LEGEND Xij = # of 1000 lb. loads from International 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, how much should be shipped on the route from Tokyo to Norfolk?
Author: Anonymous
Identify the constraint that requires if the Pine Forest Rd….
Identify the constraint that requires if the Pine Forest Rd. site is selected, then the Bayou Blvd. site must be selected; however, the Bayou Blvd. site may be selected without selecting the Pine Forest Rd. site. Also, both sites can be rejected.
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Identify #6.
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Silver Star Company Legend Xij = number of product i from s…
Silver Star Company Legend Xij = number of product i from source j, where i = 1 small 12 oz., 2 medium 16 oz., or 3 large 24 oz. j = 1 Plant 1, 2 Plant 2, 3 Plant 3, 4 Supplier Zj = 1 if source j is setup, 0 otherwise; where j = 1 Plant 1, 2 Plant 2, 3 Plant 3, 4 Supplier MAX 9X11+11X21+15X31+11X12+12X22+16X32+10X13+13X23+17X33+8X14+10X24+12X34-20000Z1 -30000Z2-25000Z3-2000Z4 S.T. 1) 3X11 + 4X21 + 5X31 – 80000Z1 ≤ 0 Plant 1 capacity (min); Plant 1 setup if used 2) 6X12 + 7X22 + 8X32 – 90000Z2 ≤ 0 Plant 2 capacity (min); Plant 2 setup if used 3) 6X13 + 5X23 + 4X33 – 80000Z3 ≤ 0 Plant 3 capacity (min); Plant 3 setup if used 4) 1X14 + 1X24 + 1X34 – 40000Z4 ≤ 0 Supplier capacity (bottles); Supplier setup if used 5) 1X11 + 1X12 + 1X13 + 1X14 = 18000 Demand for product 1 small 12 oz. bottles 6) 1X21 + 1X22 + 1X23 + 1X24 = 10000 Demand for product 2 medium 16 oz. bottles 7) 1X31 + 1X32 + 1X33 + 1X34 = 12000 Demand for product 3 large 24 oz. bottles 8) Xij ≥ 0 for all i,j Non-negativity 9) Zj =1 or 0 for all j Binary constraints Using the Silver Star output, which of the following constraints will meet demand despite medium 16 oz. bottle yields of only 95% at each of the plants 1, 2, and 3, as well as at the supplier?
Using the map below, match the city with its weather.
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