A Manufacturing Company Wants to Accelerate a Project It Has

A manufacturing company wants to accelerate a project it has underway for a new product in order to beat their competitors to market. They used CPM to develop the project which has the following activities, durations in weeks), costs in dollars), and precedence relationships:
$\begin{array}{|c|c|c|c|c|c}\hline&\text { Immediate } & \text { Present } && \text { Accelerated }\\\text { Activity } & \text { Predecessors } & \text { Duration } & \text { Cost } & \text { Duration } & \text { Cost } \\\hline \text { a } & \text { none } & 3 & 3300 & 2 & 3400 \\\hline \text { b } & \text { none } & 5 & 4100 & 3 & 4500 \\\hline \text { c } & \text { a } & 4 & 3700 & 3 & 3800 \\\hline \text { d } & \text { b } & 5 & 5900 & 4 & 6000 \\\hline \text { e } & \text { c } & 6 & 6700 & 4 & 6900 \\\hline \text { f } & \text { c } & 4 & 4100 & 3 & 4150 \\\hline \text { g } & \text { d,e } & 6 & 9100 & 3 & 9700 \\\hline \text { h } & \text { f,g } & 5 & 2700 & 4 & 3000\\\hline\end{array}$
a. How many paths are in the network?
b. What is the latest finish (LF) time for activity g?
c. What is the slack in weeks for activity c?
d. What is the critical path for this project?
e. What is the duration of the critical path in weeks
f. What activity should be crashed first in order to accelerate the project
g. What is the final project duration in weeks assuming it is crashed as far as possible
h. What is total cost to crash the project as far as possible?