The following CPM network has estimates of the normal time in weeks listed for the activities:

A network diagram flowchart. The paths of the flowchart are as follows. A $(5),$ B $(10),$ D $(6),$ and G $(4).$ A $(5),$ C $(8),$ E $(7),$ and G $(4).$ A $(5),$ C $(8),$ F $(4),$ and G $(4).$

a$-1.$ Determine the critical path.

multiple choice $1$

A$-$B$-$D$-$G

A$-$C$-$E$-$G

A$-$B$-$E$-$G

A$-$C$-$F$-$G

a$-2.$ Determine the early completion time in weeks for the project.

For the data shown, reduce the project completion time by three weeks. Assume a linear cost per week shortened.

ACTIVITY NORMAL TIME NORMAL COST CRASH TIME CRASH COST

A $5$ $ $7,0003$ $ $13,000$

B $1012,000718,000$

C $85,00077,000$

D $64,00055,000$

E $73,00066,000$

F $46,00037,000$

G $47,00039,000$

b$-1.$ Which activities in order of reduction would be shortened?

multiple choice $2$

D$-$G$-$A

G$-$D$-$A

A$-$G$-$D

D$-$B$-$C