经济定量分析

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1、练习：1．All-StarBatManufacturing,Inc.,suppliesbaseballbatstomajorandminorleaguebaseballteams.AfteraninitialorderinJanuary,demandoverthe6-monthbaseballseasonisapproximatelyconstantat2000batspermonth.Assumingthatthebatproductionprocesscanhandleupto5000batspermonth,holdingcostshaveamonthlyrateof1%,

2、thebatproductionsetupcostsare$50persetup,andthattheproductioncostis$10perbat.Whatproductionlotsizewouldyourecommendtomeetthedemandduringthebaseballseason?A=2000bats,B=5000bats，k=$50,h=$0.01,c=$10(bats)Theoptimalproductionquantityis1826bats.FeasibleregionOptimalsolution2x1+3x2=0x1+3x2=20x1+x2=

3、10-2x1-x2=-16Theoptimalsolutionis(5,5).Andthecorrespondingvalueis25.Theoptimalsolutionis(15/4,3/4).Andthecorrespondingvalueis33/4.WPW1W2W3W4CapacityP141468P2226110P337514Demand6763①Gettingstarted：TheVogel’sapproximationruleWarehousePlantW1W2W3W4CapacityP14174168P226264110P33751134Demand6763②F

4、indingtheenteringcell:Rowandcolumnnumbers0140WarehousePlantW1W2W3W4CapacityP104417-41+668P22262+-164-1-110P31327551134Demand6763③Findingthenewsolution:Theclosed-looppathandfindingtheenteringcell:Rowandcolumnnumbers1140WarehousePlantW1W2W3W4CapacityP10431345668P212624611010P31317551134Demand67

5、63Alltheimprovementdifferenceisnotpositiveshowninthistable,sothesolutionistheoptimalsolutiontothetransportationproblem.Thetotalcostofthisshipmentscheduleiscomputedtobe51.WarehousePlantW1W2W3W4CapacityP141241116P22103910P38511622P400002Demand1014121450①Gettingstarted：TheVogel’sapproximationrul

6、eWarehousePlantW1W2W3W4CapacityP141241211416P22101030910P38514116822P4000022Demand1014121450②Findingtheenteringcell:Rowandcolumnnumbers310411WarehousePlantW1W2W3W4CapacityP1041122412+114-16P2-121010130-9+-110P3-581051411126822P4-11080107022Demand1014121450③Findingthenewsolution:Theclosed-loop

7、pathandfindingtheenteringcell:Rowandcolumnnumbers410411WarehousePlantW1W2W3W4CapacityP104012241211416P2-2210102319010P3-58951411126822P4-11070107022Demand1014121450Alltheimprovementdifferenceispositiveshowninthistable,sothesolutionistheoptima