Problem Set $11$

uID

Note: You will find the Example videos in the module very helpful in answering these

questions. Please type or write only a number or text in the text box provided.

Use the Activity$-$on$-$Arrow $($AOA$)$ diagram on the following page to determine the following $$each

number is the number of hours for the task.

a$.$ How many different paths are there through the network? $(15$

points$)$

b$.$ What is the number of the last node in the network? $(15$ points$)$

c$.$ What is the difference in hours taken for the two paths when they

connect at node $10.(15$ points$)$

d$.$ What is the difference in hours taken for the two paths when they

connect at node $12.(15$ points$)$

e$.$ What is the expected duration of the entire project? $(15$ points$)$

f$.$ What is the critical path? Separate each node with a dash $().(12\mathrm{.}5$ points$)$

g$.$ Which is the longest path? Separate each node with a dash $().$