A Company Has Developed a Project Using CPM but Is

A company has developed a project using CPM but is interested in accelerating it if possible. The project has the following activities, durations in weeks), costs, and precedence relationships:
$\begin{array}{cc|cc|cc}\text { Immediate } && \text { Present } && \text { Accelerated }\\\text { Activity } & \text { Predecessors } & \text { Duration } & \text { Cost } & \text { Duration } & \text { Cost } \\\hline \text { a } & \text { none } & 3 & \$ 100 & 2 & \$ 250 \\\text { b } & \text { a } & 4 & \$ 50 & 3.5 & \$ 150 \\\text { c } & \text { a } & 5 & \$ 250 & 4 & \$ 450 \\\text { d } & \text { none } & 3 & \$ 100 & 3 & \ldots \\\text { e } & \text { d } & 6 & \$ 100 & 5 & \$ 175 \\\text { f } & \text { b,c,e } & 7 & \$ 300 & 5 & \$ 600\end{array}$
a. How many paths are in the network?
b. What is the earliest finish EF) time for activity f?
c. What is the slack in weeks for activity "c"?
d. What is the critical path?
e. What is the duration of the critical path in weeks
f. What activity should be crashed first to accelerate the project
g. What is the final duration of the fully crashed project
h. What is the total crashing cost for the project?