Question

1. Consider the following information for a project to add a drive-thru window at Crestview
Bank.
Activity Activity Time (weeks) Immediate Predecessor(s)
A 5 -
B 2 -
C 6 -
D 2 A, B
E 7 B
F 3 D, C
G 9 E, C
H 11 F, G
a. Draw the network diagram for this project.
b. Specify the critical path.
c. Calculate the slack for activities A and D.

Answer 1

Based on the activity times, and the order of activities, the critical path is B ⇒ E ⇒ G ⇒ H.

The slack for Activity A is 8 weeks and the slack for Activity D is 8 weeks as well.

What is the critical path?

First find all the possible paths:

• A ⇒ D ⇒ F ⇒ H - 21 weeks
• B ⇒ D ⇒ F ⇒ H: 18 weeks
• B ⇒ E ⇒ G ⇒ H: 29 weeks
• C ⇒ G ⇒ H: 26 weeks
• C ⇒ F ⇒ H: 20 weeks

The critical path takes the longest time so will be B ⇒ E ⇒ G ⇒ H: 29 weeks.

What is the slack for Activity A?

This can be found as:

= Latest finish for A - Earliest finish for A

Looking at the network, the earliest finish for A is 5 and the latest finish is 13.

Slack is:

= 13 - 5

= 8 weeks.

What is the slack for activity D?

Earliest finish for D is 7 and lastest finish is 15.

Slack is:

= 15 - 7

= 8 weeks.

Find out more on the critical path at https://brainly.com/question/8147877.