3. In the realm of project management, effective planning and execution are pivotal to the success of any endeavor. Three fundamental tools that aid in achieving this success are the Precedence Diagram Method (PDM), Critical Path Method (CPM), and Resource Allocation. Table 2 shows a simple project of floor installation. (a) Activity ID/ Activity Description/ IPA Penerangan Aktiviti ID Aktiviti A Purchase and deliver B materials/ Pembelian dan penghantaran bahan-bahan Remove old vinyl tile/ Duration Labourers/ (Days)/ Tempoh Buruh (hari) 5 2 7 Keluarkan jubin vinyl lama Install ceramic tile/ A 3 3 Pasang jubin seramik D Install new vinyl tile/ A, B 5 3 Pasang jubin vinyl baharu E Clean and inspect/ Pembersihan dan pemeriksaan C, D 2 2 Draw the precedence diagram and perform the CPM calculations. Show the ES, EF, LS, LF, TF, and FF for all activities in the table and identify the critical path for the project. (12) (b) Develop the bar chart for the resource allocations and level it so that the subcontractors do not use more than six labourers at any time. Find ways to improve the labour usage profile. (8) (Total / Jumlah: 20 )