A university is constructing a new campus and the developers want to connect all the facilities in the campus with a biking-walking path that will minimize the amount of concrete pathway that will have to be built.  The following network shows the possible connecting paths between the facilities: For this network, the distance (in 100 ft increments) between nodes is given in the diagram, and in the table below.  Branch Distance1-2 (A) 21-4 (B) 233-6 (C) 6The length of the pathways that will connect all the facilities with the minimum amount of pathway construction is: (Remember the units are 100ft.  So, for instance, the distance between node 1 and 3 is 600 ft.)

The following network shows the possible routes from a distribution center (Node 1) to stores in eight locations:For this network, the distance (in miles) between nodes is given in the diagram, and in the table below.  Branch Distance1-2 (A) 31-4 (B) 213-6 (C) 8The shortest route distance from Node 1 to Node 8, in miles, is:

Have the function ShortestPath(strArr) take strArr which will be an array of strings which models a non-looping Graph. The structure of the array will be as follows: The first element in the array will be the number of nodes N (points) in the array as a string. The next N elements will be the nodes which can be anything (A, B, C .. Brick Street, Main Street .. etc.). Then after the Nth element, the rest of the elements in the array will be the connections between all of the nodes. They will look like this: (A-B, B-C .. Brick Street-Main Street .. etc.). Although, there may exist no connections at all.An example of strArr may be: ["4","A","B","C","D","A-B","B-D","B-C","C-D"]. Your program should return the shortest path from the first Node to the last Node in the array separated by dashes. So in the example above the output should be A-B-D. Here is another example with strArr being ["7","A","B","C","D","E","F","G","A-B","A-E","B-C","C-D","D-F","E-D","F-G"]. The output for this array should be A-E-D-F-G. There will only ever be one shortest path for the array. If no path between the first and last node exists, return -1. The array will at minimum have two nodes. Also, the connection A-B for example, means that A can get to B and B can get to A.

Network nodes represent junction points connecting branches.Group of answer choicesTrueFalse

A construction project is modeled by the activity network given below. The activities are represented by the arcs and the numbers in brackets on each arc represents the time (in days) to complete the activity. Each activity requires one worker. The project is to be completed in the shortest time.I. Using the network provided, calculate the earliest time and latest time for each activity. [8]II. State the critical activities and identify the critical path(s). [3]III. Find the total float of activities D and F. You must show your working. [3]IV. Explain why it is important for a project manager to use float in project management? [3]

Which network model is used to identify the shortest branch from the origin node to each node in a network?Group of answer choicesshortest routetransshipmentminimal spanning treemixed integermaximal flow