一家巧克力制造商正在生产两个特别版盒一个金色银色the chocolate box problem问题.pptx

Achocolatemanufacturerisproducingtwospecialeditionchocolateboxes,oneGoldandoneSilver.ThetimetakentoproducethechocolateforaGoldboxis30minutes,and20minutesforaSilverBoxThetimetakentopackagetheGoldboxis12minutesand15minutesfortheSilverboxThechocolatemakingteamareavailablefor300hoursandthepackagingteam200hoursTheGoldboxgetssoldataprofitof80pandtheSilverBox60p.TopromotetheexclusivityoftheGoldbox,themanufacturerhastomakeatleasttwiceasmanyoftheSilverboxes(bothhavetobemade)TheChocolateBoxProblem

BoxTypeProduce(mins)Package(mins)Gold(x)Silver(y)HoursAvailable1)CompletethetableCreate3inequalitiestorepresentthetimelimitationsandproductionconstraintsGraphtheinequalitiesandshowtheregionwhichissatisfiedbyallCreateanequationfortheprofitWhereinthefeasibleregionistheprofitthehighest?(testwholenumbersolutionsnearthevertices)2)=Whatquantityofeachboxshouldthecompanyproducetomaximiseprofit(tonearest100boxes)

BoxTypeProduce(mins)Package(mins)Gold(x)3012Silver(y)2015HoursAvailable300200TimeLimitations:(1)(2)ProductionConstraints:(3)Solution:-ProductionTeam 30x+20y≤18000 3x+2y≤1800-PackagingTeam 12x+15y≤12000 4x+5y≤4000y≥2x

xy080010000xy090060008004002004002001000600yx6008001000???Graphtheinequalities:(1)(2)(3)FeasibleRegion

Whereistheprofitthehighest?(P=0.8x+0.6y)8004002004002001000600yx6008001000(100,700)(200,500)P=￡500P=￡460-100Goldboxesand700Silverboxes

BoxTypeProduce(mins)Package(mins)Gold(x)3012Silver(y)2015HoursAvailable300200Answers:a)3x+2y≤18004x+5y≤4000y≥2xd) P=0.8x+0.6yc) 100Gold,700Silver

8004002004002001000600yx6008001000b)