Sandalo Petroleum Refineries, Inc. (SPR) produces petroleum at plants in Vermont and Edward Island. Refined petroleum products are shipped by rail to SPR's warehouses in San Diego and New York and then distributed to regional distributors in Connecticut, Sacramento, Denver and Dallas. The two warehouses can also transfer small quantities between themselves using company trucks. The task is to plan SPR's distribution over the next month. Each plant can ship up to 3300 barrels during this period and none are presently in Connecticut, Sacramento, Denver and Dallas. Connecticut, Sacramento, Denver and Dallas distributors require 2400, 1200, 1400 and 1600 barrels respectively. Transfers between warehouses are limited to 40 Barrels but no cost is charged. The network flow diagram is given below. Network Flow Diagram (Click to open an MS Word file in a new window)Unit costs (cij) of the flow (Fij) on arc (i, j) are detailed in the following tables: From To 3. SanDiego 4. New York 1. Vermont 13 21 2. Edward 18 11 From To 5. Connecticut 6. Sacramento 7. Denver 8.Dallas 3. SanDiego 8 41 3 4. New York 12 29 Question - The flow constraint at Denver may be written as: O F37-F47= 1400 o +F38+F48= -1600 O -F37+F43=1400 F38-F48= 1600 F38-F45= 1400 w 5210510Qz3Soin (Compatibility Model - Microsoft Word Filo Hone Brugt Page Layout References EN Puter Gridlines Print Fun Screen Web Outline Draft Layout Reading Layout Navigation Pane Document view Show Mikings Review View Acrobat M w One Page 1 Tw Pages Zoom 100% New Arrange Split Page Width Window All Zoom Visit by mchronous scrolling Switch e Re Window Position Windows Window MCO 5 Vermont San Diego Connecticut 1 3 6 Sacramento 2 4 7 Edward New York Denver 8 Dallas start Blockboard Lan.. W [ 5210510023Son Co... 2009 11:35 AM Question - Which of the following represents the objective function? 0 Min. 13F31+21F41+8F32+11F42+8F53+41F63+3F73+7F83+12F54+7F64+29F74+2F84 O Min. F13+F14+F23+F24+F35+F36+F37+F38+F45+F46+F47+F48 Min. 11F13+8F14 +21F23+13F24+8F35+41F36+3F37+7F38+12F45+7F46+29F47+2F45 Min. 13F13+21F14 +8F23+11F24+8F35+41F36+3F37+7F38+12F45+7F46+29F47+2F48 None of the above Sandalo Petroleum Refineries, Inc. (SPR) produces petroleum at plants in Vermont and Edward Island. Refined petroleum products are shipped by rail to SPR's warehouses in San Diego and New York and then distributed to regional distributors in Connecticut, Sacramento, Denver and Dallas. The two warehouses can also transfer small quantities between themselves using company trucks. The task is to plan SPR's distribution over the next month. Each plant can ship up to 3300 barrels during this period and none are presently in Connecticut, Sacramento, Denver and Dallas. Connecticut, Sacramento, Denver and Dallas distributors require 2400, 1200, 1400 and 1600 barrels respectively. Transfers between warehouses are limited to 40 Barrels but no cost is charged. The network flow diagram is given below. Network Flow Diagram (Click to open an MS Word file in a new window)Unit costs (cij) of the flow (Fij) on arc (i, j) are detailed in the following tables: From To 3. SanDiego 4. New York 1. Vermont 13 21 2. Edward 18 11 From To 5. Connecticut 6. Sacramento 7. Denver 8.Dallas 3. SanDiego 8 41 3 4. New York 12 29 Question - The flow constraint at Denver may be written as: O F37-F47= 1400 o +F38+F48= -1600 O -F37+F43=1400 F38-F48= 1600 F38-F45= 1400 w 5210510Qz3Soin (Compatibility Model - Microsoft Word Filo Hone Brugt Page Layout References EN Puter Gridlines Print Fun Screen Web Outline Draft Layout Reading Layout Navigation Pane Document view Show Mikings Review View Acrobat M w One Page 1 Tw Pages Zoom 100% New Arrange Split Page Width Window All Zoom Visit by mchronous scrolling Switch e Re Window Position Windows Window MCO 5 Vermont San Diego Connecticut 1 3 6 Sacramento 2 4 7 Edward New York Denver 8 Dallas start Blockboard Lan.. W [ 5210510023Son Co... 2009 11:35 AM Question - Which of the following represents the objective function? 0 Min. 13F31+21F41+8F32+11F42+8F53+41F63+3F73+7F83+12F54+7F64+29F74+2F84 O Min. F13+F14+F23+F24+F35+F36+F37+F38+F45+F46+F47+F48 Min. 11F13+8F14 +21F23+13F24+8F35+41F36+3F37+7F38+12F45+7F46+29F47+2F45 Min. 13F13+21F14 +8F23+11F24+8F35+41F36+3F37+7F38+12F45+7F46+29F47+2F48 None of the above
