運(yùn)籌學(xué)第四章多目標(biāo)規(guī)劃

第四章多目標(biāo)規(guī)劃4.1多目標(biāo)規(guī)劃模型及其解的概念4.2多目標(biāo)規(guī)劃的解法—目標(biāo)規(guī)劃法4.1多目標(biāo)規(guī)劃模型及其解的概念單目標(biāo)問(wèn)題：方案dj

評(píng)價(jià)值f(dj)多目標(biāo)問(wèn)題：方案dj

評(píng)價(jià)值向量[f1(dj)，…，fp(dj)]線(xiàn)性目標(biāo)規(guī)劃與線(xiàn)性規(guī)劃比較，具有下面的特點(diǎn)：1.線(xiàn)性規(guī)劃只討論單目標(biāo)線(xiàn)性函數(shù)在一組線(xiàn)性約束條件下的極值問(wèn)題，而目標(biāo)規(guī)劃能統(tǒng)籌兼顧處理實(shí)際問(wèn)題中經(jīng)常出現(xiàn)的多種目標(biāo)關(guān)系，求得更切合實(shí)際的最優(yōu)解。2.線(xiàn)性規(guī)劃要求在滿(mǎn)足所有約束條件的可行解中求最優(yōu)解，而實(shí)際問(wèn)題中存在著互相矛盾的約束條件，從而制約了線(xiàn)性規(guī)劃解決問(wèn)題的范圍。目標(biāo)規(guī)劃將克服這些互相矛盾的約束條件，找到滿(mǎn)意的合理解。3尋.買(mǎi)線(xiàn)攏性筐規(guī)啊劃昨?qū)⑴芗s齊束稼條像件償看潤(rùn)成天同猴樣雷重侵要嚴(yán)、兼不線(xiàn)分培主末次如的這條唉件料，鈴而喪目驕標(biāo)任規(guī)魄劃深將拳依坑據(jù)賀實(shí)政際粉情飄況依去盟確堡定石模誘型滴，鍛并繡主消次斜有繼別促地狗進(jìn)圈行君求滿(mǎn)解蛙。4各.加線(xiàn)虹性齊規(guī)吼劃筋求萄得擇最飛優(yōu)內(nèi)解演，信可納能畜求觸得魄此棒解螺將賢花振昂抵貴惹的艙代牧價(jià)廚，舞而典目賺標(biāo)柿規(guī)求劃循尋唯求竹的標(biāo)是午滿(mǎn)趁意巡壽解浮，療即他在乎指床定她的卻指尚標(biāo)握值洽下抓求狼得呼近淺似健解念，士實(shí)牽際府問(wèn)鋼題遼可狐能攔更欄需塔要雷這椒樣址的杠滿(mǎn)轉(zhuǎn)意填解鉛。x10x2M1M2M3M4劣解有效解最優(yōu)解4趕.番2孫多魔目鼠標(biāo)無(wú)規(guī)表劃緣瑞的疼解威法蠢—抖目?jī)蓸?biāo)箏規(guī)效劃窄法一腦.蹄目痕標(biāo)青規(guī)局劃嚼的堂數(shù)忽學(xué)展模些型1行.枝問(wèn)丑題系的閣提談出例洗1括（P納9狹9例請(qǐng)4粉.糾7歲）產(chǎn)品AB限量設(shè)備工時(shí)（月/單位）2412材料（百?lài)?單位）3312利潤(rùn)（萬(wàn)元/單位）43.2如何安排生產(chǎn)計(jì)劃使獲利最大？

設(shè)籍生搶產(chǎn)那產(chǎn)位品A和B各x1,塌x2若歇要墻求下：1申）來(lái)生追產(chǎn)隱這塞兩篇種松產(chǎn)止品估的泄利趟潤(rùn)茫最屠少揪達(dá)挑到套1犧2媽萬(wàn)壩元2禮）A產(chǎn)鞋品希的下產(chǎn)包量谷盡犬可促能艇是B產(chǎn)限品旗產(chǎn)渣量貸的葬1悠.覆5拒倍3驅(qū)）抬為件充施分時(shí)利陪用扛設(shè)外備傅工晌時(shí)駱，繁必頌須歪使畜設(shè)斷備床的磚空紐奉閑蠻時(shí)肢間愧盡投可床能慘的哥地斜小踐。問(wèn)胖工抱廠晴又糟應(yīng)釘如嫁何速?zèng)Q純定調(diào)產(chǎn)因品A判、橡B(yǎng)的巖產(chǎn)坡量襲？仍絡(luò)設(shè)戀生稼產(chǎn)熊產(chǎn)跌品A棵、萄B各x1，岸x2資淋源介約限束像：眾3x1+敲3覽x21微2—疾—廁硬銀約垮束令d1-表舞示洋安允排騎生能產(chǎn)謊時(shí)綠，冬低武于悲計(jì)厘劃超利萍潤(rùn)丑1架2肅的吵量—財(cái)—辯負(fù)窯偏鬧差惕變皺量令d1+表工示逐安濱排勤生餓產(chǎn)閱時(shí)拋，訴高熱于傲計(jì)切劃護(hù)利葬潤(rùn)篩1喪2錘的肆量—鴉—班正堪偏昏差暴變暈量故駕4x1+慣3賭.駝2偉x2-密d1++勺d1-=神1蘿2M詢(xún)i艙n爺Z1=僑d1-令d2-表我示鞏安芬排痕生鏡產(chǎn)癢時(shí)行，A產(chǎn)讀品均比筐1碑.腿5鳴倍B產(chǎn)棟品胖產(chǎn)楊量惑的倒不晃足鼓量—紅—負(fù)狂偏輝差即變塌量—灶—正說(shuō)偏增差乓變比量令d2+表唉示未安紀(jì)排蝴生楊產(chǎn)許時(shí)急，A產(chǎn)菠品門(mén)比苗1勇.眼5繩倍B產(chǎn)凡品吉產(chǎn)莊量侮的除超影過(guò)耗量故x1-擾1歡.歐5兇x2-鳴d2++窗d2-=魂0M收i餅n寫(xiě)Z2=耳d2++辦d2-令d3-表椒示釘剩五余通的觀設(shè)度備懂工沖時(shí)d3+表的示朋超鏟過(guò)貓的琴設(shè)紛備傭工棟時(shí)故必2x1+梨4屢x2-膊d3++鋪d3-=乘1廣2M淡i蓮n喇Z3=終d3-所鼠以盾，儲(chǔ)模鏡型六為蟻：m童i北n靜Z1=犁d1-,賀m以i始n靜Z2=承d2-+衣d2+,布m罪i滔n噸Z3=護(hù)d3-目韻標(biāo)抖規(guī)新劃培模逗型轉(zhuǎn)輸化蔥為第單賣(mài)目巨標(biāo)元：m儀i粉n隨W柏=懷P1d1-+奪P2(翻d2-+賴(lài)d2+)定+臭P3d3-P1—鎮(zhèn)—第癥一唇優(yōu)挑先洲級(jí)P2—欲—第穩(wěn)二驕優(yōu)守先姿級(jí)P3—執(zhí)—第坐三貧優(yōu)鮮先積級(jí)P1>穗>園P2>譯>衛(wèi)P32湯.吩數(shù)該學(xué)屯模餓型（遵1呆）溫目棟標(biāo)恐規(guī)優(yōu)劃觀模乘型耗的估要肥素1]決科策邊變辯量票和丘偏激差枝變伐量決諸策關(guān)變爹量出：又找稱(chēng)計(jì)控砌制防變母量淺，叔用xi表鏟示偏庫(kù)差砍變認(rèn)量辨：正按偏客差犧變姿量陡（di+）燈：實(shí)毀際崗決悄策云值類(lèi)超流過(guò)膚第i個(gè)客目吐標(biāo)足值啦的貢數(shù)精量di+=fi(廣X吸)斧-輝fi(柴0水)fi(辭X腿)倆>輕fi(扔0偽)0fi(宅X為)fi(辣0膛)負(fù)股偏侄差鉆變劣量注（di-）蔬：di-=fi(像X成)fi(齊0沉)fi(扯0堡)-盛fi(閣X攻)fi(怒X點(diǎn))<fi(撕0敬)實(shí)助際倍決級(jí)策棉值勞低偽于鉗第i個(gè)句目仇標(biāo)唱值港的胞數(shù)烈量0di+松0說(shuō)皇明通實(shí)劣際裕值習(xí)超騾過(guò)外目鬼標(biāo)吊值則di-=躁0di-扭0說(shuō)之明啊實(shí)判際翼值劣低寒于濫目屢標(biāo)蔬值則di+=布0di+·di-=份02糊.絕勿對(duì)燦約千束郊和倉(cāng)目梯標(biāo)愛(ài)約夕束絕添對(duì)箱約住束敏：菜指簡(jiǎn)必飯須恢嚴(yán)冷格舟滿(mǎn)居足技的綢等懸式蟲(chóng)或社不委等鄭式—松—移硬往約潛束目直標(biāo)撞約攏束芒：榴在汪達(dá)炊到泥目鼻標(biāo)歸值黨時(shí)亂允桐發(fā)盜生失正太或走負(fù)乖的偏結(jié)差仍量—證—匆軟型約余束如?。郝攲?duì)袍于標(biāo)約某束孫：fi(翠X姜)嗎+袍di--竭di+=富fi(倉(cāng)0含)當(dāng)di-=窗0時(shí)芒，fi(越x種)妖fi(陽(yáng)0街)當(dāng)di+=臣0時(shí)指，fi(旗x辜)fi(扣0慎)當(dāng)di+=亭di-=乏0時(shí)英，fi(潔x納)=fi(螞0殿)3.優(yōu)致先郊因莊子繼與粉權(quán)倆系懇數(shù)第埋一翠位并達(dá)南到她的戰(zhàn)目熔標(biāo)餡—政—率優(yōu)股先懼因跪子P1第捕二猜位特達(dá)遮到蘿的勝目問(wèn)標(biāo)坐—花—豈優(yōu)元先重因弊子P2…吳…并刻規(guī)墻定趙：Pl>遮>糾Pl丈+語(yǔ)1表悟示Pl比Pl里+鑰1有更狼大暮的車(chē)優(yōu)暢先稅權(quán)不茄同味優(yōu)橫先蚊權(quán)撤的奶因攪子權(quán)蘆系垮數(shù)—堵—表相叮同噸優(yōu)長(zhǎng)先同級(jí)閥權(quán)優(yōu)的照因夠子4.目叼標(biāo)雕函寄數(shù)構(gòu)信成各狂目猶標(biāo)亮約修束更的膨正影負(fù)丙偏妹差肆變萌量相拉應(yīng)丑的蔑優(yōu)校先錯(cuò)因看子極垃小謹(jǐn)化傘：嶺盡遇可韻能庫(kù)縮瓜小億偏嫌離刊目預(yù)標(biāo)鑄值對(duì)朱于婆約聲束fi(慘x棕)望+兇di--衛(wèi)di+=術(shù)fi(急0艦)(何1芒)芳若綿要裝求引恰峽好派達(dá)串到櫻預(yù)謎定畏目搞標(biāo)屈值則m扁i合n劍(珠di++浴di-)(徑2謙)串若窯要袖求愉不抱超暮過(guò)領(lǐng)預(yù)計(jì)定冊(cè)目督標(biāo)騙值則m土i傅n衛(wèi)(詢(xún)di+)(惠3遲)牛若罪要削求些超屆過(guò)愈預(yù)謀定勻目繭標(biāo)李值則m石i劈燕n采(盡di-)一掠般級(jí)目達(dá)標(biāo)鏡規(guī)疼劃篇模衣型隙：—單—軟訪(fǎng)約靈束fi(稈x辮)繳-魂di++大di-=組fi(吉0更)X威R—臘—硬似約耽束di+蜓0優(yōu),竊di-磁0書(shū)(塞i城=瞧1示~尋p傾)二便.教目抹標(biāo)抬規(guī)擴(kuò)劃役的頃解更法1信.紅圖撕解徑法（滋2涂個(gè)桑決柏策藥變需量次）步券驟塌：1.做吊絕有對(duì)雷約利束醉，監(jiān)作想法嫩同死線(xiàn)攻性破規(guī)況劃恩圖鳴解遞法評(píng)；2.做眾目恨標(biāo)痛約絹束粱：燭令金偏逗差di=西0講，標(biāo)鍬上di的箭購(gòu)頭鄉(xiāng)豐方部向泡；3.按咳優(yōu)喉先辣級(jí)扁逐順步洗縮袋小聽(tīng)可察行組解職的之范丙圍辮，嬌最齡后得圾到窄有銅效效解階。例認(rèn)2斯.求用劣圖茂解額法餅求步解西目猾標(biāo)姑規(guī)套劃解：（勁1潮）著先貧在盟平較面夠直很角辮坐所標(biāo)矩系評(píng)中披做思出羊各嗽約漿束腫條件濱所絡(luò)確汪定閘的蒼區(qū)巴域諷；（酸2毀）巖標(biāo)營(yíng)出良目集標(biāo)斬約養(yǎng)束儲(chǔ)在蓮相挎應(yīng)疫直愧線(xiàn)罰上di+,倡di-增大銳的淋方狠向挺；（監(jiān)3貢）虜根暫據(jù)陷目旺標(biāo)簡(jiǎn)函區(qū)數(shù)抖的儉優(yōu)趨先怖因復(fù)子擔(dān)分抹析桌求揪解魔。絕數(shù)對(duì)肯約端束數(shù)如緩線(xiàn)弄性艇規(guī)享劃品圖們解敘法目桌標(biāo)墨約駝束獎(jiǎng)：魔令di+,蝴di-均裂為硬0捉，午作訂直懇線(xiàn)x1x20(頭1炊)莊4x1+帖3撇.耀2臉x2=兼1賀2(枯2愁)射x1-蘇1伴.絨5騙x2=熊0(撕3韻)孝2x1+宿4吃x2=氏1渡2(紐奉4起)寺3x1+份3她x2=兼1濤2d1+d1-d2+d2-d3+d3-AB(碰1疤)靈(言2湯)網(wǎng)(股4僑)術(shù)約宅束沾有朱公侍共撓區(qū)另域遵：治線(xiàn)很段A國(guó)B(訂3氧)暴約塞束予與拔(尿1尋)乎(控2巴)榴(句4門(mén))呢約渣束噴無(wú)穴公呢共食區(qū)胸域臟，喝故菜應(yīng)法得尋滿(mǎn)智意掩解該止解鍬盡嗚可萄能瞎?jié)M嬌足縱(蒸3辭)演約丸束肝，抵故B點(diǎn)雀為恢滿(mǎn)仁意炮解求途解算直膀線(xiàn)x1-惱1仍.烘5同x2=皮0與嶼3x1+災(zāi)3計(jì)x2=遲1潮2的飲交嫩點(diǎn)得練到杜滿(mǎn)洞意語(yǔ)解伍為x1=悠1步2曉/魯5追,注x2=刷8轉(zhuǎn)/針52豎.項(xiàng)單拿純竟形糕法算汁法鴿：（貿(mào)1鉗）字建俱立允初跳始撒單充純騰形揭表首，慮在燒表筐中勿將騾檢保驗(yàn)刻數(shù)昂按餐優(yōu)棟先玩因哥子裂個(gè)完數(shù)毯分罰成泡若查干李行區(qū)；（晴2斧）盆換逆基座迭頭代留時(shí)疼先族考部慮從第錘一幻玉優(yōu)塵先領(lǐng)級(jí)晃的柄檢辦驗(yàn)番數(shù)挨，胳若側(cè)均侍0學(xué)，溪再遵考愚慮沈第屆二租優(yōu)風(fēng)先倡級(jí)宮，娃以屆此柳類(lèi)認(rèn)推毒；（描3戲）許若歇檢純驗(yàn)卷數(shù)芒第k行唐的草某漂檢刮驗(yàn)議數(shù)閣非勞正料，逼但在它移所鈴在享列遵的俘前k攤-厚1個(gè)殲檢旱驗(yàn)授數(shù)啄均崖非是負(fù)動(dòng)，扭則以表柿中緞相底應(yīng)柱解葵為僵滿(mǎn)驚意眾解噸，尺停扭止窄計(jì)畝算斥。例黎3帆.擊用嘴單本純燈形宋法飄求數(shù)解額目熔標(biāo)漠規(guī)敘劃蒸：Cj000P1P2P2P30CBXBB-1bx1x2d1+d1-d2+d2-d3-x3P1d1-1243.2-110000P2d2-01-1.500-1100P3d3-12240000100x3033000001jP1-43.2100000P2-11.5002000P3-2-4000000Cj000P1P2P2P30CBXBB-1bx1x2d1+d1-d2+d2-d3-x3P1d1-1209.2-114-4000x101-1.500-1100P3d3-1207002-2100x31207.5003-301jP10-9.210-4400P200001100P30700-2200Cj000P1P2P2P30CBXBB-1bx1x2d1+d1-d2+d2-d3-x30x21.301-0.110.110.43-0.43000x11.9510-0.1650.165-0.3550.35500P3d3-2.9000.77-0.77-11100x32.25000.825-0.825-0.2250.22501jP100010000P200001100P300-0.770.771-100Cj000P1P2P2P30CBXBB-1bx1x2d1+d1-d2+d2-d3-x30x21.601000.4-0.400.130x12.41000-0.40.400.2P3d3-0.80000-0.790.791-0.930d1+2.72001-1-0.2730.27301.21jP100010000P200001100P300000.79-0.7900.93該陵目級(jí)標(biāo)端規(guī)優(yōu)劃初的哪滿(mǎn)代意鞠解滴為新：x1=博2虧.倚4老,怪x2=烈1迫.咐63走.仇目罰標(biāo)惜規(guī)案劃灰的富靈浙敏危度海分芝析在凳目舍標(biāo)督規(guī)猾劃掃建科模脫時(shí)藏，只目援標(biāo)園優(yōu)貓先配級(jí)背和韻權(quán)栽系掀數(shù)塞的溝確俱定受往診往酒帶辟有莖一鵝定杠的暢主天觀詢(xún)性族，頁(yè)因礦此局，問(wèn)目閃標(biāo)酷規(guī)備劃糠的母靈趁敏鞭度貍分穿析款主剛要涼針逼對(duì)促優(yōu)東先止級(jí)如及杏權(quán)壞系薯數(shù)燒的臉變躺化重對(duì)紐奉最佛終侄解僻的朗影內(nèi)響出。方割法煮：梁變墾化密后匠的索優(yōu)洋先瓦級(jí)罩及夕權(quán)勒系之?dāng)?shù)某代待入變初滲表辛中湊重態(tài)新倉(cāng)計(jì)淋算灘。4外.碌目洪標(biāo)住規(guī)商劃晶應(yīng)救用技舉年例例額1滔某職單罰位眼領(lǐng)撥導(dǎo)匹在猶考值慮域本翠單膀位維職奶工秒的灰升憶級(jí)溉調(diào)播資筐方囑案溪時(shí)曠，煩依近次傾遵趁守樓如疼下覺(jué)規(guī)襪定澡：（攻2扔）則每侵級(jí)淹的丹人桐數(shù)扶不奔超丸過(guò)規(guī)定役編病規(guī)濤定械的份人悅數(shù)濤；（稅1往）驢不算超漢過(guò)斜年測(cè)工吩資她總妨額化6峽0餐0次0傭0治元養(yǎng)；（梅3帥）正二赤、周三涂級(jí)蓮的孕升答級(jí)摔面稅盡浴可鋤能蓋達(dá)葬到辜現(xiàn)有有狼人數(shù)扒的友2父0值%巡壽；（俘4重）銜三晴級(jí)鮮不犧足廟編蒙制遇的拆人雪數(shù)貨可管錄圈用篇新瞞職經(jīng)工氣，又竄一捕級(jí)嚴(yán)的濤職洲工蛋中臟有艦1另0蜓%踩要損退設(shè)休謀。有狐關(guān)逝資恨料杜匯勿總番于辟下敘表修，耐問(wèn)桿領(lǐng)睛導(dǎo)爐應(yīng)家如既何雖擬估定付一鼠個(gè)雖滿(mǎn)和意井的箏方策案侵。等級(jí)工資額（元/年）現(xiàn)有人數(shù)編制人數(shù)一20001012二15001215三10001515合計(jì)3742解區(qū)：些設(shè)x1,市x2,腎x3分橋別扯表刊示封提曬升咽到墊一舞、峽二防級(jí)艙和錄詳用存到必三預(yù)級(jí)避的季新彼職精工族的送人濁數(shù)咬。對(duì)須各支目掌標(biāo)征確音定涼的圣優(yōu)饞先腿因值子鳴為填：P1—慎—不頁(yè)超諷過(guò)棋年摸工狠資嘩總樸額家6讀0持0起0鐮0愉元P2—羽—每淹級(jí)舅的糞人安數(shù)腥不俯超瀉過(guò)賭定獎(jiǎng)編匠規(guī)行定科的此人圾數(shù)P3—憐—二恩、暑三上級(jí)碎的站升惑級(jí)警面行盡睡可餃能仇達(dá)陜到丹現(xiàn)背有人廁數(shù)丙的疊2陳0朵%先含分革別我建摘立住各蟲(chóng)目打標(biāo)籍約旋束敬：（要1墳）籮年秀工像資勝總腳額們不休超烤過(guò)任6禮0灣0小0局0完元梨；2蒸0友0涌0燦(陳1商0凳-彎1聯(lián)0向*檔0涼.鄰1毫+x1)蘭+憐1栽5么0蠻0孫(歐1領(lǐng)2找-戒x1+剖x2)漸+1疫0申0通0扎(蜂1攪5解-敞x2+穴x3)錄+享d1--配d1+=赴6撕0躁0窩0痰0m暴i船n覽d1+（脆2奪）多每仍級(jí)扛的顆人摧數(shù)護(hù)不應(yīng)超樂(lè)過(guò)怠定薄編顛規(guī)船定采的樂(lè)人處數(shù)稅：對(duì)稅一死級(jí)媽有翻1曉0劫(背1芳-飯0衣.惹1季)葵+x1+練d2--漆d2+=盼1匆2m慣i戲n筆d2+對(duì)寒二胞級(jí)誤有母1氣2固-x1+適x2+汪d3--術(shù)d3+=傘1安5m義i震n破d3+對(duì)障三哄級(jí)耐有證1吉5順-x2+局x3+楚d4--默d4+=顏1朵5m休i宴n扛d4+（艘3疲）竿二嬌、古三央級(jí)耀的輛升推級(jí)各面質(zhì)不祥大嶄于刑現(xiàn)黃有土人恰數(shù)策的2繞0壩%魔，浸但弱盡志可茂能暴多捕提屬：對(duì)景二它級(jí)豬有x1+片d5--叨d5+=隆1頃2上*失0睡.久2m孩i完n搏d5-對(duì)河三歷級(jí)怒有x2+冬d6--雀d6+=紗1亭5飛*疾0策.須2m紅i躍n媽d6-目渾標(biāo)墊函蒜數(shù)冠：m恢i倚n建Z季=泥P1d1++限P2(覽d2++米d3++慨d4+)傅+臟P3(做d5-+怪d6-)模狠型濕為蹲：以雖上銹目武標(biāo)踢規(guī)訪(fǎng)劃淋模戚型殘可巖用劍單企純喊形扭法患求戰(zhàn)解異，撇得群到漏多事重貪解霜。稈現(xiàn)掠將片這它些魯解怨匯快總改于鳴下寬表吩。水該曬單邁位襯領(lǐng)會(huì)導(dǎo)習(xí)再蘿按稅具季體餓情漠況崗，樂(lè)從仙下蔑表蛾中路選良一腳個(gè)炕執(zhí)犯行壞方科案政：變量含義解1解2解3解4X1晉升到一級(jí)的人數(shù)2.42.433X2晉升到二級(jí)的人數(shù)3335X3新招收三級(jí)的人數(shù)0335d1-工資總額的結(jié)余額6300330030000d2-一級(jí)缺編人數(shù)0.60.600d3-二級(jí)缺編人數(shù)2.42.431d4-三級(jí)缺編人數(shù)300.60d5+二級(jí)超編人數(shù)0000.6d6+三級(jí)超編人數(shù)0002例山2貍已糟知保有蹤蝶三界個(gè)濾產(chǎn)懲地敬給犁四蘿個(gè)鄭銷(xiāo)發(fā)地穴供叫應(yīng)玩某厘種敞產(chǎn)它品檔，脂產(chǎn)僻銷(xiāo)領(lǐng)地致之凍間勤的綢供平需駕量帝和旱單科位嗎運(yùn)室價(jià)景見(jiàn)榨表民1丹，罪并預(yù)規(guī)調(diào)定依其羅相估應(yīng)追的捐優(yōu)蝴先謹(jǐn)級(jí)?。篜1—話(huà)B4是滅重刪點(diǎn)俘保據(jù)證裂單貪位彎，伸必遲須悉全寇部嶄滿(mǎn)胸足終其需禿要饞；P2—啄A3向B1提焦供挽的夢(mèng)產(chǎn)抽量耳不源少佳于信1抓0簽0各；P3—每穴個(gè)場(chǎng)銷(xiāo)聚地塵供椒應(yīng)側(cè)量脹不區(qū)小睛于篇其羨需活要扮量豎的以8唉0諸%P4—所能訂扶調(diào)舊運(yùn)之方征案羊的鄰總歷運(yùn)訊費(fèi)灰不榜超礦過(guò)寄最額小槽運(yùn)戚費(fèi)調(diào)瞇運(yùn)調(diào)方浴案優(yōu)的移1航0矩%送；P5—因磚路茂段矮的光問(wèn)淋題略，蠻盡挺量勵(lì)避隆免公安腰排北將A2的殿產(chǎn)敢品愛(ài)調(diào)輔往B4；P6—給B1和B3的貢供雄應(yīng)白率咽要杜相兼同弓；P7—力泡求開(kāi)總炸運(yùn)流費(fèi)麥最京省歪。試鞭求州滿(mǎn)惕意反的爆調(diào)笑運(yùn)那方滑案戒。表立11000900250450100200銷(xiāo)量4003254A32006453A23007625A1產(chǎn)量B4B3B2B1

銷(xiāo)產(chǎn)解津：盼用枯表些上殘作等業(yè)中法蛇求個(gè)得撒最塔小殿運(yùn)永費(fèi)劃的城調(diào)迫運(yùn)脅方熄案封，幟見(jiàn)糖下汗表慮。1001000100250450100200

A4銷(xiāo)量400150250A32002000A2300100200A1產(chǎn)量B4B3B2B1銷(xiāo)產(chǎn)這尚時(shí)暖最桃小粘運(yùn)價(jià)費(fèi)滲為漏2太9全5唱0瘡元亭，艇再兩根沸據(jù)餅提更出勇的翠各卡項(xiàng)脂目朋標(biāo)瞎的敢要央求銜建涉立終目群標(biāo)碑規(guī)近劃挨的歷模憂(yōu)型眉。（布1篇）星供妄應(yīng)畜約場(chǎng)束隔：x1炸1+星x1悼2+孩x1盜3+次x1不43潔0邀0x2陷1+伯x2徑2+糠x2池3+否x2輛42回0推0x3腿1+踩x3達(dá)2