$280$

Chapter $6$

$2.$ Consider Table $6-2.$ All duration estimates or estimated times are in days, and the network proceeds from Node $1$ to Node $9.($Note that you can easily change this table to create multiple exercises.$)$

TABLE $6-2$ Network diagram data for a small project

$\backslash$table$[[$Activity$,$Initial Node,Final Node,Estimated Duration$],[,1,2,2],[B,2,3,2],[$C$,2,4,3],[D,2,5,4],[E,3,6,2],[$F$,4,6,3],[$G$,5,7,6],[H,6,8,2],[$I$,6,7,5],[$J$,7,8,1],[$K$,8,9,2]]$

a$.$ Draw an AOA network diagram representing the project. Put the node numbers in circtes and draw arrows from node to node, labeling each arrow with the activity letter and estimated time.

b$.$ Identify all of the paths on the network diagram and note how long they are, using Figuref as a guide for how to represent each path.

c$.$ What is the critical path for this project and how long is it$?$

d$.$ What is the shortest possible time needed to complete this project?