Instructions show This question has six parts $($a$-$f$).$ Be sure to label your answers clearly. Analyze and solve the following project network. The numbers in the top cell of the boxes represent the time in weeks required to perform each activity. a$.$ What is the ES of activity D$?$ b$.$ What is the LS of activity B$?$ c$.$ What is the LF of activity B$?$ d$.$ Which activities are on the critical path? e$.$ If duration of activity B increases by one week, will the completion of the project be delayed? Determine the critical path$($s$)$ in this case. f$.$ If activity B takes $13$ weeks $($instead of $11)$ to complete, will the completion of the project be delayed? If so$,$ determine the critical path$($s$)$ and the new project duration. Note: There is no need to calculate the new ES$/$ET and LS$/$LF of the activities.