\begin{tabular}{lcc} \hline Activity & Duration (weeks) & Predecessors \\ \hline A Hire workers & 33 & None \\ B Install equipment & 13 & None \\ C Order materials & 13 & None \\ D Test equipment & 15 & B \\ E Train workers & 10 & A, B \\ F Run pilot tests & 9 & C, D \\ \hline \end{tabular} a. Identify all the paths through the network and their lengths. Fill in the table below (enter your responses as whole numbers). Activities "start" at least one path. Activities "end" at least one path. How will those activities affect ES/EF and LS/LF calculations? A. The latest finish time for activities E and F will be zero. B. These activities don't affect ES/EF and LS/LF calculations. C. There will be more than one activity to watch for affecting the total project length. D. The earliest start time for activities A, B, and C will be non-zero. b. The critical octivities are so they make up the critical path. The entire project will take weeks to complete. (Entor your response as a whole number.) c. Suppose management of Spartan Cabinets has developed additional information for the project described for the various actvitios. Fo illuatrate. activty A can be crathed by us is 9 wesks, at a cost of $1,250 per woek Click the ioon to view the number of days certain activies can be crashed and its cost. The cheopest way to crash the project by 7 weoks is to crash activity by week(s) and actvity by week(s) (Ender your rewponses as ahole mambers) Assuming that cost is not a concern, the shortest time in which the projoct can be comploted is woeks. (Entor your response as a whole number) Activity Duration Number of weeks activity Crash Cost per \begin{tabular}{lccc} & (weeks) & can be crashed & Week \\ \hline A Hire workers & 33 & 9 & $1,250 \\ B Install equipment & 13 & 1 & 500 \\ C Order materials & 13 & 6 & 1,750 \\ D Test equipment & 15 & 10 & 7,250 \\ E Train workers & 10 & 4 & 4,750 \\ F Run pilot tfsts & 9 & 3 & 5,250 \\ \hline \end{tabular}