Given the project within the table below calculate
a. The critical path
b. The minimum project duration
c. The amount of slack for each activity
$$\begin{array}{ccc}\text{ Activity }& \begin{array}{c}\text{ Duration }\\ \text{ (hours) }\end{array}& \begin{array}{c}\text{ Immediate }\\ \text{ Predecessors }\end{array}\\ \mathrm{A}& 4& \text{ None }\\ \mathrm{B}& 3& \text{ None }\\ \mathrm{C}& 10& \text{ None }\\ \mathrm{D}& 7& \mathrm{B},\mathrm{C}\\ \mathrm{E}& 1& \mathrm{D}\\ \mathrm{F}& 1& \mathrm{E}\\ \mathrm{G}& 5& \mathrm{A},\mathrm{F}\end{array}$$

Minimum Duration

The shortest possible time in which a project or task can be completed, taking all constraints into account.

Immediate Predecessors

Activities or tasks that must be completed directly before a subsequent activity or task can begin, in a project or process sequence.

Critical Path

The longest sequence of tasks in a project, which determines the shortest possible duration to complete the project.