5 Consider the (simplified) list of activities and predecessors that are involved in building a house (Table 20).

a Draw a project network, determine the critical path, find the total float for each activity, and find the free float for each activity.
b Suppose that by hiring additional workers, the duration of each activity can be reduced. The costs per day of reducing the duration of the activities are given in Table 21. Write down the LP to be solved to minimize the total cost of completing the project within 20 days.

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