第五章多目標(biāo)規(guī)劃多目標(biāo)線性規(guī)劃問(wèn)題多目標(biāo)規(guī)劃問(wèn)題的非劣解和非劣解集求解多目標(biāo)規(guī)劃的目標(biāo)線性加權(quán)法層次分析法目標(biāo)規(guī)劃多目標(biāo)規(guī)劃的例子(1)產(chǎn)品ABC條件利潤(rùn)（萬(wàn)元/噸）941目標(biāo)函數(shù)，最大化耗用原料（噸/噸）425耗用原料不超過(guò)38噸排放污染（m3/噸）213排放污染不超過(guò)25m3銷售價(jià)格（萬(wàn)元/噸）301020銷售總額不低于100萬(wàn)元產(chǎn)量（噸）111總產(chǎn)量不低于12噸利潤(rùn)最大化的線性規(guī)劃模型為：maxz=9x1+4x2+x3s.t.4x1+2x2+5x3≤38 耗用原料約束2x1+x2+3x3≤25 排放污染約束30x1+10x2+20x3≥100 銷售總額約束x1+x2+x3≥12 產(chǎn)量約束x1,x2,x3≥0最優(yōu)解如下表：產(chǎn)品條件最優(yōu)解利潤(rùn)（萬(wàn)元/噸）目標(biāo)函數(shù)，最大化總利潤(rùn)83萬(wàn)元耗用原料（噸/噸）耗用原料不超過(guò)38噸耗用原料38噸排放污染（m3/噸）排放污染不超過(guò)25m3排放污染19m3銷售價(jià)格（萬(wàn)元/噸）銷售總額不低于100萬(wàn)元銷售總額260萬(wàn)元產(chǎn)量（噸）總產(chǎn)量不低于12噸總產(chǎn)量12噸如果允許排放的污染量從25立方米逐步減少，最優(yōu)解也將發(fā)生變化。變化情況如下表：：多目標(biāo)規(guī)劃的例子(2)允許排放的污染(m3)產(chǎn)品A產(chǎn)量（噸）產(chǎn)品B產(chǎn)量（噸）產(chǎn)品C產(chǎn)量（噸）最大利潤(rùn)（萬(wàn)元）25750831975083186607817570731648068153906314210058131110531201204811沒(méi)有可行解多毒目機(jī)標(biāo)恨規(guī)擦劃熄的屠例仁子共(低3愚)2劫5窮2考4汽2顯3叮2妖2男2緣瑞1舟1蛛9吉1畢8陷1丸7屢1電6御1下5綱1壇4乳1釋3猾1遷2允窩許點(diǎn)排初放百的攜污解染斑（禁m3）8公37敲87環(huán)36糞86現(xiàn)35恭85純34栗8最陶大俱利爪潤(rùn)辰（令萬(wàn)扭元倒）允客許美排績(jī)放商的有污趟染幼和舌最彩大真利她潤(rùn)榆之推間轟的藥關(guān)謹(jǐn)系排錫放撇污憂染鏡最本小腹和刪利本潤(rùn)煩最把大晉兩劫個(gè)痛目溉標(biāo)呀可悶以暫同軋時(shí)幻玉實(shí)可現(xiàn)強(qiáng)的虎區(qū)賣域利鄰潤(rùn)弓最健大扒化灑和起排杜放柴污將染調(diào)最感小蹈化臟雙錯(cuò)目紙標(biāo)磚問(wèn)滑題眨的民圖伶示兩蒜個(gè)永目掏標(biāo)嚷的勾規(guī)瘦劃迅問(wèn)循題挽的保劣珍解竊和癢非打劣歌解第很一們個(gè)慣目傅標(biāo)第模一博個(gè)環(huán)目靜標(biāo)z1覆Az1爺Bz2幻玉Az2蜜BNMPP’AB劣捕解劣遭解非鵲劣倘解袖(汁P均a嶄r載e夕t耀o陷解咸)非袖劣爭(zhēng)解戶(機(jī)P魯a恨r(nóng)鮮e編t鞠o竹解嗓)非臂劣趁解則集竭(憶P術(shù)a當(dāng)r濱e游t賽o誘解漿集赴)兩延個(gè)或目疼標(biāo)漏都兄可渴能均實(shí)猴現(xiàn)孩的烘區(qū)哈域第你一磁個(gè)枯目頑標(biāo)橫取殼定寫(xiě)一昏個(gè)診值喝z1柳A，污作撿為影約福束外條史件灑，信優(yōu)沖化旅第共二陵個(gè)戚目握標(biāo)出，屋得掃到番第摩二端個(gè)興目駁標(biāo)炕的乞最伴優(yōu)鋼值莖Z2特A，焰得面到飽A改點(diǎn)犧。醬…擴(kuò)…積用欲同瓶樣廉的安方跟法況得均到鄙B嗎點(diǎn)組。術(shù)依死次狗進(jìn)筒行患，勝得癥到糟兩格個(gè)他目罷標(biāo)爭(zhēng)之令間替關(guān)隸系圖的丟曲鏈線甘A公B么和絞相逐應(yīng)易的遲區(qū)置域糕。區(qū)絡(luò)域到內(nèi)婆部取的魂點(diǎn)折N壘和園M糕稱可為確“晃劣龍解發(fā)”臥，俊劣顆解咐的個(gè)兩雀?jìng)€(gè)乎目茅標(biāo)辛同鄰時(shí)蟻可譜以與改差進(jìn)贏。忠曲徐線符A友B利上激的培點(diǎn)趁稱俊為陪“挎非呢劣嘴解敏”悔或便“映P發(fā)a濤r澇e留t厭o臘”依解職，華非勞劣古解罵的緩兩疊個(gè)找目水標(biāo)亂不息可挖能布同捆時(shí)集改有進(jìn)浩。設(shè)旨多荷目鋪標(biāo)接規(guī)季劃伙的釋可爽行盞域萍為五，宋設(shè)項(xiàng)其路中藏的異一時(shí)個(gè)陶可辰行楚解X挎*布∈案油，勻它灰的抖K未個(gè)光目歐標(biāo)鑒值腫分御別f1(漠X白*脆)壁，講f2(度X逮*絡(luò))亡，香…題…音，內(nèi)fk(巾X雀*外)如借果選對(duì)束于罵任芬意棋的傷可玻行撲解垮X(qián)鐘∈親孩，偶都梳至相少狠有萬(wàn)一薪個(gè)柿目公標(biāo)牽i顆，聰使堡得fi(繡X校)闖>映fi(芳X詳*噴)則筒稱挎X奮*猛為飯這竄個(gè)監(jiān)多敗目軟標(biāo)魔規(guī)諸劃旨的矩一鞋個(gè)知P獎(jiǎng)a創(chuàng)r聯(lián)e鼓t區(qū)o廉解竭（膏也胖稱茄為雙非尤劣松解識(shí)、舍有位效挪解桌）歇。如妥果辮一賴個(gè)猶多全目騾標(biāo)另規(guī)宿劃擇問(wèn)茫題蠅有柄一賊個(gè)漫以保上肯的蝕P依a廈r攝e妙t擱o期解稿，梳這互些妻P屑a菊r嚇e育t咽o千解凈組呈成遼的宵集缺合事稱愈為表P威a鑰r鵝e曲t饒o有解療集旦。多蘿目熱標(biāo)此規(guī)東劃弄問(wèn)首題奴的遠(yuǎn)非串劣禾解狗和辰非測(cè)劣牌解皺集f1(潛X隨)f2(懂X角)f乎(珍x怕)xP輛a遠(yuǎn)r萌e薪t捐o養(yǎng)集x1x2x4x5x3圖澆中蝴x1、稼x5為信劣朋解印，足x2、千x3、另x4為川P宮a亡r廚e舟t變o性解劣尖解劣組解P叉a紀(jì)r理e佳t角o柔解們集病的麻圖瓣解多悟目遷標(biāo)篇線銜性濱規(guī)畫(huà)劃仿的形P蓄a罷r另e鐘t礦o聚解向集斯(待1聲)設(shè)籠兩黃個(gè)燙目恰標(biāo)蒜的喘線堤性鋤規(guī)尊劃腎為m亡i釣n忌z1=餡c1染1x1+摟c1腰2x2m冠i草n沸z2=生c2危1x1+泳c2跡2x2s棒.豆t飛.a1輩1x1+墓a1快2x2≤詠b1a2蜻1x1+救a2初2x2≤論b2x1,煩x2≥隨0設(shè)泡以濕z1為杰單票目分標(biāo)版的猛線茫性貓規(guī)巖劃籮最速優(yōu)增解縮慧為陜B謊，腐以示z2為辟單鼻目遼標(biāo)妄的盼線切性捎規(guī)店劃單最拴優(yōu)決解飼為餅D坦。頑可班行管域備內(nèi)貌部督（學(xué)不籍包著括庸邊途界伴）杯的稍可諸行輝解叨都胸是李劣影解召。OABEDCz1z2Fz1z2OABEDCz1z2z1F對(duì)涂于尋多捷目來(lái)標(biāo)挺規(guī)蛾劃蘭可跑行者域牙中皮的柳點(diǎn)度，顆根南據(jù)讀兩幫個(gè)含目隨標(biāo)斤函征數(shù)賢的例法堡線暗方代向感，饅可燥以安確獲定聲兩襲個(gè)述目剖標(biāo)泛同冰時(shí)悔可賢以壘改牢進(jìn)開(kāi)的獻(xiàn)方械向倦。終這旺是洗一覽個(gè)注錐輛體慶，凳錐些體譽(yù)內(nèi)際的御方榆向幟稱果為義多傘目銳標(biāo)有規(guī)巷劃微的屠優(yōu)決化冶方企向矩集欺合蔽。目戴標(biāo)丘函她數(shù)扣z1改心善曬的客方耗向目洲標(biāo)暫函抄數(shù)伙z1和犧z2同慈時(shí)孝改戒善奮的鋒方靈向z2目穴標(biāo)餓函鄙數(shù)所z2改轉(zhuǎn)善移的擱方糟向OABEDCF當(dāng)盆一沈個(gè)鋪可付行拼解箭的航優(yōu)添化煎方傳向股集摧合滔和鴨可際行飾域依的租交淋集依為辱非貝空糞時(shí)尺，品兩伴個(gè)攝目絮標(biāo)目z1，臂z2可灑以前同囑時(shí)昌改稍善浸，流即疼這逮樣夾的脫可爪行舊解棕是姐劣責(zé)解奪。理優(yōu)枝化徐方圍向準(zhǔn)集松合裁和揚(yáng)可肅行套域池的宅交作集令為把空浸集色時(shí)消，桐兩堡個(gè)縱目向標(biāo)鉛函推數(shù)自不或可搏能魚(yú)同勇時(shí)稱改搬善朝。劈燕這漲樣襲的滿可省行許解廉是農(nóng)多湯目極標(biāo)備規(guī)巧劃豎的茶P促a父r劍e朋t溜o夸解裕。倆圖腔中哀的悉可演行田解靈B響,貧C盞,銷D鹿是法多孝目哨標(biāo)變規(guī)拉劃忙的戴P彈a飽r逢e旦t援o語(yǔ)解貢。圈P寒a(chǎn)智r矮e朵t崇o得解歉集畏為道折汗線色B爛C尼D監(jiān)。多岸目赴標(biāo)能線暗性基規(guī)嫌劃陰的耳P食a講r塘e撲t木o濱解萄集喇(亞2蠢)用烈單右純駱形巨表箭求級(jí)解趣多歉目脫標(biāo)金線遍性離規(guī)遼劃虜P鎖a盆r晴e深t刊o息解鋤集雙根目奧標(biāo)睡線足性欠規(guī)難劃抖問(wèn)芒題速為m匠a譜x真z1=橋3鐘x1+辣2準(zhǔn)x2m品a借x赤z2=首-盡x1+出2剛x2s撲.陳t剃.濫x1+數(shù)x2≤冤62摘x1+唯x2≤帖1誤0x1+醒2毅x2≤電1它0x1，豪x2≥借0標(biāo)洞準(zhǔn)握化礙問(wèn)勿題西為m民i堵n新z1=營(yíng)-尿3共x1-戴2溜x2m塘i糧n咸z2=穗x1-算2狂x2s浙.裙t叛.隙x1+景x2+辜x3=撲62吧x1+蘇x2+鉗x4=舟1數(shù)0x1+簡(jiǎn)2執(zhí)x2+罪x5=旬1牽0x1,浙x2,居x3,含x4,離x5≥咸0多提目殼標(biāo)叢線陳性遇規(guī)僵劃時(shí)問(wèn)嫩題譽(yù)的漂圖絞解從。6543210圈1更2絞3床4蓋5藥6z2z1OABCD多征目池標(biāo)波規(guī)焰劃六的斃圖巧形目威標(biāo)秀z1的娃最鑒優(yōu)泊解目扁標(biāo)狂z2的壘最墓優(yōu)精解多束目誕標(biāo)詞規(guī)冰劃覆的梨P爆a旺r所e扎t上o百解建集x3=脫0x4=董0x5=未0x2=早0x1=盜0m柔a鋼x混z1=愉3建x1+旅2日x2m每a怖x眠z2=羨-剩x1+摧2壯x2s膨.史t敗.唱x1+周x2≤法62鉤x1+添x2≤屑1爆0x1+硬2女x2≤昨1口0x1，克x2≥蔽01010600RHS1002100x50101200x40011100x30002-110z20002301z1x5x4x3x2x1z2z1多斑目歌標(biāo)糧線屑性冒規(guī)奶劃描單如純園形岡表縣(沾1途)如快果梁非售基狼變奸量莖在覆兩仙個(gè)倆目介標(biāo)普中窗的瘦檢蠢驗(yàn)剛數(shù)聾都企大掌于排0鏈，播當(dāng)根前錯(cuò)的插基響礎(chǔ)伸可饞行奴解私是石劣小解青。磚這使個(gè)飄非涌基謹(jǐn)變糾量蜻進(jìn)適基夾，禽兩粱個(gè)劃目穿標(biāo)趙都悉會(huì)丙改澤善瘡。如奧果丸任廣何勁一唇個(gè)井非揚(yáng)基停變出量油在梁兩妄個(gè)冊(cè)目卻標(biāo)聚中油的意檢障驗(yàn)量數(shù)輛不惰同生時(shí)毀大巡壽于學(xué)0奪，紀(jì)這閱個(gè)約基糕礎(chǔ)使可減行辜解弓是金P邊a饑r產(chǎn)e扔t杜o被解兩，攜任恐何來(lái)一占個(gè)痰非秀基州變倘量向進(jìn)利基勞，孝一辭個(gè)癢目揚(yáng)標(biāo)鎖將騰會(huì)棟改答善品，庭而再另午一子個(gè)閘目史標(biāo)裙將喂會(huì)純變符差寒。1010600RHS1002100x50101200x40011100x30002-110z20002301z1x5x4x3x2x1z2z1當(dāng)椒前宗的射解崇(寒x1,寨x2,啊x3,親x4,冒x5)宏=墻(糧0打,丙0塊,丈6經(jīng),排1逗0梢,或1油0煩)摘,待z1=拴0愁,崇z2=卡0準(zhǔn)是治劣渴解蒜，城對(duì)姻應(yīng)聞?dòng)谀綀D也中峽的堆O谷點(diǎn)誓。x1進(jìn)德基徐，驕x4離銀基盒，擦z1會(huì)惰改便善缸，甲z2將扭會(huì)這變頃差悉，援進(jìn)死到翻劣稀解衡A釀。x2進(jìn)告基火，孕x5離夸基體，皺z1，吹z(mì)2可應(yīng)以重同稈時(shí)銜改沖善起，而進(jìn)蓋到燃P狐a廣r黨e俊t巧o刷解沫D烤。多爭(zhēng)目音標(biāo)械線量性鵲規(guī)紋劃享單秤純奶形豈表漆(意2輸)5515-15RHS1-1/203/2000x501/201/2100x10-1/211/2000x301/205/2010z20-3/201/2001z1x5x4x3x2x1z2z1當(dāng)禽前饅的蓬解四(千x1,反x2,牌x3,鉛x4,主x5)蒙=杠(尺5滾,貪0甜,應(yīng)1剛,木0府,珠5服)紫,井z1=崖1虹5滾,屈z2=制-麻5獄是炮劣狐解圖。偏對(duì)戰(zhàn)應(yīng)放于鵝A里點(diǎn)餅。x2進(jìn)恰基雪，息x3離弄基洽，鴿z1，鄉(xiāng)豐z2同疤時(shí)嚇改禁善中，擦進(jìn)冰到塑P未a猴r曠e棄t憑o稻解繡B爬。x4進(jìn)舒基跟，鉛x1離誤基襯，閣z1會(huì)洞變義差朵，宵z2會(huì)論改乘善百，臟回旱到忽劣幫解明O錫。多君目完標(biāo)鈔線側(cè)性品規(guī)禽劃粉單藍(lán)純澤形躍表塌(怪3屯)2420-16RHS11-30000x501-10100x10-121000x203-50010z20-1-10001z1x5x4x3x2x1z2z1當(dāng)款前姿的棚解溫(雨x1,絨x2,槍x3,超x4,窗x5)為=懂(效2科,竄4柏,取0憂,核0遭,雞2柴)忍,意z1=刻1負(fù)6浸,白z2=榨0禮是衰P質(zhì)a鹽r臂e扁t孟o享解替。側(cè)對(duì)戚應(yīng)劫于欲B鹿點(diǎn)拒。x3進(jìn)太基總，色x2離喪基撥，揪兩日個(gè)炮目檢標(biāo)現(xiàn)同珍時(shí)碼會(huì)腎變比差逮，兼回黨到牲劣畫(huà)解桃A衰。x4進(jìn)沒(méi)基謠，奶x5離良基油，交z1會(huì)調(diào)變弄差飼，定z2會(huì)朋改棉善綱，粥進(jìn)唇到成P筆a例r闖e級(jí)t祝o青解藍(lán)C戰(zhàn)。多恰目努標(biāo)皂線煙性循規(guī)筆劃兵單蛙純霸形臣表鴨(猜4解)224-6-14RHS11-30000x4-1020100x110-11000x2-3040010z210-40001z1x5x4x3x2x1z2z1當(dāng)績(jī)前妄的漲解拆(伙x1,制x2,木x3,抓x4,宴x5)行=徐(爽2淚,卵4捕,掌0糾,廚2梳,懇0水)腎,粱z1=可1蜓4搶,萍z2=盜6楊是井P溉a紋r部e藥t維o橫解戰(zhàn)。矛對(duì)雪應(yīng)愈于炒C礦點(diǎn)克。x3進(jìn)賄基養(yǎng)，筐x1離理基寫(xiě)，未z1會(huì)坦變饞差恰，迎z2會(huì)柜改首善島，淺進(jìn)御到帥P范a壤r病e栗t嫂o仙解壤D謹(jǐn)。x5進(jìn)妖基存，逃x4離爬基賊，弦z1會(huì)掛改涂善辟，鞋z2會(huì)頌變搬差疤，祥回持到者P組a勿r恰e艇t兩o球解謙B獅。多幟目宿標(biāo)部線嗽性堤規(guī)扮劃哥單姿純漲形韻表倆(瘋5劈燕)515-8-10RHS-1/21003/200x4-1/20101/200x31/20011/200x2-1000-210z2-1000201z1x5x4x3x2x1z2z1當(dāng)目前撫的酒解炭(謎x1,濾x2,貍x3,危x4,誼x5)依=窩(蠶0巧,俱5短,順1煩,虎5鑒,躺0鹿)珍,尿z1=嶺1救0江,商z2=紅8綢是憂P塘a徹r注e恒t惜o鋼解謊。宮對(duì)呈應(yīng)慈于親D屑點(diǎn)寇。x1進(jìn)禁基掛，濤x3離猴基秀，黨z1會(huì)泉改圍善遍，素z2會(huì)賤變客差趴，梁回浸到顫P巖a燥r慨e止t鬼o按解搞C羨。x5進(jìn)現(xiàn)基醉，蛙x2離勝基建，物z1會(huì)擠變法差轎，軍z2會(huì)號(hào)變參差憤，身將糕回完到釣劣蹄解壟O絹。已叢搜以索腰到溪這鴉個(gè)炸多錯(cuò)目嶼標(biāo)軋規(guī)沾劃株的算所并有承P妨a腔r呈e替t毒o皮解飲B壤點(diǎn)怖，竿C警點(diǎn)商，督D束點(diǎn)畢。多捐目假標(biāo)研線罵性掙規(guī)濟(jì)劃卡單虜純兆形簡(jiǎn)表溝(在6鍛)m香a柜x臥z1=串3貧x1+適2飲x2m擺a奴x純z2=聰-拒x1+荒2餡x2s籌.勾t造.珍x1+浩x2≤骨62阿x1+徒x2≤忠1構(gòu)0x1+深2蘋(píng)x2≤董1域0x1，熟x2≥需0目攝標(biāo)脹函陵數(shù)傷線拴性芳加眠權(quán)促：z常=1z1+定2z20姓≤偵1,誓2≤倡11+患2＝無(wú)1由敘圖金解攏可仿以?shī)士礃?gòu)出喝，無(wú)加耽權(quán)小以嶼后霉的墾單厘目緞標(biāo)艦問(wèn)文題闖的遷最天優(yōu)左解畫(huà)必彩定業(yè)是資多會(huì)目浮標(biāo)岔規(guī)搏劃貿(mào)的沈一殖個(gè)臟P淹a引r莊e店t撥o褲解臣。543210瘦1嶼2粗3丸4吉5z2z11z1+2z2求帥解遭多下目恭標(biāo)靠線梅性論規(guī)與劃冶的常線視性困加曬權(quán)但法多妻目禮標(biāo)島的砌線露性蓮加麥權(quán)淹轉(zhuǎn)蟲(chóng)化咸為紗單虛目控標(biāo)溉規(guī)臨劃節(jié)問(wèn)赤題一惜、毒多批目杠標(biāo)醋規(guī)鑰劃彎轉(zhuǎn)猴化糟為注單鬼目斗標(biāo)貼規(guī)護(hù)劃甩問(wèn)駕題1退、唯評(píng)脊價(jià)刪函堅(jiān)數(shù)吐法F娛(阻X風(fēng))們=懲U彩{洗f1(寸X脖)雖，循f2(慨X族)抽，柔…沈，搶fK(勝X賤)錢(qián)}將煙多攜目珠標(biāo)悔規(guī)掙劃政問(wèn)身題洪轉(zhuǎn)掠化謠為村單胸目鋼標(biāo)附規(guī)局劃占問(wèn)刊題危。槳最竟簡(jiǎn)京單息的手評(píng)村價(jià)湖函橫數(shù)屑是德線迷性顆加算權(quán)質(zhì)。線慶性離加燒權(quán)炸法F義(灣X戒)飲=1f1(泊X汪)眾+盈2f2(吵X聰)艷+得…粘…鑰+思KfK(權(quán)X夠)其刮中站0困≤圍1，2，由…，K≤倍1趣，旋稱莫為草目娃標(biāo)貸權(quán)旱重粒。面積(m2）單價(jià)（元/m2）朝向地段樓層住房A2004800南丙四層住房B1805500西甲七層住房C1504000東乙三層例回1禍：董住弊房趟選報(bào)擇臥（茂決勢(shì)策墾空煌間他是給離器散逆的尊）確腦定屋各衛(wèi)目炊標(biāo)應(yīng)最界理脫想春和件最洪不課理蹦想監(jiān)的應(yīng)值線，泡將資各斑目鬼標(biāo)瓜進(jìn)形行呈歸井一結(jié)化欄處閃理盲。勸最范理飛想謹(jǐn)?shù)哪[值常為份1譽(yù)，校最諷不很理吩想旬的辣值邁為閣0廢，躁將催各狼決料策辦方價(jià)案貫的愈實(shí)代際減目殘標(biāo)狗值剃轉(zhuǎn)查化翠為交0葉～誰(shuí)1漢之劣間艙的間值完。面積（m2）單價(jià)（元/m2）朝向地段樓層最好200(1.0)3000(1.0)南(1.0)甲(1.0)三層(1.0)最差75(0.0)6000(0.0)北(0.0)丁(0.0)一層(0.0)實(shí)際指標(biāo)A2004800南丙四層B1805500西甲七層C1504000東乙三層歸一化A1.00.4001.00.40.9B0.840.1670.41.00.6C0.600.6670.70.71.0確沒(méi)定站各惱目夜標(biāo)即的富權(quán)剛重設(shè)姑目厘標(biāo)偷重管要施性控由釣大構(gòu)到戶小倉(cāng)依炊次春為嫂：置單睜價(jià)角—遵面按積蠅—挑地叉段疼—站朝狐向叫—顯樓快層魄確餃定著目刑標(biāo)菌權(quán)懲重1+捕2+遵3+漫4+幕5=尸1普，策1戴>洞1>嘩2>夜3>武4>億5>猴0計(jì)馬算謊各目方誘案澇的疫評(píng)開(kāi)價(jià)萌指脊標(biāo)革F降(虜X波)銷=示反4fi(箱X釋)慚，談評(píng)閣價(jià)左指勵(lì)標(biāo)寺最附高昌的立為酷最宜優(yōu)雅決賤策滑。例族如同，藍(lán)設(shè)旬五拼個(gè)丸目瞎標(biāo)借的勇權(quán)著重親分合別喪為隨：面積（m2）單價(jià)（元/m2）朝向地段樓層目標(biāo)權(quán)重0.250.30.150.20.1面積（m2）單價(jià)（元/m2）朝向地段樓層評(píng)價(jià)值目標(biāo)權(quán)重0.250.30.150.20.1住房A1.00.4001.00.40.90.690住房B0.840.1670.41.00.60.580住房C0.600.6670.70.71.00.695*住房A2004800南丙四層住房B1805500西甲七層住房C1504000東乙三層根夕據(jù)宴評(píng)嗚價(jià)亂值韻，繩選日擇男住招房攏C喪是亦最香優(yōu)天決局策測(cè)。擔(dān)線膏性程加寄權(quán)刷法刃的慢缺襲點(diǎn)骨是顧各掠目替標(biāo)盾的憐權(quán)魄重當(dāng)完鄭全欲由抬主處觀扣確坡定砌，曠而愁權(quán)貨重咬的嘩選議取防對(duì)四決望策撕結(jié)愿果簡(jiǎn)起營(yíng)著棉十牧分鄉(xiāng)豐關(guān)翻鍵偷的屋作超用陸。優(yōu)窗點(diǎn)方牧便描直碑觀安，溪簡(jiǎn)帥單軋易貍行可察以平利驗(yàn)用伯豐培富蔑的扇單磚目誓標(biāo)答決吹策賀方重法觸和狀軟稱件缺膜點(diǎn)權(quán)沃重決的受確報(bào)定枕完砍全騎靠短決遇策乳者駛主喉觀僑判嘗斷對(duì)佩不裳同吊量半綱骨的腥目醬標(biāo)闖，架合燦成耗以肯后倦的豆目做標(biāo)壤實(shí)尸際飄意顛義扒不再明線貫性晚加繼權(quán)籍法作的啦優(yōu)瘋?cè)逼颤c(diǎn)層兩次朵分違析摧法材（駕A鼓H棗P邀）層扯次誰(shuí)分翼析拘法昆是械由邁T湯.忙L蒸.贏S好a津a是t四y友提應(yīng)出請(qǐng)的捎一養(yǎng)種起確火定再多脾目霞標(biāo)送決培策蹤蝶中侍各禁目沖標(biāo)億的盜權(quán)妹重爆的呀方旱法讓，泉不料僅愧在勿多杰目拴標(biāo)榴決手策賞中歉有甜重尾要袋作朗用辛，器在色管傷理舉以合外槍的闊其個(gè)它充學(xué)答科拉也接有糕許砍多奶應(yīng)趴用富。在肆多筐目念標(biāo)損決彼策斜中卸，港各晉目推標(biāo)齡的禽權(quán)舒重盜對(duì)掌分當(dāng)析勺結(jié)術(shù)果余具嶺有粘重顆要憂影及響丹，醒但耕權(quán)米重惡的行確嗓定村比伯較吵困弟難濱。井層遭次嫌分忌析蜓法霧的肯基沒(méi)礎(chǔ)須是芽目耍標(biāo)準(zhǔn)的搭分相層才和附對(duì)弄同還一酒層貌次姜的側(cè)各美目河標(biāo)華的妨重針要宜性賭進(jìn)唐行泰兩換兩蕩比腥較掃，儀使仿確僻定駱各雹目捐標(biāo)土的食權(quán)脾重狹的算任襯務(wù)共具血有熱可太操專作斃性昆。矩續(xù)陣蹤蝶的佛特飼征分向崇量浸和產(chǎn)特腐征岡根設(shè)顆A剪是蹈n瞇×傷n投非駛奇信異傳的塔矩隱陣粒，港如怎果艷存溫在企一卷個(gè)糊實(shí)褲數(shù)民偷0談和搭一惡個(gè)甩n密×崇1值的墨非砌零蓬向傘量煤V子，所滿略足籍A靠V份=咱漫V蓄，乖則較稱全V營(yíng)為途矩丟陣攔A逐的嗓特販征詞向梯量孤，創(chuàng)暴為磁矩蘭陣肆A頑的江一義個(gè)家特司征皇根挽。由翁線佩性爺代芬數(shù)隊(duì)可敞知緒，丹方樸程襯組丸A斃V培=買(mǎi)V胳即鄙(氣A淋-救牲I標(biāo))僚V促=踏0臣有出非姻零猶解務(wù)的謊條該件砌是行系召數(shù)工行窯列圾式丸|爽A早-錘儀I殼|喚=殃0坊。姻其銳中膛I稀為銅單恰位泰矩尚陣招。例鉛如展稻開(kāi)凡行鮮列幣式(篇-蔑4播-自須)靜(鋸3喇-吊阿)比+嗎1織0驚=軌0折，芹2＋濾醬－歲2體＝辱0求駱解棵二漫次窯方獄程陵，廳得不到鍵矩碧陣擠的滅特其征色根1＝斬1曲，螞2＝醫(yī)－磚2對(duì)姥于大高壺階算矩距陣派，護(hù)用棚行炮列帝式壞計(jì)之算圍特顏征樓根折需翠要莫求贊解杰高抵次摸方錦程蚊，鮮計(jì)節(jié)算捆比膚較胸復(fù)甘雜尖，慚可柴以霜采蘿用袖疊顫代策法話。矩賄陣筐特將征直根文的伴計(jì)燥算判投斷參矩喘陣耳特殘征澡向窩量壺和生特留征滲根青的絞疊鍵代葉算費(fèi)法任職取烏一肯個(gè)撫初掏始慎n誓×狂1敘向扮量計(jì)巷算已惜經(jīng)淡收鎮(zhèn)斂筒。敬因伍此紡判爸?jǐn)嘀匕蜿囨i的合特偽征守向悅量并偏且m滲a殖x=扁1特瞧征犯向斑量爺為求瘡特洞征零向?yàn)榱拷团烟赝谡髅さ腻懡泼{方撿法將土每駕一售列桑相門(mén)加攻，賞得牢到鳴：特眉征覽向蹤蝶量翁為歸搏一處化層籃次爐分趙析膛法怒原生理顯侮然釣，牛n便個(gè)夕物貍體溉歸懲一刊化斬重?cái)懒繕又€和碧等格于加1杰。如煮果喚已同知科這望n修個(gè)踩物費(fèi)體河總堪量峽兩港兩符比信較育的吸值低，查能洋否蜻求阿出沿它芹們查（往歸柿一貼化阿）監(jiān)的員重鍵量始？設(shè)篩n槽個(gè)哀物沒(méi)體澆，縱重團(tuán)量辱分金別恐為首w1，糕w2，配…顫，夾wn，些總滴重魄量視為將杰每礦一競(jìng)個(gè)壇物府體化的醬重搬量假除殖以非n悠個(gè)分物園體濤的逐總磚重請(qǐng)量霸稱驕為甲這列個(gè)荷物屢體獲的呼“副歸勒一喬化催”霜重尚量耗。設(shè)末n秘個(gè)舌物尺體劑重勝量細(xì)的希兩錫兩酒比勾較見(jiàn)矩綢陣土如抖下例年如鎖，巧四池個(gè)械物直體灑的深重肺量窮為傘w1=納2劉,術(shù)w2=辯1糞,股w3=盛3芝,胳w4=懼4垃（輔公胞斤鈔）它響們稱的絲式總饒重萬(wàn)量怪W雞=困1稼0保公態(tài)斤四及個(gè)壤物套體身兩面兩攀比微較住的漲判鼓斷裳矩射陣踩為這況個(gè)敗矩累陣譯具別有委以麗下罪特鎮(zhèn)點(diǎn)再：對(duì)尺角躲線睛上弟的公元向素ai滔i=形1孩（安i牢=懇1異,罵2嶺,桌…境,膝n荒）以誤對(duì)籌角灶線與對(duì)圾稱綁的印元丙素踩互界為狼倒微數(shù)ai烏j=豬1辰/向aj框i（房誠(chéng)i默,敏j做=充1酒,況2盲,礎(chǔ)…稱,氧n黃）各稍物氏體宰之作間若的地相限對(duì)態(tài)重亡量心比貿(mào)值加是驚一皮致妻的ai駛j=微ai菜k/龍aj林k（拋i該,括j自=破1廢,美2占,糊…敏,雄n罷）n僚個(gè)堤物層體伶歸慘一星化州的墻重秒量籠組費(fèi)成池的躁向保量耐是賠判具斷朱矩回陣伏的頑一萌個(gè)坊特效征嫩向精量奇，剩對(duì)棍應(yīng)言的愉最也大顏特挨征片根m挽a熟x=喝n育。因澆此烤，奔只寨要酷給翁出覺(jué)判首斷丟矩?fù)潢噧桑n就轉(zhuǎn)可章以歡求腐出步n后個(gè)野物迅體界的座歸悼一浙化攪重浸量幼。同皂樣貿(mào)，雙在誘多較目情標(biāo)著決恭策仁中柄，飽如韻果罷能絲式給祥出蛛各皂目屋標(biāo)瓦重押要晶性觀兩標(biāo)兩隔比簽較辟的胳判留斷必矩觀陣股，嘉就轉(zhuǎn)可戰(zhàn)以椒求逆出莖這被些種目額標(biāo)畜（育歸襯一遠(yuǎn)化旱）奸的公相趕對(duì)郵重問(wèn)要裙性妻。設(shè)融目況標(biāo)毯C罷由融n饞個(gè)允元誼素誤A1，棄A2，雅…榴，命An組厲成雀，謎對(duì)膏這跨n辰個(gè)兔元枝素使相飲對(duì)設(shè)于妙目聚標(biāo)行C及的濕重架要飲性詳作肌兩仔兩議比爆較閣，膛構(gòu)電成防以裙下緞判草斷笨矩?zé)╆嚮冢篊A1A2…AnA1a11a12…a1nA2a21a22…a2n……………Anan1an2…annaij含義1元素i和元素j同等重要3元素i比元素j稍微重要5元素i比元素j明顯重要7元素i比元素j強(qiáng)烈重要9元素i比元素j絕對(duì)重要其棟中名ai耳j=赤1拒,澤2崗,迷3存,妨4跡,懶5耗,鏈6這,礎(chǔ)7揚(yáng),請(qǐng)8懇,僑9南以烘及辱1紛/喂2稈，株1既/謝3喜，劇1陸/機(jī)4血，逝1賊/本5細(xì)，田1徑/喝6晝，垃1碰/轉(zhuǎn)7悅，咽1損/遣8喊，軋1歪/撲9父。碑這票些凱數(shù)后字怕的遍含裝義雀為掩：數(shù)粗值啞2牛、凱4鉤、尊6畫(huà)、銳8調(diào)的殘意揭義揀介林于耐以秤上茅表俊格蚊相常鄰淡兩弟行癢的甘含求義君之稀間與喉物扒體娘的驗(yàn)重驅(qū)量湖之捷比萌不奴同秧，跑目駐標(biāo)秧的沾重適要甚性杯判答斷邁矩校陣信可稈能聰是銜不疲一齡致約（頁(yè)I騾n漸c握o啞n廳s逐i耳s縮慧t螞e菌n艦c紐奉y皆）跳的宿。廊即完可央能誦出知現(xiàn)幟A1比阻A2重欺要幅，枝A2比窯A3重旦要愈，至A3又暫比原A1重偏要硬這玻樣懲的蠅判利斷刊。竊如斤果晌不沙一億致恩性位在塌一州定這的牌范很圍如以積內(nèi)應(yīng)，妻判鎮(zhèn)斷匪矩維陣肆還抹是釀?dòng)袛_效冷的樓，委不佛一揭致驢性測(cè)超樸出耀一梯定化的聽(tīng)范屋圍澡，維判較斷圈矩期陣懂的謙有梅效臭性牌就妨有押?jiǎn)柼纛}挑。線讀性憑代都數(shù)店可后以?shī)首C斃明序，霜判饒斷樓矩率陣么的常不塌一女致驗(yàn)性輩可遭以罪由融矩?cái)y陣牛的榨最鞭大積特廈征散根m宰a特x表唱示化，惱當(dāng)準(zhǔn)判散斷縫矩澤陣尚完抬全窮一春致澤時(shí)沿，隊(duì)m股a戀x＝呢n慰，民不繪完秀全除一帝致利時(shí)辟，地m夫a孤x>赤n株，褲m之a(chǎn)籌x越涉大宰說(shuō)怖明恒不面一兩致機(jī)性寧越刷嚴(yán)她重負(fù)。單除層外次燙分案析險(xiǎn)法旬的雞步泛驟刊：構(gòu)貞造揚(yáng)組職成面目銜標(biāo)金各主元買(mǎi)素遵的賭重汗要倍性兄兩亂兩閣比乖較館判幫斷宋矩碑陣求傅解段判絮斷劉矩扯陣兼的升最饞大唉特救征礎(chǔ)根柳和來(lái)相飄應(yīng)鋼的閘特諸征搞向扯量判裙斷穩(wěn)矩史陣航的謊一外致膽性即檢易驗(yàn)槐（鬧C方o床n飄s召i盡s躍t息e湯n拾c聾y火T動(dòng)e登s芝t作）如楊果俘通貸過(guò)虜一旱致腹性留檢頸驗(yàn)嫂，灣得抄到秀的阿特證征闊向昆量終就蠶是用各綠元脈素站的扔權(quán)窩重n12345678910R.I.000.520.891.121.261.361.411.461.49n1112131415R.I.1.521.541.561.581.59層歷次改分礎(chǔ)析紹法浴步享驟2真、友計(jì)鼻算所平記均害隨悶機(jī)遍一疼致孤性剃指趕標(biāo)常R鋼.至I逆.喚（蜂R盛a旦n趣d寺o凡m瓶I向n勢(shì)d晚e至x鏡）況。污這房誠(chéng)個(gè)歲指吊標(biāo)晝是厚隨頁(yè)機(jī)妙產(chǎn)酷生涼的納不唇同子維懂?dāng)?shù)砌的糕判臟斷潤(rùn)矩田陣您的拉特豎征晌根祝的律平砌均叉值1美、即計(jì)焦算慕一緞致求性襖指擾標(biāo)猴C供.罷I皺.草（紙C湖o躬n俯s林i浴s貌t鼻e進(jìn)n飲c猴y便I臉n輕d滲e戶x幣）3叛、親計(jì)麥算討一植致錯(cuò)性面比牽例炭C帆.臺(tái)R美.寧（浴C糕o焦n景s響i閱s捕t墳e燭n織c綠y催R區(qū)a滲t章i淘o沫）當(dāng)柳C途.亮R乞.蹈<臺(tái)0醫(yī).躁1臺(tái)時(shí)結(jié)，矛認(rèn)虛為慈判閘斷樂(lè)矩訓(xùn)陣波的君一拴致珍性誼是因可描以塊接搜受塞的身。理只想攝的像住肝房A單價(jià)C1面積C2樓層C3地段C4朝向C5舒適B2經(jīng)濟(jì)B1便利B3建扎立融目曬標(biāo)甜的抖層劫次甲結(jié)娛構(gòu)對(duì)目標(biāo)A經(jīng)濟(jì)B1舒適B2便利B3經(jīng)濟(jì)B1137舒適B21/313便利B31/71/31單采層疫分臥析案：眉層孫次趣B部對(duì)桃目專標(biāo)賽A塵的給兩顆兩擁判座斷稈矩留陣?yán)硐氲淖》緼舒適B2經(jīng)濟(jì)B1便利B3計(jì)止算腸B失-間A章判手?jǐn)嗑志貜B陣要的才特常征決向藍(lán)量漿和囑特煎征夠根一攤致淺性鑄檢姜驗(yàn)層義次惱C董對(duì)偵目份標(biāo)懶B1的失兩退兩灰判席斷催矩沫陣經(jīng)院濟(jì)B1單蕩價(jià)C1面短積C2樓羞層C3地腫段C4朝幅向C5經(jīng)濟(jì)單價(jià)面積樓層地段朝向單價(jià)11517面積11517樓層1/51/511/53地段11519朝向1/71/71/31/91m哈a塌x=萄5押.逢1鋸2閱1員2C圾.魂I仆.綠=浪0檔.仍0纏3鐮0夠3R漏.紅I黎.路=妙1暫.恥1釋2C殖.咸R裹.既=栽0刪.節(jié)0蒜2串<奪0萍.頭1層殲次肉C清對(duì)匹目若標(biāo)盜B2的閥兩猶兩瘡判縱斷嘴矩度陣舒櫻適B2單脆價(jià)C1面廣積C2樓端層C3地巖段C4朝街向C5舒適單價(jià)面積樓層地段朝向單價(jià)11/71/31/51/3面積71515樓層31/511/35地段51315朝向31/51/51/51m凍a嶼x=螞5災(zāi).嶄6搞0C銜.蕉I戀.蝕=糖0駛.吸1技5R尋.真I仙.晝=咱1戲.扮1類2C造.產(chǎn)R速.壩=狹0填.快1昨3數(shù)>膨0貝.昆1層委次桂C炊對(duì)鬼目松標(biāo)薄B3的萌兩兵兩君判即斷撫矩狡陣便總利B3單腥價(jià)C1面詠積C2樓尺層C3地糾段C4朝愈向C5便利單價(jià)面積樓層地段朝向單價(jià)111/31/71面積111/31/71樓層3311/53地段77517朝向111/31/71m抖a擋x=榨5跳.傭0租8磁7C甩.折I栗.也=炸0終.祝0撞2謠2R宴.婦I樹(shù).須=驕1砌.墓1譯2C周.辭R匪.朋=玩0以.贈(zèng)0患1郊9牲<病0曲.岔1理責(zé)想腥的扛住員房A舒組適B2經(jīng)交濟(jì)B1便討利B3單射價(jià)C1面劍積C2樓據(jù)層C3地永段C4朝哨向C50懲.栗6吼5示40飯.多2泛5夾80快.碑0顆8期80余.層2牌8漲10厚.屢2井8挺10鞠.異0冬7趣30兆.炭5團(tuán)6陷7…舉.…栽.…喬.水.每將一借層責(zé)因黨素紡對(duì)銷上遠(yuǎn)一沒(méi)層歡因刊素筆的粱權(quán)國(guó)重B對(duì)A的權(quán)重經(jīng)濟(jì)(B1)舒適(B2)便利(B3)C對(duì)A的總權(quán)重權(quán)重排序0.6540.2580.088C對(duì)B的權(quán)重單價(jià)(C1)0.2810.0400.0730.201三面積(C2)0.2810.3790.0730.288二樓層(C3)0.0860.1900.2140.124四地段(C4)0.3180.2990.5670.335一朝向(C5)0.0320.0920.0730.051五計(jì)由算炊各冠底犁層呼因錢(qián)素趙對(duì)欠總緒目樣標(biāo)跨的氧權(quán)鉗重項(xiàng)目總權(quán)重樓房A樓房B樓房C單價(jià)C10.2010.40.1670.667面積C20.2881.00.840.6樓層C30.1240.90.61.0地段C40.3350.40.10.7朝向C50.0511.00.40.7總評(píng)分0.6650.4040.701計(jì)半算知各意決派策侵方稍案住的隨評(píng)慮分目鋒標(biāo)妥規(guī)疲劃朽（派G淡o宴a銜l振P廟r惠o握g曠r唯a說(shuō)m廉m穗i遇n貸g需）線調(diào)性咱規(guī)探劃粗是配一今種株應(yīng)涌用混非水常搭廣沒(méi)泛朗的舌優(yōu)旦化派模丈型拜，擴(kuò)但泥它塵也刺有都以息下辛明少顯阻的丙缺骨點(diǎn)藏：1削、深只黃能疏求匯解單渣目揪標(biāo)問(wèn)籃題古；2劍、編把約濱束扎條略件繡和潮目續(xù)標(biāo)份函得數(shù)作允為寺完構(gòu)全停不經(jīng)同茫的世概招念丘來(lái)睡處恰理形，走而揭在鈔實(shí)法際尾問(wèn)饑題雪中診，垂目蘿標(biāo)最函涉數(shù)扭和廣約訂束顫條鮮件等往蝕往鍬是搶可冤以裕互慎換版的踢，洲并紙沒(méi)令有廢嚴(yán)錦格抖的航區(qū)侵別棄。3門(mén)、約版束胡條厭件是剛徹性的，運(yùn)即蹲可管行平解傾必義須形在脆可寇行蒙域摘中曾。屯在繼一承些竊實(shí)軍際牧問(wèn)耽題電中咱，淚約顯束烤條創(chuàng)件量是歐可嗽以器突趟破蕩的嶺，見(jiàn)約畜束鹽條梳件括的屠右習(xí)邊叉常逝數(shù)濱并果不炕是恢變爺量現(xiàn)上形限太或辣下翻限晃，俯而皺是洗一喝個(gè)聞希辛望粱能艇夠調(diào)最灶接海近鋪的泥目除標(biāo)喇。4京、鴨如捷果約謹(jǐn)束席條檢件玻互劉不鏡相浩容，惠則矩線廚性瀉規(guī)樹(shù)劃踩無(wú)機(jī)可考行寺解拍。針澤對(duì)侵線道性幟規(guī)潔劃期的頃以撕上球缺本陷苗，動(dòng)A嚴(yán).還C蟻h烏a搖r洽n垮e(cuò)慕s鞋和國(guó)W蛛.咸C唉o遮o幫p廊e市r俱提簽出戒了辣目市標(biāo)氏規(guī)查劃識(shí)（隨G配o冠a罰l士P撞r克o勸g農(nóng)r殘a捉m血m糧i喇n垂g褲）旗，鳴這尺是盛一版種隨求致解賣多敵目屬標(biāo)予線并性地規(guī)并劃?rùn)C(jī)的講方無(wú)法謀。目潤(rùn)標(biāo)酬規(guī)盤(pán)劃港分饒為無(wú)私優(yōu)趟先笑級(jí)百的哨目獨(dú)標(biāo)演規(guī)壤劃和有沃優(yōu)荷先充級(jí)訴的姥目慘標(biāo)閣規(guī)腦劃。目練標(biāo)優(yōu)規(guī)受劃沃的扭圖杯解設(shè)蟲(chóng)線賣性粉規(guī)秤劃政問(wèn)臉題扮為m吹a鄙x攔z爸=撕2盞x1+仇3償x2s奧.靠t盛.今x1-辣x2≤黨1x1+威x2≥期2x2≤聲3x1，糠x2≥櫻001234321-1由投圖催解泛可醋知摘，饑線既性護(hù)規(guī)吵劃途的胳最若優(yōu)民解億為軌：x1=強(qiáng)4晝，此x2=灰3m鮮a孔x睬z格=希1叔7m冷i文n腳z散=胡n1+滅p1+犧n2+計(jì)p2+甘n3+仆p3+葉n4+仙p4s衰.哭t敵.副2嗽x1+弟3洪x2+由n1-暢p1=彎1揮2恩(啄1互)x1-餃x2+利n2-響p2=寺1吳(校2襪)x1+幕x2+割n3-之p3=他2叉(愚3計(jì))x2+螺n4-龜p4=砌3薦(母4虎)x1,舟x2,獵n1,蕉p1侵，n2,勒p2,彎n3,顛p3,保n4,捧p4≥堡0相湖應(yīng)叼的蒜目姑標(biāo)骨規(guī)差劃冠問(wèn)是題突為其常中拖p1、橫p2、嚼p3、鋸p4稱遭為趴正劍偏逢差給變紫量奔，喪n1、禍n2、業(yè)n3、精n4稱神為因負(fù)遠(yuǎn)偏里差胖變槳量六。一訊般泳形羊式基表蠶示寒為導(dǎo)：012344321-1p3=卻3n4=景12盼x1+纖3菌x2=翻1音2樹(shù)(泥1灰)x2=筑3患(臨4學(xué))x1-虹x2=攝1呀(制2擋)x1+助x2=鍵2孔(希3召)n1=繭4n2=傳2p3=答1n4=蝴1用致L括I記N晚D羊O少求晶解戰(zhàn)以夏上姜問(wèn)遭題欠，拼得辨到蔬目騰標(biāo)豎規(guī)露劃恥的陡最緒優(yōu)海解給為決：x1=切3逗，坐x2=喊2p1=脾0關(guān),館p2=受0愧,p3=體3,挺p4=跑0n1=纖0科,防n2=冠0背,戚n3=四0記,n4=母1m市i畝n餃z碑=醉4m篇i眨n退z耕=元n1+目p1+躍n2+艘p2+瞞n3+公p3+耀n4+撤p4s私.申t串.淋2進(jìn)x1+引3態(tài)x2+吹n1-耐p1=何1佛2冊(cè)(沉1敞)x1-慮x2+頁(yè)n2-敵p2=窯1岡(鍬2下)x1+排x2+秒n3-散p3=齡2著(請(qǐng)3邁)x2+雞n4-蔥p4=占3縣(粱4疫)x1,聞x2,災(zāi)ni,肚pi≥坦0產(chǎn)品A產(chǎn)品B產(chǎn)品C條件利潤(rùn)（萬(wàn)元/噸）941總利潤(rùn)最大化耗用原料（噸/噸）425耗用原料總量不超過(guò)38噸排放污染（m3/噸）213排放污染總量不超過(guò)26m3銷售價(jià)格（萬(wàn)元/噸）301020銷售總額不低于100萬(wàn)元總產(chǎn)量（噸）111總產(chǎn)量不低于18噸如今果據(jù)以辱利檔潤(rùn)和為軌目哪標(biāo)午函酬數(shù)敏，小線馳性概規(guī)陶劃妹模面型左為蕩：m忠a沈x指z帶=奔9度x1+麻4自x2+喪x3s如.處t偷.伶4列x1+賭2頑x2+筆5披x3≤蕩3高8岡（科1帥）騰原效料逢總炮量漏約艇束2階x1+邀x2+盤(pán)3候x3≤歪2敘6悶（續(xù)2捷）武排喬放澇污螞染挎約搞束3貴0跨x1+布1劣0蠶x2+滅2裁0漢x3≥禾1重0桐0鴨（躺3川）扎銷蛋售桶總托額涼約頁(yè)束x1+扒x2+匠x3≥與1根8辱（動(dòng)4壟）從總代產(chǎn)英量礎(chǔ)約繡束x1,薯x2,凳x3≥班0目標(biāo)產(chǎn)品A產(chǎn)品B產(chǎn)品C目標(biāo)的理想值正偏差變量負(fù)偏差變量利潤(rùn)（萬(wàn)元/噸）94177p1n1耗用原料（噸/噸）42538p2n2排放污染（m3/噸）21326p3n3銷售價(jià)格（萬(wàn)元/噸）301020100p4n4總產(chǎn)量（噸）11118p5n5如皇果姓將切利劫潤(rùn)俱、階耗圾用頁(yè)原痕料賄等畜五騾個(gè)套因霉素匙作凡為表目摔標(biāo)片，蟻確夜定友各鋪目絡(luò)標(biāo)棉的嘩理撇想頭值域以驕及山偏軍差愛(ài)變扣量籠如燒下境：如襖果勺目酷標(biāo)助大晌于羞理愛(ài)想許值況，聾正曠偏友差挑變罪量釣大比于材0景，論小遼于少理嗽想霸值窯，銷負(fù)擦偏酸差遵變凍量圾大狀于銳0類。劑因廉此壓，知對(duì)散第騙i剃個(gè)顛目近標(biāo)幣，裁有如麗果賠各青目叔標(biāo)簽無(wú)肯優(yōu)繪先叛級(jí)賊，過(guò)要毯使牙所語(yǔ)有放的剩目粥標(biāo)卵總著偏森差油最潤(rùn)小弟，遭即目活標(biāo)述規(guī)輝劃控的橫模籌型壺為子：對(duì)淋于殿每運(yùn)一券個(gè)壘目時(shí)標(biāo)徐，葵正草偏黎差捉變鄰量敵和充負(fù)惹偏展差孤變績(jī)量劈燕在串系法數(shù)貞矩夫陣盜中菜的等列佛向襯量瞧是嶼兩屬個(gè)捎相懇同克的雁單細(xì)位校向溝量京，瓶是醋線束性淚相新關(guān)微的訴，忌不麗可榨能解同勺時(shí)鍬出繳現(xiàn)斯在革基唉矩簽陣眨中略，渠因邀此違，晴以陸上臺(tái)問(wèn)土題慮的乳任忽何輪一生個(gè)劃基刮礎(chǔ)坡可初行雜解癢，芒同強(qiáng)一郊個(gè)怨目匹標(biāo)儉的用正至負(fù)磁偏哥差新變落量池，扁不發(fā)可恥能燒兩課個(gè)混同挎時(shí)穴大落于傻0票。遭這謝一鹽結(jié)鍋果輸?shù)膲緦?shí)悟際響意庫(kù)義霧也緒是般很玩清李楚撤的蛇：輛任血何異一學(xué)個(gè)虛目哭標(biāo)馳，喉不顛可繪能償既悟大既于館理臟想歐值蹤蝶，票又殊小燈于管理沃想岔值凱。產(chǎn)品A產(chǎn)品B產(chǎn)品C目標(biāo)的理想值正偏差變量負(fù)偏差變量產(chǎn)量（噸）0100RHSpini達(dá)到的目標(biāo)值利潤(rùn)（萬(wàn)元）4077037耗用原料（噸）3038018排放污染（m3）1026016銷售價(jià)格（萬(wàn)元）10010000總產(chǎn)量（噸）101808用旋單沒(méi)純嫩形廳法譽(yù)，出得針到倦目拔標(biāo)渾規(guī)柔劃幻玉的乎最藏優(yōu)搏解擔(dān)、治各載目籃標(biāo)暫的數(shù)值類以倡及引偏撞差街變奴量附的姓值最猴優(yōu)孤解目半標(biāo)業(yè)值偏敞差象變洲量目根標(biāo)貧規(guī)滾劃照的到特章點(diǎn)可段以吧求詢解鍛多謎目?jī)x標(biāo)巡壽問(wèn)坑題悔。雁克旋服畜了嘗線胳性煉規(guī)墳劃濾只偽能做求多解他單巾目蒼標(biāo)阻的識(shí)缺凡點(diǎn)討。用液目擦標(biāo)甲（想G隙o柿a往l共）怒的牌概潤(rùn)念浩取駱代茄了孤線貴性春規(guī)攏劃這中冊(cè)的迎“創(chuàng)約謠束霞條買(mǎi)件擦”廈，窯用姑偏占離抱各絮目繭標(biāo)躍的叫總駁偏倒差紫最富小看取善代數(shù)了汽線括性罰規(guī)鬼劃近中找的關(guān)目借標(biāo)河函名數(shù)渠，王消典除壺了貞線令性賓規(guī)槐劃談中徒目戚標(biāo)咽函竿數(shù)銷和纖約填束員條臺(tái)件攤的剖對(duì)昨