運(yùn)籌學(xué)課程設(shè)計(jì)-機(jī)械加工廠生產(chǎn)

./課程設(shè)計(jì)報(bào)告課程設(shè)計(jì)類別運(yùn)籌學(xué)學(xué)院經(jīng)濟(jì)管理學(xué)院專業(yè)信息管理與信息系統(tǒng)班級(jí)姓名學(xué)號(hào)指導(dǎo)教師20xx05月03目錄一、模型構(gòu)造31.1變量設(shè)置31.2模型構(gòu)建3單期模型31.2.2多期模型5二、LINDO模型和求解結(jié)果72.1、LINDO模型72.2、LINDO求解結(jié)果13三、最優(yōu)生產(chǎn)－庫(kù)存－銷售量、設(shè)備利用和檢修等相關(guān)因素的說(shuō)明和分析233.1生產(chǎn)量、銷售量、銷售上限和庫(kù)存量表233.2生產(chǎn)線的能力分析23四、問(wèn)題分析25一、模型構(gòu)造1.1變量設(shè)置設(shè)產(chǎn)品M〔manufactures〕產(chǎn)量O〔output〕庫(kù)存量ST〔stocks〕銷售量SV〔salesvolume〕利潤(rùn)P〔profit〕。1—6月份7種產(chǎn)品的產(chǎn)量、庫(kù)存量和銷售量分別在組合代號(hào)后面加1—6表示。如一月份產(chǎn)品1的產(chǎn)量的表示：MO11。6個(gè)月每月每種產(chǎn)品的產(chǎn)量,共42個(gè)變量。MO11MO21MO31MO41MO51MO61MO71MO12MO22MO32MO42MO52MO62MO72MO13MO23MO33MO43MO53MO63MO73MO14MO24MO34MO44MO54MO64MO74MO15MO25MO35MO45MO55MO65MO75MO16MO26MO36MO46MO56MO66MO766個(gè)月每月每種產(chǎn)品的庫(kù)存量,共42個(gè)變量。MST11MST21MST31MST41MST51MST61MST71MST12MST22MST32MST42MST52MST62MST72MST13MST23MST33MST43MST53MST63MST73MST14MST24MST34MST44MST54MST64MST74MST15MST25MST35MST45MST55MST65MST75MST16MST26MST36MST46MST56MST66MST766個(gè)月每月每種產(chǎn)品的銷售量,共42個(gè)變量。MSV11MSV21MSV31MSV41MSV51MSV61MSV71MSV12MSV22MSV32MSV42MSV52MSV62MSV72MSV13MSV23MSV33MSV43MSV53MSV63MSV73MSV14MSV24MSV34MSV44MSV54MSV64MSV74MSV15MSV25MSV35MSV45MSV55MSV65MSV75MSV16MSV26MSV36MSV46MSV56MSV66MSV76六個(gè)月的7中產(chǎn)品最大利潤(rùn)為P這樣,一共有3×42+1=127個(gè)變量。1.2模型構(gòu)建這個(gè)問(wèn)題的建模可以分為兩步,首先建立單期問(wèn)題模型,然后建立多期問(wèn)題模型。單期模型工廠每天開兩班,每班8小時(shí),為簡(jiǎn)單計(jì),假定每月都工作24天。則一個(gè)月的總工作時(shí)間為24×8×2=384小時(shí)。由設(shè)備檢修計(jì)劃表,我們可得設(shè)備每個(gè)月可以供工作的時(shí)間〔單位：小時(shí)〕為：月份123456磨床384×3384×4384×4384×4384×3384×4立鉆384×2384×0384×2384×1384×1384×2水平鉆384×3384×3384×3384×3384×3384×2鏜床384×1384×1384×0384×1384×1384×1刨床384×1384×1384×1384×1384×1384×0以一月份的模型為例,如果原料油沒(méi)有庫(kù)存,一月份的采購(gòu)量和耗用量相等,生產(chǎn)計(jì)劃線性規(guī)劃模型如下,其中有5個(gè)約束條件：產(chǎn)品1產(chǎn)品2產(chǎn)品3產(chǎn)品4產(chǎn)品5產(chǎn)品6產(chǎn)品7利潤(rùn)maM8SV11+6MSV21+3MSV31+4MSV41+MSV51+9MSV61+3MSV71-0.5MST11-0.5MST21-0.5MST31-0.5MST41-0.5MST51-0.5MST61-0.5MST71磨床工時(shí)約束s.t.0.50MO11+0.70MO21+0.30MO51+0.20MO61+0.50MO71≤1152立鉆工時(shí)約束0.10MO11+2.00MO21+0.30MO41+0.60MO61≤768水平鉆工時(shí)約束0.20MO11+6.00MO21+0.80MO31+0.60MO71≤1152鏜床工時(shí)約束0.05MO11+0.03MO21+0.07MO41+0.10MO51+0.07O71≤384刨床工時(shí)約束0.01MO31+0.05MO51+0.05MO71≤384變量非負(fù)約束MO11MO21MO31MO41MO51MO61MO710二月份的生產(chǎn)計(jì)劃模型與以上模型的結(jié)構(gòu)完全相同,不同的是模型中的變量全部換成7種油二月份的產(chǎn)量,目標(biāo)函數(shù)中7種產(chǎn)品銷售量換成二月份的。二月份的生產(chǎn)計(jì)劃模型如下,其中有5個(gè)約束條件：產(chǎn)品1產(chǎn)品2產(chǎn)品3產(chǎn)品4產(chǎn)品5產(chǎn)品6產(chǎn)品7利潤(rùn)maM8MSV12+6MSV22+3MSV32+4MSV42+MSV52+9MSV62+3MSV72-0.5MST12-0.5MST22-0.5MST32-0.5MST42-0.5MST52-0.5MST62-0.5MST72磨床工時(shí)約束s.t.0.50MO12+0.70MO22+0.30MO52+0.20MO62+0.50MO72≤1536立鉆工時(shí)約束0.10MO12+2.00MO22+0.30MO42+0.60MO62≤384水平鉆工時(shí)約束0.20MO12+6.00MO22+0.80MO32+0.60MO72≤1152鏜床工時(shí)約束0.05MO12+0.03MO22+0.07MO42+0.10MO52+0.07O72≤384刨床工時(shí)約束0.01MO32+0.05MO52+0.05MO72≤384變量非負(fù)約束MO12,MO22,MO32,MO42,MO52,MO62,MO720………類似地,可以分別建立三月份、四月份、五月份和六月份的生產(chǎn)計(jì)劃線性規(guī)劃模型。六月份的生產(chǎn)計(jì)劃模型如下：產(chǎn)品1產(chǎn)品2產(chǎn)品3產(chǎn)品4產(chǎn)品5產(chǎn)品6產(chǎn)品7利潤(rùn)maM10MSV16+6MSV26+3MSV36+4MSV46+MSV56+9MSV66+3MSV76-0.5MST16-0.5MST26-0.5MST36-0.5MST46-0.5MST56-0.5MST66-0.5MST76磨床工時(shí)約束s.t.0.50MO16+0.70MO26+0.30MO56+0.20MO66+0.50MO76≤1536立鉆工時(shí)約束0.10MO16+2.00MO26+0.30MO46+0.60MO66≤768水平鉆工時(shí)約束0.20MO16+6.00MO26+0.80MO36+0.60MO76≤786鏜床工時(shí)約束0.05MO16+0.03MO26+0.07MO46+0.10MO56+0.07O76≤384刨床工時(shí)約束0.01MO36+0.05MO56+0.05MO76≤0變量非負(fù)約束MO16,MO26,MO36,MO46,MO56,MO66,MO760以上6個(gè)單期模型,共有30約束條件。多期模型以上6個(gè)單期模型中,目標(biāo)函數(shù)中的變量是當(dāng)月各個(gè)產(chǎn)品的銷售量和庫(kù)存,而約束條件中的變量是當(dāng)月各個(gè)產(chǎn)品的產(chǎn)量。但根據(jù)題意,每一種產(chǎn)品上月末的庫(kù)存量,本月的產(chǎn)量,本月銷售量,本月末庫(kù)存量有以下關(guān)系：〔上月末庫(kù)存量〕+〔本月生產(chǎn)量〕-〔本月銷售量〕-〔本月末庫(kù)存量〕=0對(duì)于一月份,有：〔一月份生產(chǎn)量〕-〔一月份銷售量〕-〔一月末庫(kù)存量〕=0對(duì)于六月份,有：〔五月末倉(cāng)庫(kù)量〕+〔六月份生產(chǎn)量〕-〔六月份銷售量〕=50用以上的變量代號(hào)表示,產(chǎn)品1,一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：MO11-MSV11-MST11=0MST11+MO12-MSV12-MST12=0MST12+MO13-MSV13-MST13=0MST13+MO14-MSV14-MST14=0MST14+MO15-MSV15-MST15=0MST15+MO16-MSV16=50產(chǎn)品2,一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：MO21-MSV21-MST21=0MST21+MO22-MSV22-MST22=0MST22+MO23-MSV23-MST23=0MST23+MO24-MSV24-MST24=0MST24+MO25-MSV25-MST25=0MST25+MO26-MSV26=50產(chǎn)品3,一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：MO31-MSV31-MST31=0MST31+MO32-MSV32-MST32=0MST32+MO33-MSV33-MST33=0MST33+MO34-MSV34-MST34=0MST34+MO35-MSV35-MST35=0MST35+MO36-MSV36=50產(chǎn)品4,一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：MO41-MSV41-MST41=0MST41+MO42-MSV42-MST42=0MST42+MO43-MSV43-MST43=0MST43+MO44-MSV44-MST44=0MST44+MO45-MSV45-MST45=0MST45+MO46-MSV46=50產(chǎn)品5,一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：MO51-MSV51-MST51=0MST51+MO52-MSV52-MST52=0MST52+MO53-MSV53-MST53=0MST53+MO54-MSV54-MST54=0MST54+MO55-MSV55-MST55=0MST55+MO56-MSV56=50產(chǎn)品6,一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：MO61-MSV61-MST61=0MST61+MO62-MSV62-MST62=0MST62+MO63-MSV63-MST63=0MST63+MO64-MSV64-MST64=0MST64+MO65-MSV65-MST65=0MST65+MO66-MSV66=50產(chǎn)品7,一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：MO71-MSV71-MST71=0MST71+MO72-MSV72-MST72=0MST72+MO73-MSV73-MST73=0MST73+MO74-MSV74-MST74=0MST74+MO75-MSV75-MST75=0MST75+MO76-MSV76=50其中6月份各種產(chǎn)品：MST16=50,MST26=50,MST36=50,MST46=50,MST56=50,MST66=50,MST76=50以上7組反映7種不同的產(chǎn)品從一月到六月的生產(chǎn)量、銷售量、庫(kù)存量之間平衡關(guān)系的約束稱為耦合約束。以上7組耦合約束條件共有7×6=42個(gè),連同6個(gè)月單期模型的30個(gè)約束條件,總體模型共有72個(gè)約束條件。由于每個(gè)月各種產(chǎn)品的銷售量上限的限制,銷售變量的上界約束要42個(gè)。變量的上界限制在實(shí)際問(wèn)題中一般不用約束條件表示,在LINDO中有為變量設(shè)定上界的語(yǔ)句。形式為： SUB 變量名 上界值所以,銷售量上界約束如下：.SUBMSV11500

SUBMSV12600

SUBMSV13300

SUBMSV14200

SUBMSV150

SUBMSV16500SUBMSV211000

SUBMSV22500

SUBMSV23600

SUBMSV24300

SUBMSV25100

SUBMSV26500SUBMSV31400

SUBMSV32200

SUBMSV330

SUBMSV34400

SUBMSV35500

SUBMSV36100SUBMSV41300

SUBMSV420

SUBMSV430SUBMSV44500

SUBMSV45100

SUBMSV46300SUBMSV51800

SUBMSV52400

SUBMSV53500

SUBMSV54200

SUBMSV55900

SUBMSV561000SUBMSV61200

SUBMSV62300

SUBMSV63400

SUBMSV640

SUBMSV65300

SUBMSV66500SUBMSV71100

SUBMSV72150

SUBMSV73100

SUBMSV74100

SUBMSV750

SUBMSV7660.庫(kù)存量的上限約束如下：.SUBMST11100SUBMST12100SUBMST13100SUBMST14100SUBMST15100SUBMST16100SUBMST21100SUBMST22100SUBMST23100SUBMST24100SUBMST25100SUBMST26100SUBMST31100SUBMST32100SUBMST33100SUBMST34100SUBMST35100SUBMST36100SUBMST41100SUBMST42100SUBMST43100SUBMST44100SUBMST45100SUBMST46100SUBMST51100SUBMST52100SUBMST53100SUBMST54100SUBMST55100SUBMST56100SUBMST61100SUBMST62100SUBMST63100SUBMST64100SUBMST65100SUBMST66100SUBMST71100SUBMST72100SUBMST73100SUBMST74100SUBMST75100SUBMST76100.二、LINDO模型和求解結(jié)果2.1、LINDO模型maxst!!一月份磨床的生產(chǎn)能力約束〔JAN-MC〕!一月份立鉆的生產(chǎn)能力約束〔JAN-LZ〕!一月份水平鉆的生產(chǎn)能力約束〔JAN-SZ〕!一月份鏜床的生產(chǎn)能力約束〔JAN-TC〕!一月份刨床的生產(chǎn)能力約束〔JAN-BC〕JAN-MC>0.5MO11+0.7MO21+0.3MO51+0.2MO61+0.5MO71<=1152JAN-LC>0.1MO11+2MO21+0.3MO41+0.6MO61<=768JAN-SZ>0.20MO11+6MO21+0.8MO31+0.6MO71<=1152JAN-TC>0.05MO11+0.03MO21+0.07MO41+0.1MO51+0.07MO71<=384JAN-BC>0.01MO31+0.05MO51+0.05MO71<=384!!二月份磨床的生產(chǎn)能力約束〔FEB-MC〕!二月份立鉆的生產(chǎn)能力約束〔FEB-LZ〕!二月份水平鉆的生產(chǎn)能力約束〔FEB-SZ〕!二月份鏜床的生產(chǎn)能力約束〔FEB-TC〕!二月份刨床的生產(chǎn)能力約束〔FEB-BC〕FEB-MC>0.5MO12+0.7MO22+0.3MO52+0.2MO62+0.5MO72<=1536FEB-LC>0.1MO12+2MO22+0.3MO42+0.6MO62<=384FEB-SZ>0.20MO12+6MO22+0.8MO32+0.6MO72<=1152FEB-TC>0.05MO12+0.03MO22+0.07MO42+0.1MO52+0.07MO72<=384FEB-BC>0.01MO32+0.05MO52+0.05MO72<=384!!三月份磨床的生產(chǎn)能力約束〔MAR-MC〕!三月份立鉆的生產(chǎn)能力約束〔MAR-LZ〕!三月份水平鉆的生產(chǎn)能力約束〔MAR-SZ〕!三月份鏜床的生產(chǎn)能力約束〔MAR-TC〕!三月份刨床的生產(chǎn)能力約束〔MAR-BC〕MAR-MC>0.5MO13+0.7MO23+0.3MO53+0.2MO63+0.5MO73<=1536MAR-LC>0.1MO13+2MO23+0.3MO43+0.6MO63<=768MAR-SZ>0.20MO13+6MO23+0.8MO33+0.6MO73<=1152MAR-TC>0.05MO13+0.03MO23+0.07MO43+0.1MO53+0.07MO73<=0MAR-BC>0.01MO33+0.05MO53+0.05MO73<=384!!四月份磨床的生產(chǎn)能力約束〔APR-MC〕!四月份立鉆的生產(chǎn)能力約束〔APR-LZ〕!四月份水平鉆的生產(chǎn)能力約束〔APR-SZ〕!四月份鏜床的生產(chǎn)能力約束〔APR-TC〕!四月份刨床的生產(chǎn)能力約束〔APR-BC〕APR-MC>0.5MO14+0.7MO24+0.3MO54+0.2MO64+0.5MO74<=1536APR-LC>0.1MO14+2MO24+0.3MO44+0.6MO64<=384APR-SZ>0.20MO14+6MO24+0.8MO34+0.6MO74<=1152APR-TC>0.05MO14+0.03MO24+0.07MO44+0.1MO54+0.07MO74<=384APR-BC>0.01MO34+0.05MO54+0.05MO74<=384!!五月份磨床的生產(chǎn)能力約束〔MAY-MC〕!五月份立鉆的生產(chǎn)能力約束〔MAY-LZ〕!五月份水平鉆的生產(chǎn)能力約束〔MAY-SZ〕!五月份鏜床的生產(chǎn)能力約束〔MAY-TC〕!五月份刨床的生產(chǎn)能力約束〔MAY-BC〕MAY-MC>0.5MO15+0.7MO25+0.3MO55+0.2MO65+0.5MO75<=1152MAY-LC>0.1MO15+2MO25+0.3MO45+0.6MO65<=384MAY-SZ>0.20MO15+6MO25+0.8MO35+0.6MO75<=1152MAY-TC>0.05MO15+0.03MO25+0.07MO45+0.1MO55+0.07MO75<=384MAY-BC>0.01MO35+0.05MO55+0.05MO75<=384!!六月份磨床的生產(chǎn)能力約束〔JUN-MC〕!六月份立鉆的生產(chǎn)能力約束〔JUN-LZ〕!六月份水平鉆的生產(chǎn)能力約束〔JUN-SZ〕!六月份鏜床的生產(chǎn)能力約束〔JUN-TC〕!六月份刨床的生產(chǎn)能力約束〔JUN-BC〕JUN-MC>0.5MO16+0.7MO26+0.3MO56+0.2MO66+0.5MO76<=1536JUN-LC>0.1MO16+2MO26+0.3MO46+0.6MO66<=768JUN-SZ>0.20MO16+6MO26+0.8MO36+0.6MO76<=768JUN-TC>0.05MO16+0.03MO26+0.07MO46+0.1MO56+0.07MO76<=384JUN-BC>0.01MO36+0.05MO56+0.05MO76<=0!!第一種產(chǎn)品X1一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：M1-JAN>MO11-MST11-MSV11=0M1-FEB>MST11+MO12-MST12-MSV12=0M1-MAR>MST12+MO13-MST13-MSV13=0M1-APR>MST13+MO14-MST14-MSV14=0M1-MAY>MST14+MO15-MST15-MSV15=0M1-JUN>MST15+MO16-MSV16-MST16=0!!第二種產(chǎn)品X2一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：M2-JAN>MO21-MST21-MSV21=0M2-FEB>MST21+MO22-MST22-MSV22=0M2-MAR>MST22+MO23-MST23-MSV23=0M2-APR>MST23+MO24-MST24-MSV24=0M2-MAY>MST24+MO25-MST25-MSV25=0M2-JUN>MST25+MO26-MSV26-MST26=0!!第三種產(chǎn)品X3一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：M3-JAN>MO31-MST31-MSV31=0M3-FEB>MST31+MO32-MST32-MSV32=0M3-MAR>MST32+MO33-MST33-MSV33=0M3-APR>MST33+MO34-MST34-MSV34=0M3-MAY>MST34+MO35-MST35-MSV35=0M3-JUN>MST35+MO36-MSV36-MST36=0!!第四種產(chǎn)品X4一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：M4-JAN>MO41-MST41-MSV41=0M4-FEB>MST41+MO42-MST42-MSV42=0M4-MAR>MST42+MO43-MST43-MSV43=0M4-APR>MST43+MO44-MST44-MSV44=0M4-MAY>MST44+MO45-MST45-MSV45=0M4-JUN>MST45+MO46-MSV46-MST46=0!!第五種產(chǎn)品X5一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：M5-JAN>MO51-MST51-MSV51=0M5-FEB>MST51+MO52-MST52-MSV52=0M5-MAR>MST52+MO53-MST53-MSV53=0M5-APR>MST53+MO54-MST54-MSV54=0M5-MAY>MST54+MO55-MST55-MSV55=0M5-JUN>MST55+MO56-MSV56-MST56=0!!第六種產(chǎn)品X6一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：M6-JAN>MO61-MST61-MSV61=0M6-FEB>MST61+MO62-MST62-MSV62=0M6-MAR>MST62+MO63-MST63-MSV63=0M6-APR>MST63+MO64-MST64-MSV64=0M6-MAY>MST64+MO65-MST65-MSV65=0M6-JUN>MST65+MO66-MSV66-MST66=0!!第七種產(chǎn)品X7一月份到六月份的生產(chǎn)量、銷售量和庫(kù)存量有以下約束：M7-JAN>MO71-MST71-MSV71=0M7-FEB>MST71+MO72-MST72-MSV72=0M7-MAR>MST72+MO73-MST73-MSV73=0M7-APR>MST73+MO74-MST74-MSV74=0M7-MAY>MST74+MO75-MST75-MSV75=0M7-JUN>MST75+MO76-MSV76-MST76=0MST16=50MST26=50MST36=50MST46=50MST56=50MST66=50MST76=50end!期末銷售量約束SUBMSV11500SUBMSV12600SUBMSV13300SUBMSV14200SUBMSV150SUBMSV16500SUBMSV211000SUBMSV22500SUBMSV23600SUBMSV24300SUBMSV25100SUBMSV26500SUBMSV31400SUBMSV32200SUBMSV330SUBMSV34400SUBMSV35500SUBMSV36100SUBMSV41300SUBMSV420SUBMSV430SUBMSV44500SUBMSV45100SUBMSV46300SUBMSV51800SUBMSV52400SUBMSV53500SUBMSV54200SUBMSV55900SUBMSV561000SUBMSV61200SUBMSV62300SUBMSV63400SUBMSV640SUBMSV65300SUBMSV66500SUBMSV71100SUBMSV72150SUBMSV73100SUBMSV74100SUBMSV750SUBMSV7660!!存儲(chǔ)量的上限約束SUBMST11100SUBMST12100SUBMST13100SUBMST14100SUBMST15100SUBMST16100SUBMST21100SUBMST22100SUBMST23100SUBMST24100SUBMST25100SUBMST26100SUBMST31100SUBMST32100SUBMST33100SUBMST34100SUBMST35100SUBMST36100SUBMST41100SUBMST42100SUBMST43100SUBMST44100SUBMST45100SUBMST46100SUBMST51100SUBMST52100SUBMST53100SUBMST54100SUBMST55100SUBMST56100SUBMST61100SUBMST62100SUBMST63100SUBMST64100SUBMST65100SUBMST66100SUBMST71100SUBMST72100SUBMST73100SUBMST74100SUBMST75100SUBMST761002.2、LINDO求解結(jié)果LPOPTIMUMFOUNDATSTEP1OBJECTIVEFUNCTIONVALUE1>46190.00VARIABLEVALUEREDUCEDCOSTMSV11500.000000-7.800000MSV21112.0000000.000000MSV31400.000000-2.200000MSV41300.000000-4.000000MSV51800.000000-1.000000MSV61200.000000-9.000000MSV71100.000000-2.400000MST110.0000000.400000MST210.0000000.500000MST310.0000001.300000MST410.0000000.500000MST510.0000000.500000MST61100.000000-1.300000MST710.0000001.100000MSV12600.000000-7.700000MSV2297.0000000.000000MSV32200.000000-3.000000MSV420.000000-4.000000MSV52400.000000-1.000000MSV62300.000000-7.200000MSV72150.000000-3.000000MST12100.000000-7.200000MST220.0000000.500000MST320.0000001.000000MST420.0000000.100000MST52100.000000-0.500000MST620.0000002.300000MST72100.0000000.000000MSV13100.0000000.000000MSV230.0000000.000000MSV330.000000-3.500000MSV430.000000-3.600000MSV53100.0000000.000000MSV63400.000000-9.000000MSV73100.000000-2.500000MST130.0000008.200000MST230.0000000.500000MST330.0000000.000000MST430.0000000.000000MST530.0000001.500000MST6346.6666680.000000MST730.0000001.000000MSV14200.000000-7.700000MSV24107.0000000.000000MSV34400.000000-3.000000MSV44500.000000-3.100000MSV54200.000000-1.000000MSV640.000000-8.500000MSV74100.000000-3.000000MST140.0000000.800000MST240.0000001.000000MST340.0000000.211111MST440.0000000.900000MST540.0000000.500000MST6446.6666680.000000MST740.0000000.283333MSV150.000000-8.000000MSV25100.000000-0.500000MSV35500.000000-2.711111MSV45100.000000-3.500000MSV55900.000000-1.000000MSV65300.000000-8.000000MSV750.000000-2.783333MST150.0000000.300000MST251.0000000.000000MST35100.000000-2.211111MST450.0000001.000000MST55100.000000-0.500000MST650.0000001.500000MST75100.000000-2.283333MSV16500.000000-7.800000MSV2660.6666680.000000MSV3650.0000000.000000MSV46300.000000-4.000000MSV5650.0000000.000000MSV66500.000000-9.000000MSV7660.000000-2.283333MST1650.0000000.000000MST2650.0000000.000000MST3650.0000000.000000MST4650.0000000.000000MST5650.0000000.000000MST6650.0000000.000000MST7650.0000000.000000MO11500.0000000.000000MO21112.0000000.000000MO51800.0000000.000000MO61300.0000000.000000MO71100.0000000.000000MO41300.0000000.000000MO31400.0000000.000000MO12700.0000000.000000MO2297.0000000.000000MO52500.0000000.000000MO62200.0000000.000000MO72250.0000000.000000MO420.0000000.900000MO32200.0000000.000000MO130.0000002.000000MO230.0000000.000000MO530.00000019.000000MO63446.6666560.000000MO730.00000013.500000MO430.00000013.600000MO330.0000000.500000MO14200.0000000.000000MO24107.0000000.000000MO54200.0000000.000000MO640.0000001.300000MO74100.0000000.000000MO44500.0000000.000000MO34400.0000000.000000MO150.0000000.238889MO25101.0000000.000000MO551000.0000000.000000MO65253.3333280.000000MO75110.0000000.000000MO45100.0000000.000000MO35600.0000000.000000MO16550.0000000.000000MO26109.6666640.000000MO560.00000010.000000MO66550.0000000.000000MO760.00000010.883333MO46350.0000000.000000MO360.0000000.000000ROWSLACKORSURPLUSDUALPRICESJAN-MC>473.6000060.000000JAN-LC>224.0000000.000000JAN-SZ>0.0000001.000000JAN-TC>247.6399990.000000JAN-BC>335.0000000.000000FEB-MC>803.0999760.000000FEB-LC>0.0000003.000000FEB-SZ>120.0000000.000000FEB-TC>278.5899960.000000FEB-BC>344.5000000.000000MAR-MC>1446.6666260.000000MAR-LC>500.0000000.000000MAR-SZ>1152.0000000.000000MAR-TC>0.000000200.000000MAR-BC>384.0000000.000000APR-MC>1251.0999760.000000APR-LC>0.0000003.000000APR-SZ>90.0000000.000000APR-TC>308.7900090.000000APR-BC>365.0000000.000000MAY-MC>675.6333620.000000MAY-LC>0.0000001.666667MAY-SZ>0.0000000.361111MAY-TC>266.2699890.000000MAY-BC>322.5000000.000000JUN-MC>1074.2332760.000000JUN-LC>58.6666680.000000JUN-SZ>0.0000001.000000JUN-TC>328.7099910.000000JUN-BC>0.000000220.000000M1-JAN>0.000000-0.200000M1-FEB>0.000000-0.300000M1-MAR>0.000000-8.000000M1-APR>0.000000-0.300000M1-MAY>0.0000000.000000M1-JUN>0.000000-0.200000M2-JAN>0.000000-6.000000M2-FEB>0.000000-6.000000M2-MAR>0.000000-6.000000M2-APR>0.000000-6.000000M2-MAY>0.000000-5.500000M2-JUN>0.000000-6.000000M3-JAN>0.000000-0.800000M3-FEB>0.0000000.000000M3-MAR>0.0000000.500000M3-APR>0.0000000.000000M3-MAY>0.000000-0.288889M3-JUN>0.000000-3.000000M4-JAN>0.0000000.000000M4-FEB>0.0000000.000000M4-MAR>0.000000-0.400000M4-APR>0.000000-0.900000M4-MAY>0.000000-0.500000M4-JUN>0.0000000.000000M5-JAN>0.0000000.000000M5-FEB>0.0000000.000000M5-MAR>0.000000-1.000000M5-APR>0.0000000.000000M5-MAY>0.0000000.000000M5-JUN>0.000000-1.000000M6-JAN>0.0000000.000000M6-FEB>0.000000-1.800000M6-MAR>0.0000000.000000M6-APR>0.000000-0.500000M6-MAY>0.000000-1.000000M6-JUN>0.0000000.000000M7-JAN>0.000000-0.600000M7-FEB>0.0000000.000000M7-MAR>0.000000-0.500000M7-APR>0.0000000.000000M7-MAY>0.000000-0.216667M7-JUN>0.000000-0.71666774>0.000000-0.70000075>0.000000-6.50000076>0.000000-3.50000077>0.000000-0.50000078>0.000000-1.50000079>0.000000-0.50000080>0.000000-1.216667NO.ITERATIONS=1RANGESINWHICHTHEBASISISUNCHANGED:OBJVARIABLECURRENTALLOWABLEALLOWABLECOEFINCREASEDECREASEMSV118.000000INFINITY7.800000MSV216.00000016.5000000.500000MSV313.000000INFINITY2.200000MSV414.000000INFINITY4.000000MSV511.000000INFINITY1.000000MSV619.000000INFINITY9.000000MSV713.000000INFINITY2.400000MST11-0.5000000.400000INFINITYMST21-0.5000000.500000INFINITYMST31-0.5000001.300000INFINITYMST41-0.5000000.500000INFINITYMST51-0.5000000.500000INFINITYMST61-0.500000INFINITY1.300000MST71-0.5000001.100000INFINITYMSV128.000000INFINITY7.700000MSV226.0000000.5000000.500000MSV323.000000INFINITY3.000000MSV424.000000INFINITY4.000000MSV521.000000INFINITY1.000000MSV629.000000INFINITY7.200000MSV723.000000INFINITY3.000000MST12-0.500000INFINITY7.200000MST22-0.5000000.500000INFINITYMST32-0.5000001.000000INFINITYMST42-0.5000000.100000INFINITYMST52-0.500000INFINITY0.500000MST62-0.5000002.300000INFINITYMST72-0.5000001.0000002.500000MSV138.0000002.0000007.200000MSV236.0000000.5000000.500000MSV333.000000INFINITY3.500000MSV434.000000INFINITY3.600000MSV531.00000019.0000000.500000MSV639.000000INFINITY9.000000MSV733.000000INFINITY2.500000MST13-0.5000008.200000INFINITYMST23-0.5000000.500000INFINITYMST33-0.5000000.500000INFINITYMST43-0.5000000.100000INFINITYMST53-0.5000001.500000INFINITYMST63-0.5000000.4750000.650000MST73-0.5000001.000000INFINITYMSV148.000000INFINITY7.700000MSV246.0000000.5000001.000000MSV343.000000INFINITY3.000000MSV444.000000INFINITY3.100000MSV541.000000INFINITY1.000000MSV649.000000INFINITY8.500000MSV743.000000INFINITY3.000000MST14-0.5000000.800000INFINITYMST24-0.5000001.000000INFINITYMST34-0.5000000.211111INFINITYMST44-0.5000000.900000INFINITYMST54-0.5000000.500000INFINITYMST64-0.5000000.4750000.650000MST74-0.5000000.283333INFINITYMSV158.000000INFINITY8.000000MSV256.000000INFINITY0.500000MSV353.000000INFINITY2.711111MSV454.000000INFINITY3.500000MSV551.000000INFINITY1.000000MSV659.000000INFINITY8.000000MSV753.000000INFINITY2.783333MST15-0.5000000.300000INFINITYMST25-0.5000000.5000002.166667MST35-0.500000INFINITY2.211111MST45-0.5000001.000000INFINITYMST55-0.500000INFINITY0.500000MST65-0.5000001.500000INFINITYMST75-0.500000INFINITY2.283333MSV168.000000INFINITY7.800000MSV266.0000000.5000002.166667MSV363.000000INFINITY2.000000MSV464.000000INFINITY4.000000MSV561.00000010.0000000.500000MSV669.000000INFINITY9.000000MSV763.000000INFINITY2.283333MST16-0.500000INFINITYINFINITYMST26-0.500000INFINITYINFINITYMST36-0.500000INFINITYINFINITYMST46-0.500000INFINITYINFINITYMST56-0.500000INFINITYINFINITYMST66-0.500000INFINITYINFINITYMST76-0.500000INFINITYINFINITYMO110.0000000.4000007.800000MO210.00000016.5000006.000000MO510.0000000.5000001.000000MO610.000000INFINITY1.300000MO710.0000001.1000002.400000MO410.0000000.5000004.000000MO310.0000001.3000002.200000MO120.000000INFINITY0.400000MO220.0000008.0000004.333333MO520.000000INFINITY0.500000MO620.0000001.3000007.200000MO720.0000001.0000001.100000MO420.0000000.900000INFINITYMO320.0000001.0000001.300000MO130.0000002.000000INFINITYMO230.000000INFINITY1.200000MO530.00000019.000000INFINITYMO630.0000000.4750000.650000MO730.00000013.500000INFINITYMO430.00000013.600000INFINITYMO330.0000000.500000INFINITYMO140.0000000.8000007.700000MO240.0000000.6666674.333333MO540.0000000.5000001.000000MO640.0000001.300000INFINITYMO740.0000000.2833331.000000MO440.0000000.9000000.100000MO340.0000000.2111110.500000MO150.0000000.238889INFINITYMO250.0000001.5833332.166667MO550.