SECTION $3$: $(3$ points$)$

You have signed a contract to build a house for the Simpsons. You will receive a $$500$ bonus for completing the project within $15$ working days. The contract also contains a penalty clause in which you will lose $$100$ for each day the project takes longer than $15$ working days.

a$.$ Draw a project network given the information below $(1$ point$).$

b$.$ Complete the forward and backward pass, compute the activity slack, and identify the critical path $(1$ point$).$

c$.$ Do you expect to receive a bonus or a penalty on this project? $(1$ point$).$

$\backslash$table$[[$ID$,$Description,Predecessor,Time $($days$)],[$A$,$Pour foundation,None,$3],[$B$,$Erect frame,A$,4],[$C$,$Roof,B$,4]]$