Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Critical Path Analysis in Cambridge Senior Further Mathematics VCE Units 3 & 4, Assignments of Mathematics

Edith Cowan University (ECU)Mathematics

Exercises on critical path analysis from the cambridge senior further mathematics vce units 3 & 4 curriculum. Students are required to determine the value of pronumerals, durations, and float times of activities in given activity networks. They also need to find the critical path and minimum time required to complete projects.

Typology: Assignments

2021/2022

Uploaded on 07/05/2022

gavin_99
gavin_99 🇦🇺

4.3

(73)

998 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Cambridge*Senior*Further*Mathematics*VCE*Units*3*&*4*
1
Critical(Path(Analysis(/(Revision(
Question)1!Write down the value of each pronumeral in the sections of activity networks below.
a
b
c
d
e
f
Question)2!Consider the section of an activity
network shown in the diagram below.
a)!What is the duration of activity A?
b)!What is the LST for activity C?
c)!What is the float time of activity D?
d)!What is the duration of activity C?
e)!What is the EST of activity D?
pf3
pf4

Partial preview of the text

Download Critical Path Analysis in Cambridge Senior Further Mathematics VCE Units 3 & 4 and more Assignments Mathematics in PDF only on Docsity!

Critical Path Analysis -­‐ Revision

Question 1 Write down the value of each pronumeral in the sections of activity networks below.

a b c d e f

Question 2 Consider the section of an activity

network shown in the diagram below.

a) What is the duration of activity A?

b) What is the LST for activity C?

c) What is the float time of activity D?

d) What is the duration of activity C?

e) What is the EST of activity D?

Question 3 The following table gives the duration (in days) for activities involved in a construction

project. The activity network representing the project is also shown.

a Use the durations to determine the times missing from the table below. Activity Earliest Start Time (EST) Latest Start Time (LST) A 0 0 B 0 C 5 D E F 12 G 17 17 b Write down the critical path of the activity network. c Determine the minimum time required to complete the project. d Write down the float times of all non-critical activities. Activity Duration (days) A 4 B 5 C 4 D 2 E 8 F 5 G 6

Question 5 The Houndsworth Town Sports

Association is planning a sports carnival. Traffic

through the town will be diverted around the sporting

venues during the carnival.

The network below shows the roads that can be used

during the carnival represented by edges and the

intersection of those roads shown as vertices.

The numbers on the edges are the maximum number of cars that can travel on the road each hour. The roads will be restricted to allow one-way traffic only, as shown by the arrows.

a) How many cars per hour can enter the diversion roads?

One cut (Cut 1) is shown on the diagram above.

b) i If the capacity of Cut 1 is 150, what is the value of m?

ii Show that the smallest value of m that will ensure there will be no build-up of cars at intersection B is

The capacity of the road between intersection B and intersection E is 50 ( m = 50). The maximum flow through the network is currently 150 cars per hour.

c) Mark in the cut that determines this maximum flow on the network above.

The Sport Association have noticed that there could be a built-up of traffic at intersections E and F.

d) If the road between intersections F and H was improved, what is the minimum extra capacity it

should take to solve the potential traffic built-up at F?

In order to solve the potential build-up of traffic at intersection E , the Sports Association open another road from intersection E to intersection D.

e) i What is the minimum capacity of this road that will avoid traffic build-up at

intersection E? ii Explain why a road between intersection E and D cannot solve potential traffic build-up in the network.