Question: help me solve this please A linoar programming correuter package is neoded. For example, Cabinetmaker 1 estimates it will take 50 hours to Qomplete al


A linoar programming correuter package is neoded. For example, Cabinetmaker 1 estimates it will take 50 hours to Qomplete al the ouk cabinets and 60 heurs to complete al the cherry cabinets. Howerms, cabinetinaker 1 anly has 40 . Cabinetimaker 1 can only complete 40/60=0.67, or 675 , of the cherfy cabinets if is worked only on cheiry catineti. (a) Formulate a linear programming model that can be used to determine the percentage of the cak cabinets and the percentage of the cherry cabinets that aheyeft be gien ta asi in the three cabinetrakers in order to minimize the total cost of completing both projects. (Let ot o percentage of ouk abinats assigned to cabinetmokar 1 o2 a perceitage of aak percentage of cherry cabinets assigned to cabinetmaker 2 . and CF = percentage of cherry cabinets assigned to cabinetmakee 3 .). sinln s.t. hours availabie 1 . (b) Solve the model formulated in part (a). What percentage of the oak cabinets and what percentage of the cherny cabinets shoulf be arsigned ta asiti caterntrater? whar is the total cost fin s) of comoletina both orofects? (Round your percentage values te one dedimal place.) (c) If cabinetmaker 1 has additional houes avaltatle, woudd the eptimal sohnken changer Deplain. Ves, wach additional hoor of time for catiratmaker 1 min reduce the total cout by s5 per bour. fio, catinetmakes i has a slack of 26.458 heurs, so increaing cabinetmaker Ila time wil not reduce cmita. (a) a cabiretmakec 2 has addition at heurs avallatie, would the copimal molutioh changet Eqiain. Yes, each asditional heur of time for cabinetmaker 2 eili redoce the lotal coit by 15 per hacer. No, cabinetmakm 2 Nas a slack of 33.5 beurs, so inereming cabinetmaker 2n time wia eot redixs coots. the new oblective functian coemcients for od and Cl are reapedivelh that ectimal matainn
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