Example: Green Valley Mills produces carpet at plants in St. Louis and Richmond. The carpet is then shipped to two outlets, located in Chicago and Atlanta. The cost per ton of shipping carpet from each of the two plants to the two warehouses is as follows: To (cost) From Chicago Atlanta St. Louis $40 $65 Richmond 70 30 The plant at St. Louis can supply 250 tons of carpet per week; the plant at Richmond can supply 400 tons per week The Chicago outlet has a demand of 300 tons per week, and the outlet at Atlanta demands 350 tons per week. The company wants to know the number of tons of carpet to ship from each plant to each outlet in order to minimize the total shipping cost. Solve this transportation problem. This time again, pareho lang japon ang available nga supply kag ang gina-demand. In this case, ang total nga supply is 250 + 400 = 650. Ang demand is also 300 + 350 = 650. To interpret this again, dapat tanan nga available nga pwede i-supply i-paggwa gid. ] Solution (again, ang origin is number; ang destination is letter): 1. Chicago 2. Richmond A. Chicago B. Atlanta Minimize Z = $40XIA + $65xIm + $70%zA + $30%2m Constraints: XIA + XID = 250 (constraint ni sa supply) X24 + X21 = 400 XIA + X34 - 300 (ari ya constraint ni sa demand) Xin + Xin = 350 x 20 (constraint nga indi ka pwede ka produce a negative unit. Bruh it's impossible)1. The supply is greater than the demand, buot silingon, may sobra sa supply. Ti may cases nga indi pwede pag-i-release tanan nga supply kay magutok na to karon sa storehouses sang mga ma-receive kay malapaw sa ila capacity. Halimbawa, namahaw kamo nga tatlo sang friends mo siomai sa isa ka foodcourt. Ang inyo plano baklon is 8 siomais kada isa sa inyo/ 24 tanan. Presently, may duha (2) ka stores nga ang kada isa may 20 siomais available for sale. In total, 40 siomais. Apparently, indi kamo ma-baligyaan 24 siomais sa isa lang ka store kay 20 lang kaya sang kada isa. At maximum, 20 siomais lang ila mabaligya. Kung nakabaligya na ang other store sang 20 siomais, 4 na lang ang mabaligya sang isa. Or, pwede man 12 ang ibaligya sang isa, 12 man ang isa. Or 10 sa isa, 14 sa isa. Ang point diri is, ang kada store maka-baligya lang 20 or less. Supply constraint: Store A to Friend 1 + Store A to Friend 2 + Store A to You $ 20 Store B to Friend 1 + Store B to Friend 2 + Store B to You $ 20 Si Store A pwede ka baligya sa inyo nga tatio pero ang total lang nga pwede ya i-baligya is 20 siomais. Amo man si B. This is why s aton ginagamit. Demand Constraint: Store A to Friend 1 + Store B to Friend 1 = 8 Store A to Friend 2 + Store B to Friend 2 = 8 Store A to Friend 3 + Store B to Friend 3 = 8 Di bala want nio 8 siomais? Pwede ka maka-bakal isa kay A kag pito kay B, or 2 kay A 2. The supply is lesser than the demand. In this case, it is possible naman ya nga ang mareceive sang mga storehouses is lesser than their capacities. Halimbawa, namahaw kamo nga tatlo sang friends mo siomai sa isa ka foodcourt. Ang inyo plano baklon is 8 siomais kada isa sa inyo/ 24 tanan. Presently, may duha (2) ka stores nga ang kada isa may 10 siomais available for sale. In total, 20 siomais. Supply Constraints Store A to Friend 1 + Store A to Friend 2 + Store A to You = 10 Store B to Friend 1 + Store B to Friend 2 + Store B to You = 10 Ma = ta di kay ang demand in total was 24, so as much as possible we release our total supply kay 20 lang. Demand Constraints Store A to Friend 1 + Store B to Friend I s 8 Store A to Friend 2 + Store B to Friend 2 s 8 Store A to Friend 3 + Store B to Friend 3 $ 8 So, at maximum, 20 lang mabakal nio nga siomais. Sad. May kulang nga apat ka siomais and may ma-suffer gid eh. Example: Siomai Siomai Siomai Siomai Siomai or idk basta 8 or less. Correct? Friend A 8 8 Friend B VA Ikaw1. Please prepare the models for this: A transportation problem involves the following costs, supply, and demand: To (cost) From - 2 3 4 Supply $500 $750 $300 $450 12 W N - 650 800 400 600 17 400 700 500 550 11 Demand 10 10 10 10 2. Please prepare the models for this:To (cost) From 2 W Supply A $ 6 $ J $ 4 100 B 180 5 7 200 Demand 135 175 170 3. Please prepare the models for this: To (cost) From 2 3 Supply $ 6 $100 130 B 12 5 70 4 11 100 Demand 80 110 60