Consider the following project network and activity times $($in days$).$ Assume that management desires a $12-$day project completion time.

Activity

A

B C D E F G

Time $2255622$

The crashing data for this project are as follows:

Time $($days$)$ Cost $($$$)$

Activity Normal Crash Normal Crash

A $217001100$

B $2113001500$

C $5323003300$

D $5314002000$

E $6418003200$

F $217001000$

G $216001000$

Formulate a linear programming model that can be used to assist with the crashing decisions. For negative or subtractive number, use minus sign. Enter $"0"$ if your answer is zero. If constant is $"1",$ it must be entered in the box.

Activity Max Crash Days Crash Cost$/$Day $($$$)$

A fill in the blank $1$

fill in the blank $2$

B fill in the blank $3$

fill in the blank $4$

C fill in the blank $5$

fill in the blank $6$

D fill in the blank $7$

fill in the blank $8$

E fill in the blank $9$

fill in the blank $10$

F fill in the blank $11$

fill in the blank $12$

G fill in the blank $13$

fill in the blank $14$

fill in the blank $16$

YA $+$ fill in the blank $17$

YB $+$ fill in the blank $18$

YC $+$ fill in the blank $19$

YD $+$ fill in the blank $20$

YE $+$ fill in the blank $21$

YF $+$ fill in the blank $22$

YG

s$.$t$.$

fill in the blank $23$

XA $+$ fill in the blank $24$

YA

fill in the blank $26$

fill in the blank $27$

XB $+$ fill in the blank $28$

YB

fill in the blank $30$

fill in the blank $31$

XC $+$ fill in the blank $32$

YC $+$ fill in the blank $33$

XA

fill in the blank $35$

fill in the blank $36$

XD $+$ fill in the blank $37$

YD $+$ fill in the blank $38$

XB

fill in the blank $40$

fill in the blank $41$

XE $+$ fill in the blank $42$

YE $+$ fill in the blank $43$

XC

fill in the blank $45$

fill in the blank $46$

XE $+$ fill in the blank $47$

YE $+$ fill in the blank $48$

XD

fill in the blank $50$

fill in the blank $51$

XF $+$ fill in the blank $52$

YF $+$ fill in the blank $53$

XC

fill in the blank $55$

fill in the blank $56$

XF $+$ fill in the blank $57$

YF $+$ fill in the blank $58$

XD

fill in the blank $60$

fill in the blank $61$

XG $+$ fill in the blank $62$

YG $+$ fill in the blank $63$

XF

fill in the blank $65$

fill in the blank $66$

XFIN $+$ fill in the blank $67$

XE

fill in the blank $69$

fill in the blank $70$

XFIN $+$ fill in the blank $71$

XG

fill in the blank $73$

fill in the blank $74$

XFIN

fill in the blank $76$

YA

fill in the blank $78$

YB

fill in the blank $80$

YC

fill in the blank $82$

YD

fill in the blank $84$

YE

fill in the blank $86$

YF

fill in the blank $88$

YG

fill in the blank $90$

All Xi$,$ Yi $>=0$

What activities should be crashed?

Activity Crash Crashing Cost

fill in the blank $92$

day$($s$)$ $ fill in the blank $93$

fill in the blank $95$

day$($s$)$ $ fill in the blank $96$

Total $ fill in the blank $97$

What is the total project cost for the $12-$day completion time?

Total Cost $=$ $ fill in the blank $98$