Problem $17-14($Static$)$

The project manager of a task force planning the construction of a domed stadium had hoped to be able to complete construction prior to the start of the next college football season. After reviewing construction time estimates, it now appears that a certain amount of crashing will be needed to ensure project completion before the season opener. Given the following time and cost estimates, determine a minimum$-$cost crashing schedule that will shave five weeks off the project length. Note: No activity can be crashed more than two weeks.

CRASHING COSTS

Activity Immediate Predecessor Normal Time $($weeks$)$ First Week Second Week

A $12$ $$15,000$ $$20,000$

B A $1410,00010,000$

C $105,0005,000$

D C $1720,00021,000$

E C $1816,00018,000$

F C $1212,00015,000$

G D $1524,00024,000$

H E $8$

I F $730,000$

J I $1225,00025,000$

K B $910,00010,000$

M G $3$

N H $1140,000$

P H$,$ J $820,00020,000$

End K$,$ M$,$ N$,$ P

Click here for the Excel Data File

Crash schedule: $(1$ week each$)$