Sunco Oil wants to ship the maximum amount of oil (per hour) via pipeline from node 0 to node 4 in the following figure. On its way from node 0 to 4 , oil must pass through some or all stations 1,2 , and 3 . The various ares represent pipelines of different diameters. The maximum number of barrels of oil (millions of barrels per hour) that can be pumped through each arc is shown for each are in the figure. Each number is called an are capacity. Formulate an LP model (objective function and the constraints) and use LINDO to find the maximum number of barrels of oil per hour from Node 0 to Node 4. Show all work for full credit Sunco Oil wants to ship the maximum amount of oil (per hour) via pipeline from node 0 to node 4 in the following figure. On its way from node 0 to 4 , oil must pass through some or all stations 1,2 , and 3 . The various ares represent pipelines of different diameters. The maximum number of barrels of oil (millions of barrels per hour) that can be pumped through each arc is shown for each are in the figure. Each number is called an are capacity. Formulate an LP model (objective function and the constraints) and use LINDO to find the maximum number of barrels of oil per hour from Node 0 to Node 4. Show all work for full credit