The Production Engineering Group at the Singapore Plant of a Computer

The production engineering group at the Singapore plant of a computer company has been put in charge of production for a new printer model. The printer will be built via an assembly line. The plant manager must design the assembly line for the printer. He has been advised that the assembly line must be ready in four weeks for a test run. He has decided to use CPM and has identified these activities, determined their precedence relationships, and estimated normal times:
$$\begin{array} { l c c c } \text { Activity } & \text { Immediate Predecessors } & \text { Normal Time days) } \\\text { a. organize layout team } & \text { none } &5 \\\text { b. organize modification team } & \text { none } & 3 \\\text { c. design personnel jobs } & \text { a } & 2 \\\text { d. set machinery in place } & \text { b } & 3 \\\text { e. connect utilities } & \text { c, d } & 7 \\\text { f. modify conveyor system } & \text { e } & 4 \\\text { g. train personnel } & \text { e } & 3 \\\text { h. finishing touches } & \text { f } & 5 \\\text { i. run test lot } & \text { g } & 2\end{array}$$
a. How many paths are there in the network?
b. What is the duration of path b d e g i in days?
c. What is the earliest finish EF) time for activity "e"?
d. What is the slack in days for activity "d"?
e. What is the critical path?
f. What is the duration of the critical path in days?