Problem $1.$ The following table shows the tasks, their duration and immediate predecessors of a project aiming at developing a new shopping center.

Task Description Immediate Predecessors Time $($months$)$

A Prep architectural Drawings $-5$

B Identify potential tenants $-6$

C Develop prospectus A $4$

D Select contractor A $3$

E Prep building permits A $1$

F Get approval for permits E $4$

G Construction D$,$F $14$

H Finalize contracts w$/$tenants B$,$C $12$

I Tenants move in G$,$H $2$

Use CPM method to schedule this project and answer the following questions.

How long will maintenance project take?

What are the critical tasks? Interpret the critical path.

How much slack does each task have? Interpret the slacks.

What would happen if task B were delayed for five months $($i$.$e$.,$ we start five months after the earliest start time$)?$

What would happen if task B started at its earliest start time but takes $4$ months longer $(10$ month instead of six month$)?$

What would happen if task E were delayed for one month?