Problem $5-18($Static$)$

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

A diagram shows critical path through A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ and G$.$A diagram shows a critical path through A$,$ B$,$ C$,$ D$,$ E$,$ F and G$.$ It shows circles labeled as A $(7),$ B $(2),$ C $(4),$ D $(5),$ E $(2),$ F $(4)$ and G $(5).$ A is connected to B and C$.$ B and C are connected to D$.$ D is connected to E and F and they lead to G$.$

a$.$ Identify the critical path.

multiple choice $1$

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

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

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

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

b$.$ What is the length of time to complete the project?

c$.$ Which activities have slack, and how much?

multiple choice $2$

C$,2$ weeks; F$,3$ weeks.

C$,1$ week; E$,2$ weeks.

D$,1$ week; E$,2$ weeks.

B$,2$ weeks; E$,2$ weeks.

Here is a table of normal and crash times and costs.

ACTIVITY NORMAL TIME CRASH TIME NORMAL COST CRASH COST

A $76$ $$7,000$ $$8,000$

B $215,0007,000$

C $439,00010,200$

D $543,0004,500$

E $212,0003,000$

F $424,0007,000$

G $545,0008,000$

d$-1.$ Which activities would you shorten to cut two weeks from the schedule in a rational fashion?

multiple choice $3$

B$,$ D

A$,$ E

B$,$ C

A$,$ C

d$-2.$ What would be the total incremental cost?

d$-3.$ Is the critical path changed?

multiple choice $4$

Yes