The KwaZulu-Natal Provincial Department has embarked on a multi-million-rand Transport Rehabilitation Initiative (TRI). The initiative has been identified as one that will ensure that the transportation networks and systems of the province will be categorized as being world class by year 2020. This will however include a series of projects that will encompass the construction of bridges, dual carriageways, railway networks, ports and airports. One of the first projects that will be carried out under the initiative will be the expansion of the Durban Port, this is aimed at increasing its current holding capacity and overall operational efficiency. The KwaZulu-Natal MEC of Transport has indicated that the success of TRI heavily depends on the efficient management of the different projects of the initiative. One of the project initiatives includes the mounting of a filter system which is aimed at reducing air pollution during the series of the projects that will be performed. The Department of Environmental Affairs has given the TRI team 16 weeks to install a complex air filter system and it has warned that it may be forced to discontinue the project unless the filter system is mounted, within the allocated period. Jacob Naude, the project manager wants to ensure that the installation of the filtering system progresses smoothly and on time. He has therefore identified eight activities and their estimated times (weeks) that need to be completed in order for the project to be successfully completed. When the project begins two activities can be simultaneously started, building the internal components for the device (Activity A- 2 weeks) and the modifications necessary for the floor and the roof (Activity B-3 weeks). The construction of the collection stack (Activity C- 2 weeks) can begin when the internal components are completed, Pouring of the concrete floor and installation of the frame (Activity D- 4 weeks) can be started as soon as the0