A contractor has developed the tasks, durations, and predecessor relationships in the following table for part of a new building. The Beta distribution is assumed for all activity times.

Task Immediate Predecessor$($s$)$ Time Estimates $($In Weeks$)$

Optimistic Most Likely Pessimistic

A None $5619$

B A $567$

C A $345$

D B $135$

E B $3417$

F C $246$

G D $345$

H E$,$ F $234$

$7.$ Draw the precedence network for the project. You may use the shape tools in Word or PowerPoint, or the drawing application of your choice, and insert $($copy & paste$)$ the diagram into the Word file. What are the ES$/$EF $($earliest start$/$finish$)$ and the LS$/$LF $($latest start$/$finish$)$ for each task based on the expected task times? Write these times on the network diagram. Hint: It may be helpful to create dummy start and$/$or end tasks with task times of $0$ to $$tie$$ the ends of the network together. $(10$ pts$)$