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Management Science for Decision Makers, West Publishing Company,
1993 12. Chase R.B., N.J. Aquilano, Jacobs F.R., Production and
Operations Management / Manufacturing and Services, Irwin-
McGrow-Hill, 1995 13. Lawrence J.A., B.A. Pasternack, Applied
Management Science (Computer Integrated Approach for Decision
Making), J Willey&Sons, 1998 .., .. 1914. Meredith J.R., S.M.
Shafer, E.Turban, Quantitative Business Modeling, South-Western,
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1642,7 = $ 4449,8 . . . 108.
12345678910111213141516171819202122232425262728293031323334353637383940414243A
B C D E F G H I . Max Min % / . 1 16 1 0.060 7.5 4 0 =G3*C3
=G15-100*G32 30 1 0.080 15.8 2 1 =G4*C4 =G16-100*G43 24 1 0.058
7.53 6 1 =G5*C5 =G17-100*G54 28 1 0.053 7.1 8 0 =G6*C6 =G18-100*G65
20 2 0.078 14.8 1 1 =G7*C7 =G19-100*G76 32 2 0.062 9.8 6 1 =G8*C8
=G20-100*G87 34 2 0.071 11.53 5 1 =G9*C9 =G21-100*G98 36 2 0.060
8.37 4 1 =G10*C10 =G22-100*G109 38 3 0.059 7.2 9 0 =G11*C11
=G23-100*G1110 40 3 0.056 7.07 6 0 =G12*C12 =G24-100*G12 1 2 3 4 5
1 - - - - 0.0 - =(B15:F15)-G152 - 21.8 - 8.2 - 30.0 =(B16:F16)-G163
- 3.2 - 6.8 - 10.0 =(B17:F17)-G174 - - - - - 0.0 - =(B18:F18)-G185
- - - - 10.0 10.0 =(B19:F19)-G196 - - 16.0 - 10.0 26.0
=(B20:F20)-G207 18.0 - - - - 18.0 =(B21:F21)-G218 - - 14.0 - - 14.0
=(B22:F22)-G229 0.0 - - - - - =(B23:F23)-G2310 - - 0.0 - - 0.0
=(B24:F24)-G24 18 25 30 15 20 /- =(B15:B24)-B25 =(C15:C24)-C25
=(D15:D24)-D25=(E15:E24)-E25=(F15:F24)-F25=(G15:G24;F3:F12)/(B25:F25)4min
% 5.00% 5.00% 5.00% 7.00% 7.00% % =(F=(G29;G30;G31). 20 18 16 22
20=(B15:F24;B34:F43)K_% 1.50 1.20 1.20 1.00 1.00=(B31:F31;B25:F25)-
=B29*(1-B30*(B28-B27)/B27) =C29*(1-C30*(C28-C27)/C27)
=D29*(1-D30*(D28-D27)/D27) =E29*(1-E30*(E28-E27)/E27)
=F29*(1-F30*(F28-F27)/F27) =(G15:G24;E3:E12)- - 1 2 3 4 51 24.2
17.6 25.8 24.2 18.8 =G28 4 449.8 =(H34-G28)/H342 28.8 9.6 11.8 10.2
15.6 =G29 1 738.8 =(H35-G29)/H353 15 7.8 21.8 8.2 11 =G30 1 672.4
=(H36-G30)/H364 23.2 17.4 25.4 19.8 26.2 =G31 1 038.6
=(H37-G31)/H375 23.6 20.2 22.6 20.4 14.66 14.2 8.2 9.4 15.8 8.47 12
16.2 19.2 18.2 198 15.8 19 12.6 24 21.29 11.4 20.2 16.6 25.4 22.210
21.4 20.2 16.6 25.4 22.2- - . - =(B15:B24;$D$3:$D$12)/B25 . 108 50
10 5- ( B15:F24), 10 10- ( G15:G24), 10 ( G3:G12), 1. H3:H12, ,
I3:I12, , .., .. 227 ( H26), 1. H15:H24, , B26:F26, -, % , (
B28:F28), 1. , (, ), L3. ( L9) - ( L5) 1 . ( L7) , , , , . 1 (
B31:F31). , . . 109. . 109 . 110. , , , 15%, , $700 . 34%, 18%,
23%. , . 4,5, 1,2, . , .
12345678910111213141516171819202122232425262728293031323334353637383940414243A
B C D E F G H I . Max Min % / . 1 16 1 0.060 7.5 4 0 0 0.02 30 1
0.080 15.8 2 1 1 -70.03 24 1 0.058 7.53 6 1 1 -90.04 28 1 0.053 7.1
8 0 0 0.05 20 2 0.078 14.8 1 1 2 -90.06 32 2 0.062 9.8 6 1 2 -74.07
34 2 0.071 11.53 5 1 2 -82.08 36 2 0.060 8.37 4 1 2 -86.09 38 3
0.059 7.2 9 0 0 0.010 40 3 0.056 7.07 6 0 0 0.0 1 2 3 4 5 1 - - - -
0.0 - 0.002 - 21.8 - 8.2 - 30.0 0.003 - 3.2 - 6.8 - 10.0 0.004 - -
- - - 0.0 - 0.005 - - - - 10.0 10.0 0.006 - - 16.0 - 10.0 26.0
0.007 18.0 - - - - 18.0 0.008 - - 14.0 - - 14.0 0.009 0.0 - - - - -
0.0010 - - 0.0 - - 0.0 0.00 18 25 30 15 20 /- 0.00 0 0 0 0 4 4min %
5.00% 5.00% 5.00% 7.00% 7.00% % 7.10% 7.72% 6.11% 7.00% 7.00% 3
795.2Max . 20 18 16 22 20 1 146.4K_% 1.50 1.20 1.20 1.00 1.00 1
372.0- 7.40 6.25 11.75 22.00 20.00 1 276.8- - 1 2 3 4 51 24.2 17.6
25.8 24.2 18.8 3 795.2 4 449.8 15%2 28.8 9.6 11.8 10.2 15.6 1 146.4
1 738.8 34%3 15 7.8 21.8 8.2 11 1 372.0 1 672.4 18%4 23.2 17.4 25.4
19.8 26.2 1 276.8 1 038.6 -23%5 23.6 20.2 22.6 20.4 14.66 14.2 8.2
9.4 15.8 8.47 12 16.2 19.2 18.2 198 15.8 19 12.6 24 21.29 11.4 20.2
16.6 25.4 22.210 21.4 20.2 16.6 25.4 22.2- - . - . 110 , . . , . ,
.., .. 229 , . -, . , , , , . -, , . , , . , , , , . (. [2-6] 2.1
). -, , , - .. .. , , . , , , , ? , , 1 . . , Frontline systems
1991., Standard Solver, , 200 . Premium Solver 2000. Solver, 1 . .
. - www.solver.com - www.maximalsoftware.com - www.cplex.com -
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2004______________________________). , , , , , . , , , , . , ( -) .
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8 9 10 11 12 ## 5 8 6 35 9 13 27 23 19 14 20 20 . 1 5 ## 13 5 37 14
18 28 28 24 19 21 25 . 2 8 13 ## 9 39 7 8 33 17 12 9 26 20 . 3 6 5
9 ## 40 13 16 32 26 21 17 25 26 . 4 35 37 39 40 ## 32 34 12 37 37
33 17 21 . 5 9 14 7 13 32 ## 4 28 15 10 5 22 14 . 6 13 18 8 16 34 4
## 31 10 6 1 25 14 . 7 27 28 33 32 12 28 31 ## 37 36 30 7 22 . 8 23
28 17 26 37 15 10 37 ## 5 9 33 16 . 9 19 24 12 21 37 10 6 36 5 ## 6
30 16 . 10 14 19 9 17 33 5 1 30 9 6 ## 25 12 . 11 20 21 26 25 17 22
25 7 33 30 25 ## 18 . 12 20 25 20 26 21 14 14 22 16 16 12 18 ## a.
, , 12 . . . b. , 2 . . # . , , . , , . ! , , () , . , , , , . . ,
! . , , , . , . - !? . , . , . , , , . , . 1313 , ( 12 ) 13 , , .
=( ) , , . (. 111). A B C D E F G H I J K L M N O P 1 2 0 1 2 3 4 5
6 7 8 9 10 11 12 3 0 ## 5 8 6 35 9 13 27 23 19 14 20
20=(C3:O3;C18:O18) 4 1 1 5 ## 13 5 37 14 18 28 28 24 19 21 25 0 5 2
2 8 13 ## 9 39 7 8 33 17 12 9 26 20 0 6 3 3 6 5 9 ## 40 13 16 32 26
21 17 25 26 0 7 4 4 35 37 39 40 ## 32 34 12 37 37 33 17 21 0 . . 15
12 12 20 25 20 26 21 14 14 22 16 16 12 18 ## 0 16 0 17 0 1 2 3 4 5
6 7 8 9 10 11 12 18 =(C18:O18) 19 1 0 20 2 0 21 3 0 22 4 0 30 12 0
31 0 0 0 0 0 0 0 0 0 0 0 0 =(O18:O30) . 111 . , . .., .. 233 . 112
.. - , - -> 3 -> 1-> . : 2 -> 5-> 2, 7 -> 11
-> 7 (. 113 . 112). 0 1 2 3 4 5 6 7 8 9 10 11 12 0 ## 5 8 6 35 9
13 27 23 19 14 20 20 5 1 1 5 ## 13 5 37 14 18 28 28 24 19 21 25 5 2
2 8 13 ## 9 39 7 8 33 17 12 9 26 20 7 3 3 6 5 9 ## 40 13 16 32 26
21 17 25 26 6 4 4 35 37 39 40 ## 32 34 12 37 37 33 17 21 21 5 5 9
14 7 13 32 ## 4 28 15 10 5 22 14 7 6 6 13 18 8 16 34 4 ## 31 10 6 1
25 14 1 7 7 27 28 33 32 12 28 31 ## 37 36 30 7 22 7 8 8 23 28 17 26
37 15 10 37 ## 5 9 33 16 5 9 9 19 24 12 21 37 10 6 36 5 ## 6 30 16
5 10 10 14 19 9 17 33 5 1 30 9 6 ## 25 12 1 11 11 20 21 26 25 17 22
25 7 33 30 25 ## 18 7 12 12 20 25 20 26 21 14 14 22 16 16 12 18 ##
21 98 0 1 2 3 4 5 6 7 8 9 10 11 12 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0
0 0 1 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 1 0 0 0 0 0 0 0 1 3 1 0 0 0 0
0 0 0 0 0 0 0 0 1 4 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 0 0 1 0 0 0 0 0 0
0 0 0 0 1 6 0 0 0 0 0 0 0 0 0 0 1 0 0 1 7 0 0 0 0 0 0 0 0 0 0 0 1 0
1 8 0 0 0 0 0 0 0 0 0 1 0 0 0 1 9 0 0 0 0 0 0 0 0 1 0 0 0 0 1 10 0
0 0 0 0 0 1 0 0 0 0 0 0 1 11 0 0 0 0 0 0 0 1 0 0 0 0 0 1 12 0 0 0 0
1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . 113 , . 7 -> 11
-> 7, . , C18-O30. , , , J29 ( 7 11), N25 ( 11 7), J29 . , , . ,
, . , 1. . ( . 114 ). 109 0 1 2 3 4 5 6 7 8 9 10 11 12 0 0 0 1 0 0
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 1
0 0 0 1 3 0 1 0 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 0 0 0 0 0 0 0 0 1 0 1
5 0 0 1 0 0 0 0 0 0 0 0 0 0 1 6 0 0 0 0 0 1 0 0 0 0 0 0 0 1 7 0 0 0
0 1 0 0 0 0 0 0 0 0 1 8 0 0 0 0 0 0 0 0 0 0 0 0 1 1 9 0 0 0 0 0 0 0
0 1 0 0 0 0 1 10 0 0 0 0 0 0 1 0 0 0 0 0 0 1 11 0 0 0 0 0 0 0 1 0 0
0 0 0 1 12 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 .
114 -, , 98 109 . .. . . 115 .., .. 235 (. 114 . 115) , . , . ( ),
3 . www.HCXL.ru , . , . . , , Large-Scale LP Solver. - FrontLine
System www.solver.com. . . , 1608 . MS Excel 200 . , , , , , . : .
, . . 1 12 , (), .. 12 . . (1 12) ( 1 12, , ), , 144 (=12*12) . , ,
, . , , , . 144 . . . . 12 . 12 + 11* 12*12 + 12 = 1608 . , , . , ,
. , , , 12 () 13 . (. 116) . D36:O168 C169:C180 . D36 D36:O36 , 1.
D21:O21 D36:O36, R21 = ($D$1:$O$1; D21:O21) . .., .. 237 A B C D E
F G H I J K L M N O P Q R 1 0 1 2 3 4 5 6 7 8 9 10 11 12 2 0 ## 5 8
6 35 9 13 27 23 19 14 20 20 3 1 1 5 ## 13 5 37 14 18 28 28 24 19 21
25 4 2 2 8 13 ## 9 39 7 8 33 17 12 9 26 20 5 3 3 6 5 9 ## 40 13 16
32 26 21 17 25 26 6 4 4 35 37 39 40 ## 32 34 12 37 37 33 17 21 , .
7 5 5 9 14 7 13 32 ## 4 28 15 10 5 22 14 8 6 6 13 18 8 16 34 4 ##
31 10 6 1 25 14 9 7 7 27 28 33 32 12 28 31 ## 37 36 30 7 22 10 8 8
23 28 17 26 37 15 10 37 ## 5 9 33 16 11 9 9 19 24 12 21 37 10 6 36
5 ## 6 30 16 12 10 10 14 19 9 17 33 5 1 30 9 6 ## 25 12 13 11 11 20
21 26 25 17 22 25 7 33 30 25 ## 18 14 12 12 20 25 20 26 21 14 14 22
16 16 12 18 ## 15 , . 16 5 5 9 7 4 1 6 5 16 21 12 7 20 118 17 0
=R21 2 0 0 0 0 0 0 0 0 0 =R33 18 19 1 1 1 1 1 1 1 1 1 1 1 1
=(O36:O180) 20 21 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 22 2 0 0 1 0 0 0
0 0 0 0 0 0 1 1 3 23 3 0 1 0 0 0 0 0 0 0 0 0 0 1 1 2 24 4 0 0 0 0 1
0 0 0 0 0 0 0 1 1 0 25 5 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 26 6 0 0 0 0
0 0 0 0 0 1 0 0 1 1 0 27 7 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 28 8 0 0 0
0 0 0 0 1 0 0 0 0 1 1 0 29 9 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 30 10 0
0 0 1 0 0 0 0 0 0 0 0 1 1 0 31 11 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 32
12 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 33 13 1 1 1 0 34 35 0 1 2 3 4 5 6
7 8 9 10 11 12 36 0 1 1 0 0 0 0 0 0 0 0 0 0 0 = (D36:O36) 37 1 2 0
0 1 0 0 0 0 0 0 0 0 0 1 38 2 0 0 0 0 0 0 0 0 0 0 0 0 0 39 3 0 0 0 0
0 0 0 0 0 0 0 0 0 48 12 0 0 0 0 0 0 0 0 0 0 0 0 0 49 1 3 0 0 0 0 0
0 0 0 0 0 0 0 0 157 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 163 7 0 0 0 0 0
0 0 0 0 0 1 0 1 168 12 0 0 0 0 0 0 0 0 0 0 0 0 = (D168:O168) 169 1
13 0 =C169 170 2 0 =C170 179 11 1 1 180 12 0 0 =($D$1:$O$1;D21:O21)
=(D36:D48)=(D109:D120)=(D36:O36) . 116 D37:O48. F37 , 3 (. , 1,
F35). A37. P36:P168 . , . , , , P37:P48 D21:O21. , . , ( , , )!
D22:O22 D37:D48 O37:O48, , . .. D22:O22 , . R22 = ($D$1:$O$1;
D22:O22) . D49:O60. P49:P60 D22:O22, . 13 . , . 12 : C169:C180. , ,
, .. . P169:P180 D32:O32, Large-Scale LP Solver. , 1 , C19:O19. ,
1, . 1 Q21:Q33. : 1 2, 3, 412, 2 2, 3, 412 .. 12. , Q21:Q33 = 1, .
, . , , , . C2:O14 . C16 =($C$2:$O$2;$C36:$O36) . D16:O16
=($C$3:$O$14;$C37:$O48) , .. (Q16), , . . , , (. 117) .., .. 239 .
117 , . Options (. 118) . 118 , 1-3 , , , : 118 , - (0) 1 3 2 5 6
10 9 8 12 4 7 11 (0) , . . 119 . . 119 b. , , 2. . , , , , . , MS
Excel. . , , 2. . . , 2 . 2 , , . . , , . 120. .., .. 241 A B C D E
F G H I J K L M N O P Q R 1 0 1 2 3 4 5 6 7 8 9 10 11 12 2 0 ## 5 0
6 35 9 13 27 23 19 14 20 20 3 1 1 5 ## 5 5 37 14 18 28 28 24 19 21
25 4 2 2 0 5 ## 6 35 9 13 27 23 19 14 20 20 5 3 3 6 5 6 ## 40 13 16
32 26 21 17 25 26 6 4 4 35 37 35 40 ## 32 34 12 37 37 33 17 20 , .
7 5 5 9 14 9 13 32 ## 4 28 15 10 5 22 14 8 6 6 13 18 13 16 34 4 ##
31 10 6 1 25 14 9 7 7 27 28 27 32 12 28 31 ## 37 36 30 7 22 10 8 8
23 28 23 26 37 15 10 37 ## 5 9 33 16 11 9 9 19 24 19 21 37 10 6 36
5 ## 6 30 16 12 10 10 14 19 14 17 33 5 1 30 9 6 ## 25 12 13 11 11
20 21 20 25 17 22 25 7 33 30 25 ## 18 14 12 12 20 25 20 26 21 14 14
22 16 16 12 18 ## . 120 , 2 , , . Large-Scale LP Solver, : R21 = 2.
, 2 . : (0) 2 3 1 11 7 4 12 8 9 10 6 5 (0) 112 . , . , . , . 2.1.
2.1. 11- . , 1 2 3 4 5 6 7 8 9 10 11 1 15 15 20 23 25 27 28 29 30
35 38 2 13 13 21 23 19 24 29 31 27 29 35 3 12 13 16 23 26 26 26 31
33 33 32 4 11 15 20 24 19 25 27 27 32 35 33 1 2 3 4 30 75 55 40 ( )
. 1 2 3 4 5 6 7 8 9 10 11 - 15 20 15 20 15 10 25 10 10 25 35 , . #
2.2. W1, W2, W5 D1, D2, D10 1 . , , D4 W 3, D9 W 1 D7 W 5. D1 D2 D3
D4 D5 D6 D7 D8 D9 D10 .., .. 243W 1 14 6 5 12 6 14 14 11 6 12 W 2
13 10 4 15 14 9 8 16 4 17 W 3 15 13 11 5 9 7 6 7 14 6 W 4 12 17 4
12 14 6 11 7 9 12 W 5 18 12 11 9 8 17 8 11 8 9 . D1 D2 D3 D4 D5 D6
D7 D8 D9 D10 - 6 11 11 3 12 12 8 3 2 11 W 1 W 2 W 3 W 4 W 5 - 17 23
10 24 5 a. , . b. ? . # 2.3. . . , . - 1 - 2 - 3 - 4 - 5 - 6 - 7 -
8 1 345 340 360 360 350 355 335 340 2 335 360 355 355 345 345 350
355 3 350 340 340 345 350 345 350 345 4 350 335 350 340 360 360 365
360 : - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 , 26 14 28 17 13 18 34 54 : 1
2 3 4 , 45 78 63 62 8 , 1 - 4. a. , , . ? b. ? , . # 2.4. . . , . -
1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 1 255 270 255 270 250 265 270 250 2
270 270 270 260 265 255 250 260 3 260 270 255 245 260 245 255 255 4
250 270 245 265 260 260 245 265 : - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 ,
31 32 28 42 46 29 41 89 : 1 2 3 4 , 65 119 63 69 , , .. 8 , . . a.
, . ? b. ? c. ? . # 2.5. 5 . , , (. ). . A B C D E 43 450 510 610
470 520 44 460 360 380 390 390 45 570 420 390 360 550 46 600 500
590 640 500 47 370 530 440 430 550 48 470 460 410 610 390 49 470
530 510 560 400 - : .., .. 245 A B C D E 45 61 57 54 179 : 43 44 45
46 47 48 49- 49 39 64 69 48 46 70 . a. ? b. ? c. ? d. ? . # 2.6. 1,
2, 3 4 . . (1 10). 1 . , . . C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 1 3.1
18 7.5 17.6 9.3 14 9.7 14.5 8.1 14.1 2 3.8 6.8 6.3 8.3 17.3 12.3
16.3 5.2 5.1 13.9 3 9.6 5.6 7 16.8 8.5 10.4 11.2 8.2 8.3 18.9 4
12.5 16.2 6.6 16.5 14.9 3.4 5.6 14.2 11.3 17.4 , . . C1 C2 C3 C4 C5
C6 C7 C8 C9 C10-, 2 2 5 4 5 4 4 1 2 3 , . 1 2 3 4 - 4 11 17 20 , -
3 2 3 .. a. , . ? b. ? c. ? # 2.7. W1, W2, W5 C1, C2, C9 1 . , , 3
W4 W5. C1 C2 C3 C4 C5 C6 C7 C8 C9 W1 48 65 57 57 68 54 65 49 49 W2
63 45 58 75 51 70 56 52 75 W3 65 65 57 46 62 67 75 72 43 W4 62 75
57 66 60 60 59 55 57 W5 52 44 51 77 44 56 55 60 48 . C1 C2 C3 C4 C5
C6 C7 C8 C9 - 45 36 31 28 19 40 30 39 46 W1 W2 W3 W4 W5 - 58 45 68
63 39 a. , . ? b. ? c. ? d. - 3 W4 W5? # .., .. 2472.8. VIP- (-)12
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Mistral 10 15 18 30 32 18 35 Giro 6 7 6 12 14 11 16 Maxi 5 8 12 14
15 8 20 Veroca 2 2 1 6 5 3 8 Dany 12 15 11 17 20 14 18 Ondex 15 10
18 29 34 20 28 Srisce 8 6 10 15 17 7 20 Metafisika 17 18 23 33 35
19 28 a. , , . , Cubi Giro, Maxi, - Dany, Veroca, Ondex. ( , )? ( )
? b. , . , . ? ? # 12 MBA ( MBA 04) 2003 . ( " "). 2.9. . 1 . , . .
- 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 1 395 310 355 315 315 310 295
295 325 2 350 300 360 345 345 275 270 285 300 3 320 345 305 380 385
335 320 265 300 : - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 , . 9 11 10
18 12 13 12 6 25 : 1 2 3 , . 46 44 47 9 , 1 - 3. 2 -> 3 . a. , ,
. ? b. ? # 2.10. . (. ). A B C D E 16 845 925 900 715 925 17 905
685 665 665 720 18 710 665 830 800 735 19 835 645 785 665 815 ..,
.. 249 20 825 930 795 715 960 21 745 785 935 780 885 22 680 715 895
665 710 23 655 715 765 865 830 - : A B C D E 160 186 123 165 135 :
16 17 18 19 20 21 22 23- 128 104 76 78 60 117 130 56 . a. ? b. ? c.
? d. , - 20 D . 100 . - ? e. ? # 2.11. . . A 1 130 70 140 70 50 2
110 80 120 60 80 3 60 100 100 80 110 4 140 80 100 100 150 ( ): 1 2
3 4 , \ 30 48 20 30 : A , \ 18 27 42 26 15 a. , . b. , , . , , . ,
. ? c. , , , , . , , , . ? # 2.12. : , , , , . , , . , . .
-200-1000100200300400500600-400 -300 -200 -100 0 100 200 300 400
5000 3 . : , . . .., .. 251 10 . 3 , , 3 . 3 . ( ), ( ) ( ). 5 . .
- 1 - 2 - 3 - 4 - 5 . . 1 . . 2. 106 157 60 248 184 179 356 1 104
80 72 167 220 177 343 2 153 310 199 277 117 77 106 3 81 236 85 283
78 109 276 4 146 31 121 137 266 212 367 5 228 236 256 114 307 215
243 . . (3 ) - 1 - 2 - 3 - 4 - 5 . . 1 . . 2 1000 1200 850 2500
1500 2200 750 , . a. , 5 . ? b. , , , , . ? # 2.13. 3 1, 3 : X, Y ,
Z W. : A B. , , . X Y Z W A B A B A B A B A 45 50 40 50 1 B 100 90
105 100 A 45 60 55 55 2 B 95 85 110 100 A 60 55 40 50 3 B 90 85 85
95 A, B. X Y Z W A B A B A B A B , . 12 36 - 19 13 37 29 50 : 1 2 3
A B A B A B , . 34 47 20 50 - 45 a. , . , . b. ? # 2.14. 1, 2, 3 :
X, Y Z. : A, B, C. , , . X Y Z A B C A B C A B C A 46 - - 64 - - 61
- - B - 91 - 91 - - 113 - 1 C - - 214 - - 161 - - 206 A 37 - - 63 -
- 46 - - B - 113 - - 104 - - 119 - 2 C - - 116 - - 89 - - 108 A 51
- - 58 - - 37 - - B - 168 - - 168 - - 224 - 3 C - - 183 - - 164 - -
184 A, B, C X Y Z A B C A B C A B C , . 66 18 92 - 30 90 44 75 88 :
1 2 3 A B C A B C A B C , . - 35 114 59 34 83 51 54 73 .., .. 253
a. , . , . b. ? # 2.15. 3 1, 3 : X, Y , Z W. : A B. , , . X Y Z W A
B A B A B A B A 40 45 45 35 1 B 80 60 75 65 A 40 45 30 40 2 B 60 60
60 70 A 40 35 50 45 3 B 85 70 70 85 A, B. X Y Z W A B A B A B A B ,
. 7 3 12 4 15 14 28 10 : 1 2 3 A B A B A B , . 16 9 18 5 28 7 a. ,
. , . b. ? c. , Z . ? # 2.16. 6 . . - - , . S1 S2 S3 S4 243 281 268
179 971 D1 D2 D3 D4 D5 D6 59 141 44 43 123 286 696 D1 D2 D3 D4 D5
D6 S1 12 11 15 15 14 14 S2 11 14 9 11 12 15 S3 9 13 12 14 16 11 S4
12 9 13 11 16 12 . , . , ( - , , - ). , - . W1 W2 W3 D1 D2 D3 D4 D5
D6 S1 8 5 6 W1 4 4 4 7 6 6 S2 6 5 6 W2 5 6 7 7 6 8 S3 5 5 4 W3 7 4
7 7 4 6 S4 4 7 7 . a. . b. - , - -. , ( ), . c. - , - -, , , . ..,
.. 255# 2.17. . , . . 01 35 11 21 02 24 12 25 03 22 13 40 04 24 14
19 05 27 15 17 06 18 16 31 07 16 17 37 08 19 18 25 09 14 19 31 10
22 20 33 300 , 200 , , . 110 . . 1 2 3 4 5 405 400 465 335 325 380
370 340 335 385 , , , . . 01 695 605 11 465 575 02 585 510 12 640
520 03 525 560 13 595 660 04 680 575 14 680 420 05 465 465 15 470
605 06 655 635 16 505 475 07 515 620 17 730 635 08 350 595 18 600
505 09 665 650 19 680 555 10 675 505 20 395 540 , . 1 2 3 4 5 01 75
85 90 135 110 02 90 65 155 130 75 03 90 95 140 80 85 04 160 135 100
85 80 05 115 150 95 70 130 06 95 115 110 115 120 07 85 40 115 110
75 08 115 145 160 90 80 09 125 100 35 95 75 10 105 105 140 120 65
11 145 145 65 90 120 12 95 75 85 80 50 13 95 80 100 75 100 14 65
175 50 115 90 15 55 105 80 50 125 16 105 70 130 130 100 17 125 75
105 100 125 18 125 80 105 80 100 19 140 100 80 115 115 20 50 85 140
60 85 , . a. , . b. . 50 , . . , . ? # 2.18. 3 : , . , : () (3) 12
700 .., .. 257 18 900 10 500 , , . 4 . , () (3/) ($/) 1 20 5 320 2
16 70 400 3 25 60 360 4 13 40 290 . a. , , . b. , . , ? # 2.19. - -
4000 5 : 500, 1000 , 1500, 1200 600 3. 8 1 : - 350 , 3 3; 1600 , 1
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