管理运筹学课后答案-----韩伯裳

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120“.792(6)ᨵ%.τ,ᦪ4஺83X=433.(1).᪗;<=max/=3%1+2x+0⎃+0%+0.29%]+2X+»=3023x+2X+G=13}22x+2X+$3=9}2X,X,5,5,5>0|2123(2).᪗;<=minf=4+6x+0⎃+0.23x)-x-s=621x+2X+§2=10127%j-6X=42x,x,s,s>0l2i2(3).᪗;<=min/=xQ-2x4-2xQ+05.4-0^2-3xj+5X-5X+4=70222x,-5X+5X=50223xj+2X-2X-S=30222x\,x,x,s,s>022i24.᪗;<=maxz=10/+5x+04+0*23.+4X+S]=925x+2X+⎃=8}2X,X,5,5>012I2XYZ[\0,0]ᨬX]=1,x2=3/2.

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ZᓄᨬeZ஺ᙠ400ᑮx')ZᓄᨬeZ.c450মg.-L=-------<-1ᡠmyᩭḄᨬ{|}ᔠeZ.|430

38.(1)nominf=Sx+3xab50x+100x<1200000aA5X"+4x>60000fe100x>300000fcNOa,bᑖt4000,10000,᳛60000ফnoZmaxz=5x+4xflh50x+100x<1200000afe100x>300000fc%"0%!=18000஽=3000ᦑaᢗ90bᢗ30஺

43
ឋᑜ⚪Ḅ1.(1)X=150,%=70஺᪗ᦪᨬ103000஺(2)1,3Ḅ¡¢£ᵨ¥Q2,4Ḅ¡¦ᵨ¥Q¦ᵨ¥Ḅ¡ᦪ2330§¡,415§¡.(3)50,0,200,0¨©1ª«1¡¬ᑭ®«50ᐗQ3ª«1¡¬ᑭ®«200ᐗQ2G4ª«.°¡¬ᑭ®e«஺(4)3g«Ḅᑭ®ᨬᜧ஺(5)ᙠ400ᑮx')Ḅ³ᑁZᓄᨬ{|Ḅ}ᔠeZ஺(6)eZgᙠµ0,500Ḅ³ᑁ஺(7)ᡠ¶Ḅ·▲¹º▲ᢣh¼½ᩩ¿ḄÀÁᙠÂóᑁZᓄ¡¼½ᩩ¿1ḄÀÁᙠµ200,440ZᓄÄᏔÆÇÈ50(ÉᳮËᐸͼ½ᩩ¿)஺(8)¬ᑭ®«Î100X50=5000,ᨬ{|}ᔠeZ஺(9)eÏgÄᏔÆÇÐÑZᓄ஺(10)eÐÑZᓄgᐕÓ«ḄÔᑖÕGᐕÓÖ×ḄÔᑖÕعW-+ᳮ100%100100(11)eÐÑZᓄgᐕÓ«ḄÔᑖÕGᐕÓÖ×ḄÔᑖÕعᡃ+Û<100%,ᐸ140140ᨬᜧᑭ®103000+50X50-60X200=93500ᐗ஺2.(1)4000,10000,62000(2)¼½ᩩ¿1¬ᢗÜ«1°ᓫÞß◅áᦪᑣãä0.057Q¼½ᩩ¿2åÜ«1°ᓫÞß◅áᦪᓣç2.167Q¼½ᩩ¿3BḄᢗÜ«1°ᓫÞß◅áᦪeZ஺(3)¼½ᩩ¿1ḄXYZ[s0,⊤êᢗÜxë1200000Q¼½ᩩ¿2ḄᒕcZ[s0,⊤êᢗ᳛xës60000Q¼½ᩩ¿3ḄXYZ[700000,⊤êᢗBḄᢗÜ370000஺(4)heZ¡Jᙠ3.75ᑮx')Ḅ³ᑁZᓄᨬeZQhGeZ¡Qᙠï')ᑮ64Ḅ³ᑁZᓄᨬeZ஺(5)¼½ᩩ¿1ḄÀÁᙠµ780000,1500000ZᓄÄᏔÆÇÈ0.057(ᐸÍÉᳮ)஺42(6)eÏgᐕÓÖ×ḄÔᑖÕGᐕÓ«ḄÔᑖÕع——+—>100%,ᳮᵫðÔ4.253.6ᑖØ.Ôᑣ஺

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6-4./ឋ1ᑜᙠ4ᖪ6ᳮ8Ḅ:ᵨ1.<=>ᵨᨬ@ḄAᩞᧇDᑮ10F┡᮱◤⌕KᔠMᵨ14NOᧇPᫀ஺Rᢥ14NPᫀOᧇḄAᩞᧇḄ᪷ᦪᑖUX1X2,X3X4X5x,X,X,X9XXn67810X12X]3X14,[\᝞O=⊤4-1ᔜNOᧇP`12345678910111213142640mm211100000000001770mm010032211100001650mm001001021032101440mm00010010120123minf=X]+x2+x3+x4+x5+x6+x7+x+x9+x]o+x|i+Xi2+X|3+xi48S.t.2x]+xz+x3+x4>80X2+3X5+2X6+2X7+X8+X9+X102350X3+X6+2X8+X9+3X11+2X12+X13>420X4+X7+X9+2XIO+X[2+2X]3+3X]4210XpX2X3,X4,X5,X6X7,X8X9,X10X]pX12X”,X>014ᵨ6ᳮjklmnᡃopqDrs⚪Ḅ<=xτ=40,X2=0,X3=0,X4--O,X5~116.667>xg--0,X7~0»xg=O,X9=0,xio=0,X]]=140,XI2=0,xi3=0,X]4=3.333ᨬuv300o2.<=wxᓤ11zᑮOᓤ10zᑖᡂ11|}~RXi⊤-i}~᣸Ḅz4Ḅᦪ,[\᝞O=minf=16(X1+X2+X3+X4+X5+X6+X7+X8+X9+X10+X11)s.t.X|+1>9X1+X2+1>9X1+X2+X3+229X1+X2+X3+X4+2>3X2+X3+X4+X5+123X3+X4+X5+X6+2>3X4+X5+X6+X7+1>6X5+X6+X7+X8+2>12Xe+xi+xg+xg+Z212X7+X8+X9+X10+1>7X8+X9+X10+X]]+127X1X,x,X4,X5,X,X7,X,X,X]0Xjj>023689ᵨ6ᳮjklmnᡃopqDrs⚪Ḅ<=X]=8,x=0,x=1,x=1,x=0,X=4,X=0,XS=6,X9=0,X]=0,Xn=0234567

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14yzX6È^SᨴÅ·jkX7CÆÇjkXgCyzXgÈ^TᨴÅ·jkXi஺,ÆÇjkX”,;<☢ḄᦪMinf=200(x1+x+x+x)+300(x+x+x+x)+60(x+x+x)47l025g11369s.tx,<4000x<40004X<40007X<4000IOx<10003x<10006x<10009x<10002x<10005x<10008x<1000H%!+x-x=450023x+x+x-x=3000345bx+x+x-x=55006789x+x+=4500910x,x,x,x,x,x,x,x,x,x,x>0l234567g9l0llᵨ3ᳮ5678ᡃ:;<=>?@⚪ḄBᨬGHf=3710000ᐗx|=4000ᔴCX2=500ᔴ,X3=0ᔴ,x4=4000ᔴ,x=0Hi|j5x=1000ᔴ,x7=4000ᔴ,x§=500ᔴ,x=0ᔴ,x=4000ᔴCx“=500ᔴ஺69|()

15^5ÎᓫÐÑÒ1.B⊤Óaஹcஹeஹf×;ÃBCaஹbஹf×ÙÚBCaஹf×ÙÚ;ÃB஺2.B(1)ÛÜឋÞᑜḄ᪗àmax5x]+9x2+Osi+OS2+OS3s.t.0.5X]+X2+SI=8X|+X2-S2=1O0.25XI+0.5X2—S3=6Xj,X,SuS2S3202(2)ᨵádḄHâãCäᨵSÙdஹáåÙdCåÙdâã஺(3)(4,6,0,0,M2)1(4)(0,10,~2,0,-1)T(5)n×஺äÙÚ;ÃB⌕=ÙdḄHᐰèåé஺(6)ᶍ3.Bপx\x2X3S2S3ìíîᦪÙdCBb63025000031010040$20021010500S302[1]-1001200000000CJ-ZJ63025000(2)ÜឋÞᑜmax6x1+30x2+25x3s.t.3XI+X2+SI=402X2+X3+S2=502x]+x2-X3+S3=20X],X2X3,SpS2S320বñòBḄÙ(S|,s,s)T,ñòB(0,0,0,40,50,20)T,ªóḄ᪗¢ᦪ23H0»(4)^Mîìí¹CᐭÙd¹X2õÙdS3஺4.BᨬGB(2.25,0)TCᨬGH9஺

16ᓫÐÑÒ:X2S|52ìíîᦪÙdCBb4100013107§20[4]20190ZJ0000CJ-ZJ4100002.51-0.254.75ö410.500.252.25142010-10-15.B(1)ᨬGB(2,5,4)TCᨬGH84o(2)ᨬGB(0,0,4)SᨬGH-4஺6.BᨵµøB

177.B(1)µ;ÃB(2)ᨬGB(4,4)TCᨬGH28஺(3)ᨵµøB(4)ᨬGB(4,0,0)TCᨬGH8஺

18^6ÎᓫÐÑÒḄᮣ¼½ᑖ᪆ùªᏔ1.B(1)C|W24(2)஺226ব2.B(1)-0.5(2)-2WC3WO(3)C<0.5S23.B:(1)ú2250(2)0WûW50(3)0஺31504.B:(1)(2)OW^WIO(3)û245.B(1)ᑭýþ°jW3,ᦑci=2
ᨬ(2)᪷ᩞᧇḄᏔ1ᑨᑭ(3)0WᔊW45(4)ᨬᦑ◤⌕ᦋᑜ(5)
ᑜ◤⌕ᦋ"#Ḅ$%Ḅ&'ᦪ-3)*+,ᑜ-ᨵ/0஺6.2ᙳ45ᨬ᪷6%789Ḅ:;<9᝞;>?ᡈᒕBC+DEḄᏔF+ᡈὅHᙠJK+ḄLMCNDᐸPQKF+
RSTឋVᑜᨵWXYZ஺7.2(1)minf=10yi+20y2.s.t.yi+y222yi+5y2-1yi+y22iyi,y2,0(2)maxz=100yே+200y2.s.t.l/2y௃+4y2W4

192yi+6y2^42yi+3y2W2yi,y2208.2(1)minf=-10yi+50y2+20y3.s.t.-2yi+3y2+y3'l-3yே+y222-yi+y+y=523yi,y220,y3-ᨵ_`▲ᑴ஺(2)maxz=6yc3y2+2y3.s.t.yi-y-y3^122y,+y2+y=33-3yi+2y-y^-223yi,y^O,y-ᨵ_`▲ᑴ239.:maxz=-2X-3x23-Xj+x-x+x=-42341I++2ᡀ3+x=8■(5-x+x+x=-2236N>0,J=6ᵨᏔᓫhiX2X3$2S3jklᦪmC"b-1-2-30000[-1]1-1100-4S2011201080$300-11001-2Zj000000J-"-1-2-30001-11-11-1004S]00211104

20$300l-l]1001-2-11-1100Cjf0-3-2-100-1100-10-1652000311202x-201-100-122Zj-1-2210300-5-10-3ᨬ2X1=6,X2=2,X3=0,n᪗pᦪᨬK10஺

21q7rs8t⚪1.v1xt⚪├z⊝t⚪ᵬ~ᑁTC1ᑖᔆ211723253002ᑖᔆ101530194003ᑖᔆ.23212022500├C4002503502001200ᨬ᝞├1234102500502400000300350150s8t⚪Ḅᡂᡈᦈ219800t⚪Ḅ᜜Ḅ᝞2├1234102505002400000300300200s8t⚪Ḅᡂᡈᦈ219800v2x᝞;2ᑖᔆCᑮ600,ᑣ├z⊝t⚪ᨬ᝞├123410250002400002003003500s8t⚪Ḅᡂᡈᦈ2190502ECY9◤C200q1ᙢḄᒕB50q3¡ᙢᒕB150v3x├ᙢᵬḄ◤¢F├z⊝t⚪

22ᨬ᝞├1234150250002400000300350150s8t⚪Ḅᡂᡈᦈ2196002◤CY9EC150q1¡├ᙢ£¤¥¦§¨100q4¡├ᙢ£¤¥¦§¨502.✌ᐜ%⚪Ḅᑭ«¬IIIIirIIIIVVVIᵬ0.30.30.40.40.30.40.10.9~0.30.30.10.1-0.40.2-0.20.6¯0.050.050.050.050.150.05-0.050.55T-0.2-0.20.30.30.1-0.1-0.10.1ᵫ*n᪗pᦪ±“max”·n᪗pᦪ“min”ᑣº»ᑭ«¬º¬:II1IIII-IIIVVIᵬ-0.3-0.3-0.4-0.4-0.3-0.4-0.1-0.9~-0.3-0.3-0.1-0.10.4-0.20.2-0.6¯-0.05-0.05-0.05-0.05-0.15-0.050.05-0.55T0.20.2-0.3-0.3-0.10.1().1-0.1ᵫ*¾ᳮsÀÁÂÃÄ⌕ᡠ8ᐭḄᦪKÇÈ_`ᑣ·»⊤ÄḄᡠᨵᦪKᙳÊ»1,"ᓃ⊤Ìͺ¬21*IIII,IIIIVVVIᵬ0.70.70.60.60.70.60.90.1~0.70.70.90.91.40.81.20.4¯0.950.950.950.950.850.951.050.45T1.21.20.70.70.91.11.10.9Êᐭ├Cs8¬᝞F21I1IIII,IIIVVICᵬ0.70.70.60.60.70.60.90.1300~0.70.70.90.91.40.81.20.4500¯0.950.950.950.950.850.951.050.45400

23T1.21.20.70.70.91.11.10.9100├C150150150100350200250150ᵫ*º»¬├Cᜧ*CᡠºÊᐭ5¡ÐÑᙢÒC200,¬᝞⊤ᡠÓ:II'IIII'IIIWVVICᵬ0.70.70.60.60.70.60.90.1300~0.70.70.90.91.40.81.20.4500¯0.950.950.950.950.850.951.050.45400T1.21.20.70.70.91.11.10.9100ÒM0M000M0200├C15015015010035020025()1501500ᵨ¾ᳮsÀÁÂÃ%Ø9:;᝞:ᵫ*%ÙÚÄ·⊤ÄḄᡠᨵᦪKᙳÊ»1"E·ÛÜᑖÊ»ḄKÝᣵᡠº935-1300x1=-365஺à"ᨬá·n᪗pᦪÍ“min”"ᑭ«t⚪Ḅ:;365஺3.â2ãäḄs8¬᝞112306012018021600600+60600+60X23f600+600X10%600+600X10%+60600+600X10%+60X232M700700+6042M700+700X10%700+700X10%+6023MM65023,MM650+650X10%3

24556ᨬ᝞├1231101230031104040500060027003s8t⚪Ḅᡂᡈᦈ29665:ECY9◤C3q3¡ᙢᒕB1q5¡ᙢᒕB2t⚪Ḅ᜜Ḅ᝞å2├1231200230030204031500060027003s8t⚪Ḅᡂᡈᦈ29665:ECY9◤C3q3¡ᙢᒕB1q5¡ᙢᒕB2t⚪Ḅ᜜Ḅ᝞å2├123

251200230030114040500060027003s8t⚪Ḅᡂᡈᦈ296652ECY9◤C3q3¡ᙢᒕB1q5¡ᙢᒕB24.:ᵬ~ABCDᵬ01001502001802401600~80080210601701700A15080060110801100B200210700140501100C180601101300901100D24017090508501100110011001400130016001200ᨬ᝞├12345611100030020000201100006000300110000040001100005000010001006000001100s8t⚪Ḅᡂᡈᦈ130000஺5.2ãäḄs8¬᝞2minf=54x]]+49xi2+52xi3+64xi4+57x2i+73x22+69x23+65x24S.t.X]]+X]2+X]3+X]4<1100,X21+X22+X23+X24w1000,X1I,X|2,X|3,X|,X1,X22,X23,X420.422

261234A544952641100B577369611000500300550650ᨬ᝞├123412503005500225000650s8t⚪Ḅᡂᡈᦈ21107002ECY9◤C100q2¡ᙢᒕB1006.2(1)ᨬ)ᐗçḄáè᝞:123Cᵬ874"015~35925455011U1¯000011├C20200§00ফᨬ᝞├1231001522050s8t⚪Ḅᡂᡈᦈ21452◤CY9EC10

27q2¡├ᙢ£¤¥¦§¨5q3¡├ᙢ£¤¥¦§¨5(3)ês8t⚪ëᨵ5¡ᨬ"ᐸ&'ᦪᙳ+(4)ᨬ᝞├1231001522500s8t⚪Ḅᡂᡈᦈ21352◤CY9EC20q1¡├ᙢ£¤¥¦§¨5q2¡├ᙢ£¤¥¦§¨10q3¡├ᙢ£¤¥¦§¨5

28q8r᦮ᦪVᑜ1.åᑡ᦮ᦪVᑜt⚪a.maxz=5x1+8x2s.t.X]+X2<6,5XJ+9X2<45,X|,x>0,D᦮ᦪ2n᪗pᦪᨬ2xî=0,xî=5,z*=40஺b.maxZ=3XI+2X2s.t.2XI+3X2<14,2XI+X<9,2XI,x>0,DXi᦮ᦪ2n᪗pᦪᨬ2Xî=3,xî=2.6667,z=14.3334஺c.maxZ=7XI+9X2+3X3s.t.-X|+3X2+X3<7,7XI4-X+3X3<38,2X|,X,X>0,DXi᦮ᦪX30-1C஺23n᪗pᦪᨬ2xî=5,xî=3,xî=0,z*=62஺2.2ïKðᑮ»ḄqiòóᱥḄÃᦪi=l,2,3,4,5஺ᑣêðõḄóᱥJØᨬᜧKn᪗pᦪḄᦪÁ¬Rᑏ2maxZ=5XI+10X2+15X3+18X4+25X5s.t.20x1+5x2+1OX3+12x4+25X5<400000,x1+2x2+3x34-4x4+5X5<50000,X|+4X<1000040.1XI+0.2X2+0.4X3+0.1X+0.2X5<750,4Xi>0,D᦮ᦪ,i=l,2,3,4,5஺n᪗pᦪᨬ2xî=0,xî=0,xî=0,xî=2500,xî=2500,z*=107500.3.2ïqi⚗øÚi=l,2,3,4,5,D0-1CNVùxqi⚗øÚ¤⌱ù
Xi=[0,qi⚗øÚ-¤⌱ù
஺᪷ûùᩩÃýþÿ
ᦈᐭᨬᜧḄ᪗ᦪḄᦪmaxz=20x1+40x2+20x3+15x4+30x5s.t.5XI+4X2+3X3+7X4+8X5<25,xτ+7X2+9X3+4X4+6X5<25,8xi+lOX2+2X3+X4+1OX5<25,Xi0—1i=l,2,3,4,5o᪗ᦪᨬx=1,x=1,X=Lx=1,X=0,z=95

294.ᔠ᦮ᦪᑜ⚪"#ஹX2ஹX3ᑖ&ᑭᵨAஹBஹC"ᜓ*+Ḅ+,Ḅ-ᦪ*+.ᜓ/0ᨵᙠᑭᵨ3"ᜓ45ᢗᐭ789:;/ᵨḄឋ="Tᦑᐸ᪗ᦪminz=lOOy]+300y2+200y3+7x]+2x2+5x37@ABᨵᢗᐭ*+.ᜓ/Cᵨ3"ᜓ*+DEFGHḄIJᩩ-MᐙᑖᜧḄᦪ஺Xj0,N᦮ᦪyi,y2,y30-1஺b23᪗ᦪᨬX,=0,x=625,x=1375,yi=0,y=l,y3=Lz*=86252c.3᪗ᦪḄᦪminz=100y+300y2+200y3+7xi+2x2+5x31s.t.X]+X2+X3=2000,0.5XI+1.8X+1.0X<2800,23

30xi<800,X<1200,2X<1400,3x)0,N᦮ᦪyi,y2,y30-1஺23᪗ᦪᨬx=0,x=1000,x=1000,yi=0,y=l,y=l,z*=750023d.3᪗ᦪḄᦪminz=1OOyτ+300y2+200y3+7x1+2xz+5x3s.t.X|+X+X3=2000,2X1<800,X<1200,2X<1400,3Xj0,N᦮ᦪyi,y2,y30-1஺23᪗ᦪᨬX|*=0,X*=1200,X*=8OO,=0,y=l,y=l,z*=690023yi235."XijQDiᙢSTRiᙢḄSUi=l,2,3,4,j=l,2,3ᑖ&V⊤QᓅYஹZ[ஹ\]ஹ^_ST`ᓅஹ`aஹ`ᓭḄcᱥ-ᦪe;fiᙢg⌱"ijYi=[o,fiᙢBg⌱"ij஺3᪗ᦪḄᦪminz=45000y)+50000y2+70000y3+40000y4+200xn+400x12+500x13+300x21+250x22+400x23+600x31+350x32+300x33+350x41+150x42+350x43s.t.X11+X21+X31+X41=5OO,x12+X22+X32+X42=800,Xl3+X23+X33+X43=700,X]i+X]2+xi3(1000yi,X2]+X22+X23W1000y2,X3i+X32+X33<1000y3x1+X42+X43W1OOOy%4O2k4,yi+y2+y3+y4<2,y3+y4ீi,Xij>0,N᦮ᦪyi04,i=l,2,3,4஺᪗ᦪᨬx*|=500,x2=0,X3=500,X]=0,X^=0,x3=0,x'=0,=0,=0,2x=0,X2=800,X3=200,y+1,y=0,y=0,y=l,z*=625000234

31nC8ᙠᓅYo^_pijᓅYᔣ`ᓅo`ᓭᔜsc500-^_ᔣ`asc800-ᔣ`ᓭsc200-Cxyz⌕|ᓽCᨬ஺fᢣiᡂj⚗46.ᐭ0-1Xij,ekXu-஺'fᢣiᡂj⚗4஺a.
ὑ4ᨬḄ᪗ᦪḄᦪ:minz=20x)i+l9xi2+20xi3+28x)4+18x21+24x22+27X23+2OX24+26X31+16x32+15x33+18x34+17x4i+20X42+24X43+19X44S.t.X||+X|2+X1+X14=1,3X21+X22+X23+X24=l,X3i+X32+X33+X34=l,X4l+X42+X43+X44=l,Xn+X21+X3l+X4l=l,X12+X22+X32+X42=l,X13+X23+X33+X43=l,X14+X24+X34+X44T,Xij0-1,i=l,2,3,4,j=l,2,3,4᪗ᦪᨬX”=0,X[2=l,X]3=0,X]4=0,x?|=1,X22=0,x"=0,x”=0,X3]=0,X32=0,X33T,x4j=0,X42=0**43=0,=1,z=71ᡈX]=0,X12-1,X13=0,X]4=0,X?]=0,X22=0,X?3=0,X24=1,X?]=0,X32=0,X33=1,X34=0,X|=l,X2=0,X3=0,x[=0,z>=71ᓽ°᣸ᵬ³B⚗µ³A⚗·³C⚗¹³D⚗ᡈὅ°᣸ᵬ³B⚗µ³D⚗·³C⚗¹³A⚗ᨬ471ᑖ¼஺n½ᵨ¾ᳮSÀ2.5Á-Ḅ᦮ᦪᑜaḄᢣ⚪ÂÃÄÅÆ|Ç஺b.
ᦈÉᨬᜧḄ᪗ᦪḄᦪÊaaḄ᪗ᦪᦋ|ᨬᜧÌᓽ½஺᪗ᦪᨬX”=0,X]?=0,X]3=°X]4=l,X"=0,X[2=1,*23=°,=0,X31=1,=0,*33=0,X^=0,x]=0,x2=0,x3=l,x4=0,z*=102ᓽ°᣸ᵬ³D⚗µ³C⚗·³A⚗¹³B⚗ᨬᜧᦈÉ102oc.ᵫÒÓᡃÕᎷ"ᨵ×سᔜ⚗ᡠ◤Ḅ4ᙳ0,3⚪C°᣸5³5⚗ÜḄḄ⚪7ᐸ᪗ᦪḄᦪminz=20xu+l9xi2+20xi3+28xi4+17xi5+18x2i+24x22+27x23+20x24+20x25+26x3i+16x32+15x33+18x34+15x35+17x41+2()x42+24x43+19x44+16x45X||+X|+X13+X14+X|5=l,2X2|+X2+X23+X24+X25=l,2X31+X32+X33+X34+X35T,X1+X42+X43+X44+X45=1,4Xj|+X52+X53+X54+X55=1,

32X||+X2|+X31+X4|+X|=1,5X12+X22+X32+X42+X52=1,x13+X23+X33+X43+X53=LX14+X24+X34+X44+X54=1,X15+X25+X35+X45+X55=LX]0-1i=l,2,3,4,5,j=l,2,3,4,50᪗ᦪᨬx,=0,x2=l,x3=0,x4=0,x5=0,x1=l,x2=0,x=0,x]=0,x5=0,x,=0,x2=0,3X.33=l,X34=0,X35H),X^1=0,Xà2=0,X43H),—0,X45=1,z=68ᓽ°᣸ᵬ³B⚗µ³A⚗·³C⚗¹³E⚗ᨬ468ᑖ¼஺d.3⚪ÓäåḄ⚪ᐸ᪗ᦪḄᦪminz=20xu+l9XI2+20XI3+28XH+18x21+24x22+27x23+20x24+26x31+16x32+15x33+18x34+17x41+20X42+24X43+19X44+16X51+17X52+20X53+21X54S.t.X1|+X|2+X13+X|4<1,X2I+X22+X23+X2441,X31+X32+X33+X3441,X41+X42+X43+X4441,X51+X52+X53+X54R,X"+X21+X3|+X41+X5|=l,X12+X22+X32+X42+X52=LX13+X23+X33+X43+X53=1,X14+X24+X34+X44+X54=1,Xij0-1,i=l,2,3,4,j=l,2,3,4,5஺᪗ᦪᨬX[]=0,X]?=0,X]3=0,X]4=0,=0,X22=0,X?3=0,X?4=1,X3[=0,X32=0,*33=],X34=0,=1,*42=0,*43=0,Xy=0,X5|=0,x$2=l,=0,=0,z=69ᡈX|]=0,X]2=0,X[3=0,X]4=0,í2|=1,*22=0,X23=0,X?4=0,=0,X37*33=1,=0,X1=0,x2=0,x3=0,X2=1,x,=0,x2=l,x3=0,x=0,z*=694ᡈx|=0,x2=l,x3=0,x4=0,x|=0,x2=0,x=0,x4=0,x=0,x2=0,x3=l,x=0,314x1=0,x*=0,x3=0,x^=l,x,=l,x2=0,x3=0,x4=0,z*=692ᓽ°᣸µ³D⚗·³C⚗¹³A⚗׳B⚗ᡈ°᣸µ³A⚗·³C⚗¹³D⚗׳B⚗ᡈ°᣸ᵬ³B⚗·³C⚗¹³D⚗׳A⚗ᨬ469ᑖ¼஺7."îïðᶇò4Ḅóᜫaᐗᑣðᶇ÷ò4óᜫ4aᐗðᶇ3ò4óᜫ9aᐗøùúûüAஹBஹCýþÿ
Ḅᢣ⚪Ḅᦔ᳛▣ᑖ᝞⊤ᡠ

33A᪥1011021031041051064a9a64a169a225a107361a400a625a36a64a108225a256a441a4a16a109484a529a16a81a121a110196a225a400a625a9aᨬ:1011021031041051060100010700010108000011090010011010000B101102103104105101256a529a9a625a36a102225a484a4a576a25a103100a289a441a361a576a11364a225a361a289a484a114256a529a9a625a36aᨬ:!1011021031041051060010010710000108010001090001011000001ᡈ:

34#1011021031041051060000110710000108010001090001011000100c10911011311410449a225a225a49a10525a169a169a25a111169a441a441a169a11264a256a256a64aᨬ:ᐭ1091101131141040100105001011110001120001ᡈ:1091101131141040010105010011110001120001

35ᡈ:1091101131141040100105001011100011121000ᡈ:109110113114104001010501001110001112100()

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~'᪗)ᑜ=<஺gaSஹABiᵨShᵬ4345]2530├MNOSḄ⚜TᑭV(ᐗ86100/)├MQRSḄ⚜TᑭV(ᐗ5550/)_ᔆ81A12᳝C81B12஽஺ᢥ᯿81⌕0,«=1,2¦§ᳮ©ª«¬<᳝=11.25,஽=஺C4=0,d=10,d=625,1=0ᵫ®¯ᡈ6°±²³idC´⚪ᙠ<µ¶·⌕<᦮ᦪḄº»C¼½ᨵ¿À~Á,ÂÃa(l35/14,15/7)+(1-a)(45/4,0),a€[0,1]eḄÊ°Ë஺2.:_Ì2ᔆᖪᙠᵯÏeÐÑÒÓÔxCᙠÕÖeÐÑÒÓ2xCᙠÒ×ØÐÑÒÓÙx஺'᪗)ᑜ:

37minὡÛÜ+ᨴÞ+ßd+/d\<10x<202â41520%+10x+5X-d(+d(=400230.7%1—0.3%2-஺.33-d+4=0-0.2ä-0.2.+0.83—d(4-dy=02.5%1+0.5^2+0.3%3—d(+d4-20%,å2C%3,4+C4->0,/=1,2,3,4ᵨ§ᳮ©ª«¬ᐜ<æ⚪mind(x<10}x<202âV1520x+10x+5/-d+d(=400t2'0.7ê-O.3X-O&3-d+d=02—0.2Xj—0.2%2+0.813—d(+dy—02.5x+0.5X+0.3.-d+d=2012xx,x,Jf,J,">0,z=1,2,3,4p23dó=0,ôᐸõö÷ᩩ<æ⚪:mind~%,<10X<202ù41520%+10x+5X-d+4=40023<0.7%—0.3%-஺.3ᑍ3—d+d2=0—0.2X1-0.2%2+0.83—d(+4=02.5X1+0.5%2+0.3å3—d+d—20dûü0xஹ,X2&X3&d,d*>0,i=1,2,3,4ᨬýd=0,ôᐸõö÷ᩩ²³æ⚪:

38mind(%1<10x<202X<15320%1+10x+5X-d+d*=400230.7ᧅ-0.3%2~■஺.3ᑍ3—d+4=0—0.2xj—0.2%2+OS/—d(+43=02.5᳝+0.5X+0.3ÿ3-d+d=202d(=0d]=0%23,4+4N0,/=1,2,3,4ᨬd=0,ᐸᩩ⚪mindX,<10x<202x<15320X1+10x+5X-d(+d(=400230.7X1—O.3%2—0.3xj—+dr,=0«—0.2X]—0.2^2+O.8X3—d(+dy=02.5X]+0.5஽+0.3xj—d+-20d(=0d~=04=0x,x,x,d^,d^>Q,i-1,2,3,4l23+X]=9.474,x—20,x=2.105,J,=0,dy=0,d=0,d-023d(=0,d=4.211,d=14.316,=0ᡠ"#$ᔆᖪ'()*ᑮ4,-./᪗◤ᙠᵯ4567899.474):;5678920)8<=67892.105)஺(@ᵨBᳮDEFG2.5HI)JK5⚪)3.K(1)MNᓄPᔆQR᳝ᓣUᔠᑺAXᓣUᔠᑺB஺ᑣ᪷[Pᔆ⌕J]^"/᪗_ᑜab:

39minPஹ
d(+dh++4h+ijkh-x,+—x-<+<=803,122-113112■〈2+d2=10஺-x,-J+0,i=1,2,3,4,5l23lyKzJK᝞y1/᪗1,2H"*ᑮ/᪗3*|ᑮᡠ"ᨵ~KAj150,120h஺4.KMNᔆ*ᑮ/᪗⌕JQRR$A᳝QRR$B/஺j1h/᪗_ᑜabminqjd+dh+g®hIxH—%2-d+460j66'<-Xj+—X-6?2+^2=180736-4%+3%+ᡭ=1300X1,x2,X3&d(,d(>0,z=1,2,3

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41min-h+£j᳘h300᳝+500X-d+4-=1500002<30I+dOx2-d+ᔩ=10000x,x,dl',d7>0,i=1,2l2jyKzᶍJK=0,X=300,d(=0,d=0,d=0,d=20002
/᪗_ᑜabmin<d
+6j4-
300%+500%-d+d(=l50000<30þ+40x-J+J=100002x,x,d^,d[>0,i=1,2l2yKzᶍJKx,=0,x=250,4-=25000,d~=0,<=0,d=02ᵫÿ
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300x,+500X—d+d*=1500002<30±+40஽-/+ᡭ=10000x,x,d^,d7>0,z=1,2t2!"=0,%2=300,&-=0,d(=0,d=0,d#=2000

42$10%&᝱ᑜ1.ᨬ+A—B2—C|—Di—E#A—Bj-C)—D,—E#A—Bj—C2—D2—Eᨬ+8132.ᨬ+⚗A300<ᐗஹ⚗B0<ᐗஹ⚗C100<ᐗஹᨬ+8z=71+49+70=190<ᐗ3.CDEᨴḄGHIJ(i=l>2ஹ3ஹ4),ᨬ+X|=4,X2=0,X3=4,X4=3஺ᓽ$PEᨴQG4IJ$REᨴQG0J$SEᨴQG4IJ$TEᨴQG3IJ஺ᨬ+8z=252000ᐗ4.ᨬ+V〈$PXGY5Zᨬ+8z=500ᐗ஺5.ᨬᜧᑭ]2790<ᐗ஺ᨬ+^᣸᝞a⊤:dedfghCᜓjk₹mnCᜓᦪpk₹mnCᜓᦪ11250125210001003800804646405323206.ᨬ+(0,200,300,100)ᡈ(200,100,200,100)ᡈὅ(100,100,300,100)ᡈ(200,200,0,200)஺uᑭ]ᨬᜧvwx134<஺7.ᙠPz{3Eᑖ}ᙠRz{2Eᑖ}ᙠSz{~ᑖ}஺ᨬᜧuᑭ]32஺8.ᨬ+$Pdᵨ$Rdᵨ$Sd$Tdᵨ$dᵨuᡂ=450000ᐗ஺

439.ᨬ+ᶍ$PஹRஹSᕜᧇ500ᐗᑣ~ᓽCᜓᔲᑣᙠḄᕜᑁ஺$Tᕜᧇ500ᐗᡈ550ᐗᑣ~ᓽCᜓᔲᑣ$ᕜ஺$ᕜ¡¢£஺¤¥Ḅ517ᐗ஺10.ᨬ+$PᢇᢗG3J᝞ᔠY$RᢇᢗG3J᝞©ᐰ«ᔠ$SᢇᢗG4J஺uẆᑴ®ᵨᨬ¯796ᐗ஺11.:ᨴ°H±├ᦪH19002002900900390090040900ᨬᜧᑭ]13500஺12.#ᨬ+ᶍ(1,2,3)ᡈὅ(2,1,3),ᓽ³ᔆµ¶6ᝅCᜓᑖ¸ᑖ¹SEᔆ1,2,3ᝅᡈὅ2,1,3ᝅ஺Ddᑭ]ᨬᜧ18<ᐗ஺

44$11%º»¼1.½Eᨬ¾¿À⚪⌕!ᡃÄ!ÅÆᓃᑮᓃÉ〈Ḅᨬ¾ÊË஺ᵨDijkstraÌÍ!ᑮ½À⚪Ḅ27஺ᡃÄÎᵨÏÐ▬ÒḄÓᳮVÕÖ×ZØÙÚÌÅᨬÛÚÌÅᨬÛÆ⁚Ý1ᑮ⁚Ý7Ḅᨬ¾¿ÞÝÛÝÊË124231235657527஺ᓽÉ〈¿ßᓃàᓃfᓃ—%Pᓃ஺2.½PEᨬ¾¿ḄÀ⚪ᵨDijkstraÌÍ!ᑮ½À⚪Ḅ4.8,ᓽᙠ4dᑁãஹᣚåVÙæçᨬ¯Ḅu®ᵨ4.8<ᐗ஺ᨬ+ᶍ$Pdè$Rdè$Sdè$TdèᜐᳮêᘤᡃÄÎᵨÏÐ▬ÒḄÓᳮVÕÖ×ZØÙ!ÎÅÏÀ⚪Ḅ4.8஺3.Ï⚪PE!ᨬ¯Qᡂ᪛ḄÀ⚪᪷î⚪ïðñ⌕!ÅòóᓃᑮÎḄᨬ¯Qᡂ᪛ᨬ¯Qᡂ᪛᝞ôÞÝÛÝÊË13234212425257378276318஺

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%M7.8.3.6(1)%5jᙠNᑴDᨵ┯"#$R;ST%5ᩭVWᓃY.ᨵ7;Z[\]Ḅ%5஺(2)%5^_`abc"ᙠdYef$';ST%5VWbc஺(3)%5ᓃஹᔩஹᓃYjfkᙠalᔠnA஺4.6b2

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51c.0*{1◞31#——»32.08&89:(7.79d.<*{ᡠ◤31#250*2309.4x1925&89:(30000e.ᨬᜧ?@#&1-4(஺ஹ923.76&ᝅ(Pf,{?@Ḅᐰ=Aᡂ#20^24941.53&ᐗ(2pQg.ᵫ{¢ᜓ◤⌕10ᜩ◤⌕ᶇᨵ10ᜩḄᦑ!"#18000x10=720&ᝅ(250&NᵨOᳮPQRS'TUVᑮX᪵ḄZ[஺(5.Pᵨ]^{ᢇb4Tw2DCx30000x1000a.ᨬ]^{ᢇ=33¦0+,-2344.04&'(&1-¤¥(x130x21%50000b.<={*ᦪ#3°°0°஺12.8&*(2344.04c.0*{1◞31#>“19.53&89:(12.8d.<*{ᡠ◤31#t§¨3஺11.72&89:(50000e.ᨬᜧ?@#&1-%(஺=937.62&'(Pf.{?@Ḅᐰ=Aᡂ#TC=1&125596.88&ᐗ(2pQg.ᵫ{¢ᜓ◤⌕5ᜩ◤⌕ᶇᨵ5ᜩḄᦑ!"#ª8600&'(&NᵨOᳮPQRS'TUVᑮX᪵ḄZ[஺(6.Pᵨᐕ¬Ḅ]^_`ᢇb4,TUVᑮ___________a.ᨬᢇQ*="3஺+2/2X4800X350
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527.Pᵨᐕ¬Ḅ]^{ᢇb4Twa.ᨬ]^{ᢇ஺"=ÐᧅP=?x30ÓF000&27.3=3239.52&'(Ô஺”2Õ0-5000023x302£>q&l--(2x30000x27.3x1000x&l-3&(&(&(&((ClP____________________50000b.ᨬᜧS*==617.37&'(,c2&q+c2(]30x&27.3+30(¯᜜ᵫ◤⌕5ᜩᩭ¢ᜓ{⌕ᶇᨵ5ᜩḄᓽᙠ³⚪5ᡠµ§Ḅ600'ᦑ!{"#-617.37+600=-17.37&'({*ᦪ#”=9.26&*(,c.3239.52ᦑ0*Ḅ1◞31#25Û0«27&89:(9.262£(C|C2c3&1-4(d.<={¢ᜓஹ?@>ḄABᵨTC=[-----------ᓃB18521.25&ᐗ(+஺22e.ºᯠᙠᐕ¬Ḅ¼½àA¿Bᨬ஺#ᙠᐕ¬3ÀÁTUᑭᵨÃÄÅÆᩩ'ÈÉÊBËÉÊ?@B{¢ᜓB̦TUᙠABᵨsᨵᡠ⁚ḕ஺&NᵨOᳮPQRS'TUVᑮX᪵ḄZ[஺(8.Pᵨ]^ᢇᢚᡷb4ãw᪷å_`ᦪæXᨵçèæXḄ~é஺ᡃëTUµVÃçè¼½Ḅᨬ᝞à:y஺#0—99î3ᨵ/2DC/2X2000X30034\c(~V360x20%~&Ä(;y஺#100—199î3ᨵ»pDq/2X2000X306ñ—Vc,"~V320x20%®137&Ä(;y஺#200—299î3ᨵ*=I2DC,_12x2000x306ó7cF”—V300x20%*141&Ä(;y஺ᜧ300î3ᨵl2Dc,2x2000x30532—Vc,""_V280x20%a146&Ä(஺TUôõᑮᙠvè¼½ᡃëᵨᙠ0T93Ḅ~é360ᐗ/îö÷§Ḅᨬᢇ஺¤ᓾᜧ99Ä#129Ä஺#ùVᑮ360ᐗ/îḄ~éúNVû▭ᢇᨬýþö÷ᡠVḄᨬᢇQ(ᡃëÿ᦮ᐸᨬᢇQ(Ḅ஺=99஺᪵ᡃ᦮ᨬᢇ஺;QḄ=200஺=300஺$%&'஺J=990*=137஺3*=200஺4*=300-Ḅ./Ḅ01ᵨ᝞4⊤ᡠ7

53ᢚᡷ:;<=>ᓫ@ᨬᢇ./1ᵨ஺*AB11D101ᵨDDCC13609935646060.606720000729624.6232013743844379.562640000648763.6330020060003000600000609000428030084002000560000570400ᵫF⊤$GᨬHᡂJḄᢇK஺*=300L-M1Ḅ0ᡂJTC=Q*q+ᑶC3+஺*=570400OᐗQR.SḄK500ᑣL-Ḅ0ᡂJrC=gQC[+&C3+£>•c=575200OᐗQU-⌕WXYᨬHᡂJ-ZM14800ᐗ஺O[ᵨ\ᳮ^_`ab$%ᑮ᪵Ḅde஺Q9.a.ᙠgᐕij-^ᵨklᢇmn$GL-ḄᨬHᡂJKTC=-Q'c,+-^c,®848.53OᐗQ2Qᙠᐕij-^ᵨᐕijḄklᢇmn$GL-ḄᨬHᡂJKQ*-S*
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54ᦑ§¨g©XYᐕijḄ|}஺10.^ᵨ◤&K«¬ḄᓫᕜḄABmnk16¯Gk=16,h=22,ᨵ----=------³0.4211k+h16+2210Q=\\-ᨵZp(d)=P(8)+p(9)+p(10)=0.33,(1=011Zp(d)=p(8)+p(9)+p(10)+p(l1)=0.53஺d=010LHL-~£^p(d)<—஺"Q=1-0.52=0.48஺O[ᵨ\ᳮ^_`ab$%ᑮ᪵Ḅde஺Q12.a.^ᵨ◤&K«¬ḄᓫᕜḄABmnk\7¯Gk=1.7,/?=1.8,ᨵ----=—:—=0.49,k+h1.7+1.8ᦑᨵPOdWQ*Q=±-=0.49,k+hÌ◤&åuO600,1000QFḄᙳᒴᑖᓽ$çnè=0.49,ᦑ஺*=7961000-600éb.ᖪêjḄᭆ᳛ÝPOd>2*Q=1-049=0.51஺O[ᵨ\ᳮ^_`ab$%ᑮ᪵Ḅde஺Q13.^ᵨ◤&K«¬ëḄÄᢇஹmn஺✌ᐜᢥ᯿klᢇ᠒nᩭ&Ùᨬᢇ஺*,¯G./Ḅᙳ◤&ó=450X12=5400OôõöQ÷=175ᐗ/ôõö/஺3=1800ᐗ,஺*=#^஽333.3OôõöQ஺ᵫ./Ḅᙳ◤&K5400ôõö$G./ᙳÚ=16.2OSQ஺333.3᪷Ḅ⌕&POᨴḄ◤&WrQ=l-0.05=0.95,ᐸrK஺ᵫ◤&᝱ᑖNO450,70Q,FᓽKজOú¡Q=0.95஺᪗᝱ᑖ⊤ᓽÐС=1.645,ᦑ11.645b+/u1.645X70+4504565OôõöQ஺a

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59ᵫxx=V•X,.!#Gx(=0.0032,ý=0.44,ÿ=0.4864,x=0.0704ᡠAḄᨬᶍ0.0032Ḅᭆ᳛ᶍ%0.44Ḅᭆ᳛ᶍ,0.4864Ḅᭆ᳛ᶍ,0.0704Ḅᭆ᳛ᶍᙳ"#$%&Ḅ'ᑖᦪ*1.6஺-.BḄᨬᶍḄ0ឋ2ᑜ45*max%+%+%+%39+4y3-2*413y441,4%-2%+3y3+5*41-5%-%+8ᙳ+7%41ᵨ>ᳮ@ABCD-Ey=0.142,%=0233,%=0.18,%=0072ᵫG=M+%+%+%Eu=L6vᵫy=L.xMEN=0.2272,y=0.3728,%=0.2880,yO=0.1152ᡠBḄᨬᶍ0.2272Ḅᭆ᳛ᶍ4,0.3728Ḅᭆ᳛ᶍᵨ0.2880Ḅᭆ᳛ᶍᵨ3,0.1152Ḅᭆ᳛ᶍPᙳQ"#$%&Ḅ'ᑖᦪ*1.6oSᵨ“>ᳮ@AB2.5CD”MVWXY▣[\-E]^_ᫀabcdefgᵫhijkfᡠl஺[nᨬo᝞b:jstuᵬX*=(0,.443,.489,.069)T!jstu~Y*=(.227,.371,.288,.ll4)T!n*1.576;4.oᵬஹ~Ḅ@Ꮙ&⚗tḄ⚗ḄᶍᔜᨵcO=3ᑖ*:——&100≈100Oa,——&10°≈10஺O2%A——&loolooO

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610ஹAAAA&6424o4a2624202cz0-264443%-402622«5000-26400-4026¼½¾¿nᏔḄ0ឋ2ᑜ45Áᵨ>ᳮ@ABCD-oE:minX]+%+X3+/+Ã5+x66Ä+2X-4X>1244Æ+6X-2X>123+2X+6X+2X-4X>12346±²:+4X+4X+6X-2X>123452X+4X+2X+6X+2X>1234564%+4X+2X+4X+6X>13456>0,z=ᵫ>ᳮ@ABCD-oE:᳝=0.13,X,=0.109,Ã3=0.087,x=0,x=0.072,x=0456ᵫG=X]+஽+X3+4+Ê5+/Eu=2.5126vᵫXO=V•MMEx(=0.3266,Í=0.2739,xO=0.2186,xO=0,xO=0.1809,x'=06ᡠ±²Ḅᨬn0.3266Ḅᭆ᳛᜜0.2739Ḅᭆ᳛a2,0.2186Ḅᭆ᳛%0.1809Ḅᭆ᳛஺min9+%+%+N+%+06Ï|+4%+2%+4%+4%412%+6y2+2%+4%+2*41¹2Ï2+6%+4%+4>-+4y<156ᵪ´:'-4Ï1+2%+6y4+2”+2y<16-2y+6y+4y<1456-4y+2y+6y0,/=l,2,...,6ᵫ>ᳮ@ABCD-oE:M=0.109,%=0.051,%=0.072,y=0,y=0.167,y=0456

62ᵫ¹=x+%+>3+>4+%+>6EV=2-5063ÒÓ]☢2.5126ÕÖᵫijkf×vlÏ஺ᵫMEX=0.2732,yO=0.1278,yO=0.1805,yO=0,yO=0.4185,yO=0ᡠᵪ´Ḅᨬn0.2732Ḅᭆ᳛Ø0.1278Ḅᭆ᳛P01805Ḅᭆ᳛ᨴ0.4185Ḅᭆ᳛Æ஺Sᵨ“>ᳮ@ABCD2.5”MVWXY▣[\-E]^Ú⚪_ᫀdefgᵫhijkfᡠl஺34XXXXXXXXXXXXXXXXXXXXXXXXX567ᵬ9XX=(-331,.271,.218,0,.18,0)T567:Yx=(-271,.128,.18,0,.421,0)T;<=>92.519

63Ü16ÝÞᑖ᪆1.oàáᦈX⊤*:N1N2N3N4S,1580-6S414832S3141012Ò1ÏS2æᫀᨬ஺Ò2ÏSiæᫀᨬ஺Ò3ÏS2æᫀᨬ஺Ò4ÏS2æᫀᨬ஺Ò5ÏQ៎Y▣*:à\êáᦈஹ᝱N,NNNmax஺2341?@?4JS,06101818s1102911(min)2S141000143ᦑS2æᫀᨬ஺2.oÒ1Ï☢ᒹîïÚ⚪ḄᦈXY▣*;N|=S5=360,N2=S4=300,N3=S3=240,N=S=180,N=S,=120425

64àáᦈX\ðN.NNNN2345S18484848484s126126126126602S316816816810236s21021014478124S25218612054-125(2)ᵨᨬᜧᨬòᑣEᨬæᫀ*S”ᵨᨬᜧᨬᜧòᑣEᨬæᫀ*S,5ᵨQ៎óôQ៎Y▣*à\◤áᦈNiNNsNNmaxaO,2451

65(1)ᵨS1⊤S2⊤ᑣ⚪Ḅᦈ▣:!\#$'ᯠ'(NN2Si15001500s75037502(2)Eম)=1500X0.8+1500X0.2=1500ᐗE(S)=750X0.8+3750X0.2=13507G2S2ᨬ9:ᫀ஺(3)E(SD=1500E(S)=750P+3750(1-P)=3750-3000P2@E(S,)=E(S)BP=0.752C@P>0.75BSiᨬ9:ᫀ@P<0.75BS2ᨬ9:ᫀ஺5.FGᵫH☢ḄᦪKLMNO᪛Q᝞S.:6.FGUVSi⊤ᢗXYZ[\S2⊤]^_`஺(1)E(S1)=50000X0.2X0.96-50000X0.04=7600E(S)=50000X0.06X1=30002cde⍝*h9ᓽ⌱ᢗXYZ[\ᓽ@ᡃlmnᐰpqᵨrstuᑣᩭNO

66BS1wᨬ9`x:ᫀᦑEVw°PI=7600ᐗ(2)EVPI=50000x0.2x0.96+50000x0.06x0.04=9720ᐗwEVPI=EVPI-EVPI=9720-7600=2120ᐗWWO(3)ᵨL⊤!$YZL⊤!$YZM⊤YZ⊤YZ஺P(L)ஹP(1)ஹḄtᙳ◤⌕2ᵫ⚪eP(2)=0.9᳤%)=0P%)=0.4,P(%)=0.6,P(Ni)=0.96,P(N)=0.04o2p(/J=P(Nஹ)P(%)+PlNJPi%1)=0.96x0.9+0.04x0.4=0.88,P«2)=P(N2)P(%)+P(N])P(%)=0.04X0.6+0.96x0.1=0.12,ᵫ!ᡃl:(2/)=᝕=*=0.9818P(NWஹ)=℉1=”⃬=0.0182,P(Njk)=3»=I=஺8,Pg"?)'ᯠ¡="=02஺@¢£YZBGE(SP=8908ᐗE(S)=3000ᐗ2ᦑ¤¥¦§⌱¨:ᫀ$@¢£YZB:E(S,)=-2000ᐗ,E(S)=3000ᐗ2ᦑ¤¥¦§⌱¨:ᫀS2ª@!$¢£YZBḄᭆ᳛P(I,)=0.88,YZḄᭆ᳛P(12)=0.12,ᦑGE(¢)=8199.04ᐗ@!$«ᡲ!$`®¯¢£ᓽᐹᨵ᪵³pqB,!$Ḅrsᦈ´8199.04ᐗ,c`®¯¢£!$ᦈ7600ᐗµᦑᐸEVSI=8199.04-7600=599.04ᐗ᪵³pqᦔ᳛=◤x100%=28.27%ª599.04<800,ᡠ¹º»'ᵨ800ᐗwtḄ஺

677.F:(I)ᐜᔜᦔᵨt1)U(80)=PU(100)+(1-P)U(-10)=0.9(10)+0.1(0)=9,2)U(60)=PU(100)+(1-P)U(-10)=0.8(l0)+0.1(0)=8,3)U(10)=PU(100)+(1-P)U(-10)=0.25(10)+0.75(0)=2.5,ᦑᐸᦔᵨ▣:ᭆஹᯠN.NN23P(N.)=0.2P(N)=0.5P(N)=0.323SiÀÁᙠ᡽ᜧÅ1090SzÀÇÈ᡽ᜧÅ982.5(2)E(Si)=0.2X100+0.5X80+0.3X(-10)=57,E(S)=80X0.2+60X0.5+10X0.3=49,2ᦑᢥÊ▭ÌᑭrstÎÏVḄᨬ9:ᫀSi஺E[U(5)]=0.2x10+0.5x9+0.3x0=6.5,)E[U(S2)]=0.2X9+0.5*8+0.3x2.5=6.55,ªE[U(SJ]

68Ó17Ô⚜Ö1.F:85+100+105(I)n=3BÓ13ØᨴḄ├ÛÜ»96.7Þ3100+85+100+105n=4B,Ó13ØᨴḄ├ÛÜa97.54(2)à᝞á⊤ᡠ:ᨴâ├ÛÜa=0.3BḄ⚜Öta=0.5BḄ⚜Öt1105213510510531151141204100114.3117.5595110.01108.756120105.507101.8757140109.8549110.93758135118.8984125.46889100123.7289130.23441085116.6102115.117211100107.1272100.058612105104.989100.029313104.9923102.51462.FG124(1)n=3,cã1G2G4BÓ11ᕜḄåἠçèx9.7d—x9.64—x9.4=9.5Þ777135(2)n=3,cã1G3G5BÓ11ᕜḄåἠçèx9.7+2x9.6+ëx9.4=9.5஺999(3)ᵫaஹbḄà¹íMîØàïð஺3.FG(1)├Ûpñ᝞áQᡠ:

69ᵫòQ¹íMBóôᑡᨵèVḄöឋøù஺(2)úöឋ:ûT,=ü+ý`᝞áGtÿt2120201224.5494328.284.69427.511016526.613325630180367312174983628864935.2316.8811037.4374100ᔠ55296.41772.4385_=1772.4-(55x296.4)/10=1=_Z_(Zf)2/஻385-552/1017'b=Y-bJ=20.18,0ᦑᡠ!"7#=20.18+1.72f஺t=ll()7#=20.18+1.72x11=39.1,ᓽ+11,Ḅ├/0"39.112஺4.34(1)᪷6├/ᦪ6)89:;<=:

70ᵫ=8@;)├0ᨵB"CDḄEᓣGHIJ⁚LM஺(2)᪷6├/ᦪ6)89:;<⊤4JO├/0PQJORSTᙳWXRSTᙳVJ⁚YZ[ᑣ]V^Ḅᢣ᪗V116502900325801897.51916.251.346384246019351927.51.2762651180019201953.750.92130528401987.51967.50.426938328501947.51953.751.45873342300196019851.158691185020102013.750.918684210402017.520500.507317328802082.5425601.34638+1.458733de,abᢣ᪗VWḄZ[ᑣ]^)+cJOḄJ⁚ᢣᦪ"---------------------------21.40,fᳮ28h+iஹkஹPJOḄJ⁚ᢣᦪ"0.92,0.47,1.22olmn᦮p)PQJOḄJ⁚ᢣᦪqr"0.92,0.47,1.39,1.22,(3)ᙠ(tuᑡWaᣵJ⁚]^)8h<⊤:JO├/0J⁚ᢣᦪx◀J⁚]^Ḅ├0116500.92179329000.471915325801.391856424601.222016118000.92195728400.471787328501.392050

71423001.221885118500.922011210400.472213328801.392072425601.222098zᵨx◀J⁚]^pḄ(tuᑡ|}(tuᑡḄGH)89hᑮ!":T,=1805+25.5r஺ᙠ+P,+PQJO)f=16,ᦑ7#=1805+25.5x16=2213஺+PJOḄJ⁚ᢣᦪ1.22,ᦑ⚜V"2213x1.22=2699.9஺5.34(I)᪷6├/ᦪ6)89:;<=4ᵫE=89@;)├0ᨵCDḄEᓣGHIJ⁚LM஺(2)᪷6├/ᦪ6)89:;<⊤4JO├/0PQJORSTᙳWXRSTᙳVJ⁚YZ[ᑣ]V^Ḅᢣ᪗V162153108.759.251.08108449.7510.1250.3950611010.511.1250.8988821811.7512.1251.4845431512.5131.153854713.514.50.4827611415.516.50.8484822617.518.1251.4344832318.7519.3751.18714122020.250.5925911920.520.750.915662282121.751.28736

7232522.522.8751.092941823.25240.7512224.7525.1250.8756223425.525.8751.3140132826.2526.51.056642126.75270.7777812427.2527.50.8727323627.7527.6251.3031733027.5281.0714342028.5290.6896612829.530.1250.9294624030.7531.6251.2648233532.5427aᣵᢣ᪗VWḄZ[ᑣ]^)lmn᦮p)PQJOḄJ⁚ᢣᦪqr"0.90,1.36,1.12,0.62,(3)ᙠ(tuᑡWaᣵJ⁚]^)8h<⊤:JO├/0J⁚ᢣᦪx◀J⁚]^Ḅ├0160.906.72151.3611.03101.128.9440.626.51100.9011.12181.3613.23151.1213.4470.6211.31140.9015.62261.3619.13231.1220.54120.6219.41190.9021.12281.3620.63251.1222.34180.6229.01220.9024.42341.3625.03281.1225.04210.6233.91240.9026.72361.3626.53301.1226.8

734200.6232.31280.9031.12401.3629.43351.1231.34270.6243.5zᵨx◀J⁚]^pḄ(tuᑡ|}(tuᑡḄGH)89hᑮ!":T=6.33+1.06/tᙠ+,+PQJO)f=32,ᦑ7#=6.33+1.06x32=40.25஺+PJOḄJ⁚ᢣᦪ0.62,ᦑ⚜V"40.25x0.62=24.96஺