A company is remodeling its plant and installing a new ventilation system. The possible ducts connecting the different rooms and buildings at the plant, with the length (in feet) along each branch, are shown in the following network: 140 210 110 170 130 80 90 260 3 5 120 70 190 230 1 10 160 Determine the ventilation system that will connect the various rooms and buildings of the plant, using the minimum number of feet of ductwork, and indicate how many feet of ductwork will be used. You do not have to use Excel to solve this problem. In your answer, identify the overall length of the ductwork along with the selected branches on a diagram. You may highlight the branches selected via text and/or diagram.