : x1=34, x2=0, x3=24, x4=0, x5=0, x6=20, x7=0. Pmax= 2328.

1 3 , ( ).

1.2 .

CX-->max YB-->min

AX=0 YA>=C, Y>=0

P= 48*x1+30*x2+29*x3+10*x4 -->max S= 198*y1+96*y2+228*y3 -->min

3*x1+2*x2+4*x3+3*x4=48

2*x1+3*x2+1*x3+2*x4=30

6*x1+5*x2+1*x3+0*x4=29

x1,x2,x3,x4>=0 3*y1+2*y2+0*y3>=10

y1,y2,y3>=0

:

, (y1,y2,y3) -: 1=6, 2=0, 3=5. Smin=2328.

:

, - , . - , .

(6) , , 2=0. 1 3 , : 3*1 +6*3 = 48

4*1 + 3 = 29

, : 1=6, 2=0, 3=5.

1.3 .

: x3:x1= 1; x4:x2=3 3=1; 4=3*2. , .

77*1 +60*2  max

7*1 +11*2 ≤ 198

3*1 + 9*2 ≤ 96

7*1 + 5*2 ≤ 228

12 . grad(77,60). 1=0; 228.29 max2178.

1.4 .

: 4 , 700 . . 4 . 100 . . i- m ( . ) fi(m). :

f1(x1)+f2(x2)+f3(x3)+f4(x4)-->max

x1+x2+x3+x4=0

xi - i- . : k=2,3 4 . m , z2(m) 2- , f2(z2(j))+f1(m-z2(j)), 00,2, .

s(x)= exp((7/2)*ln(1/2+)) - exp((7/2)*ln(1/2-))

w(z)= 1 - exp((7/2)*ln(1-z))

s(0,25)=0,36 0,3620, .




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