A project requires the tasks shown in the table below to be completed. The duration column

shows the number of weeks estimated for one person to complete the task.

Answer the following questions. Do not use a software project management tool such as

Microsoft Project to assist in either drawing the diagrams or in computing solutions.

$(1)$ Create an activity network diagram for the project tasks, identify the critical path,

and calculate its length.

$(2)$

Draw a bar chart $($also known as a Gantt chart$)$ showing the duration of each task,

assuming that each task starts at the earliest opportunity.

$(3)$

For each task not on the critical path, by how much could the start be delayed

assuming that each task starts at the earliest opportunity?

$(4)$

Assuming that each task will be undertaken by a single person, create a staff

allocation chart that allocates the work to John, Kate and Mary in such a way that each task is

undertaken as soon as possible.