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Edexcel IAL Mathematics D1.4.4 total float

Practise total float and scheduling by using event times, cascade charts and worker limits to justify project decisions.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • Calculate total float from latest time, earliest time and activity duration with values shown.
  • Use a cascade chart to identify overlapping activities that force a minimum worker count.
  • Schedule activities within float so the project still finishes in the minimum time.

D1.4.4 - Total float question 1

[Maximum number: 6]
Table for Question D1.4.4 - Total float question 1 — Edexcel A-Level Mathematics AS
Table for Question D1.4.4 - Total float question 1 — Edexcel A-Level Mathematics AS
Table for Question D1.4.4 - Total float question 1 — Edexcel A-Level Mathematics AS
Diagram 1

Diagram 1

Diagram 2

Diagram 2

Figure 2

Figure 2

[The sum of the durations of all the activities is 133 days]
A project is modelled by the activity network shown in Figure 2. The activities are represented by the arcs. The number in brackets on each arc gives the time, in days, to complete the activity. Each activity requires one worker. The project is to be completed in the shortest possible time.

Question (a)

(a)

Calculate the total float for activity J. You must make the numbers you use in your calculation clear.

[ 1 ]

Question (b)

(b)

Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working.

Diagram 2 in the answer book shows a partly completed scheduling diagram for this project.

[ 1 ]

Question (c)

(c)

Complete the scheduling diagram, using the minimum number of workers, so that the project is completed in the minimum time.

[ 4 ]
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