3. A factory manufactures a product P as follows. Three components, C, D and F, are initially manufactured. Then the intermediate components A, B and E are assembled and finally the product P. The constituent components (if any) for each unit and the time taken by one worker to manufacture each is: Component B CD E F Time 3 2 4 4 2 7 Constituents CF CD BD P 1 A. E (a) Construct an activity network based on these precedence relations and completion times. [6 Marks) (b) Find the earliest and latest starting times and the float for each activity as well as the critical path/paths for the network constructed in (a). [6 Marks (c) What is the total amount of work (TAW) and the minimum completion time (MCT), assuming sufficient number of workers? What is the mini- mum number of workers that in theory may be able to complete all the activities in the minimum completion time. [3 Marks (d) Suppose that two workers are assigned to complete these activities. Apply the factory rules and find an optimal scheduling for these two workers. Does it matter which activities workers start first? How would the re- sult change if three workers are assigned to complete these activities. Comment on your results. [5 Marks] 3. A factory manufactures a product P as follows. Three components, C, D and F, are initially manufactured. Then the intermediate components A, B and E are assembled and finally the product P. The constituent components (if any) for each unit and the time taken by one worker to manufacture each is: Component B CD E F Time 3 2 4 4 2 7 Constituents CF CD BD P 1 A. E (a) Construct an activity network based on these precedence relations and completion times. [6 Marks) (b) Find the earliest and latest starting times and the float for each activity as well as the critical path/paths for the network constructed in (a). [6 Marks (c) What is the total amount of work (TAW) and the minimum completion time (MCT), assuming sufficient number of workers? What is the mini- mum number of workers that in theory may be able to complete all the activities in the minimum completion time. [3 Marks (d) Suppose that two workers are assigned to complete these activities. Apply the factory rules and find an optimal scheduling for these two workers. Does it matter which activities workers start first? How would the re- sult change if three workers are assigned to complete these activities. Comment on your results. [5 Marks]
