What is the minimum amount of time needed to complete the renovation project? Also, what

are the critical activities and the critical path$($s$)$ of the project?

d$.$ Suppose now that we are given the following crashing information. For each week that we are

able to reduce the project completion time, we are paid an extra $$800.$ Using the greedy method

learned in class, crash the project for as many weeks as it is profitable to do so$.$ Clearly show which

activities you will crash for each week, the cost of crashing for each week, and all of the critical

paths at the end of each week. If it becomes no longer profitable to crash the project, then clearly

explain why.

Activity Immediate Normal Duration Crash Duration Normal Crash Crash Cost

Predecessors $($weeks$)($weeks$)$ Cost Cost per Week

A $21$ $$100$ $$1,100$ $$1,000$

B A $32$ $$300$ $$1,300$ $$1,000$

C B $43$ $$300$ $$1,000$ $$700$

D A $63$ $$400$ $$3,100$ $$900$

E C$,$D $107$ $$700$ $$1,600$ $$300$

F C$,$D $1110$ $$800$ $$1,400$ $$600$

G C$,$D $54$ $$400$ $$1,100$ $$700$

H G $76$ $$600$ $$1,200$ $$600$