LEGEND  Xij = # of 1000 lb. loads from International port i…

Questions

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LEGEND  Xij = # оf 1000 lb. lоаds frоm Internаtionаl port i to US port j.   i=1=Tokyo;    j=4=Norfolk;      k=6=Houston                   Wjk = # of 1000 lb. loads from US port j to US DC k.                    2=Manilla;      5=Savanna;         7=Detroit                   Uik = # of 1000 lb. loads from International port i to US DC k.     3=Beijing;                                   8=Dayton MIN 420X14+610X15+510X24+470X25+450X34+400X35+390U38+75W46+90W47+81W48+68W56+82W57+95W58  S.T.1)  1X14 + 1X15 ≤ 95                                                                 Supply limit at Tokyo port (1000 lb loads)        2)  1X24 + 1X25 ≤ 60                                                                 Supply limit at Manilla port (1000 lb loads)        3)  1X34 + 1X35 + 1U38 ≤ 85                                                    Supply limit at Beijing port (1000 lb loads)        4)  1X14 + 1X24 + 1X34 – 1W46 – 1W47 – 1W48 = 0             Flow balance at Norfolk port (1000 lb loads)        5)  1X15 + 1X25 + 1X35 – 1W56 – 1W57 – 1W58 = 0             Flow balance at Savannah port (1000 lb loads)        6)  1W46 + 1W56 = 75                                                                Demand at Houston distribution center (1000 lb loads)        7)  1W47 + 1W57 = 80                                                                Demand at Detroit distribution center (1000 lb loads)        8)  1U38 + 1W48 + 1W58 = 65                                                   Demand at Dayton distribution center (1000 lb loads)        9)  1X25 ≤ 50                                                                                Manila to Savannah limit (1000 lb loads)       10)  1W48 ≥ 30                                                                              Norfolk to Dayton minimum (1000 lb loads)       11)  Xij ≥ 0 for all i,j                                                                      Non-negativity       12)  Wjk ≥ 0 for all j,k                                                                  Non-negativity       13)  Uik ≥ 0 for all i,k                                                       Non-negativity    Using the Polymers Inc, what are the total pounds of polymers shipped from Manilla?