Shown at the top of page 663 is a network showing the sequence of activities that must be performed to complete a project. The estimated duration in days of each activity, without expediting, is indicated in each node. The following table shows the cost to reduce the duration of each activity by 1 day, the additional cost to reduce the activity a second day, and the additional cost required to reduce an activity a third day, if feasible.

a. Find the duration of the project if no activity is expedited.

b. Find the critical path of the project.

c. Find the lowest possible cost way to reduce the duration of the project by a total of four days.

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Incremental Cost to Reduce Activity Duration (Dollars) SECOND DAY ACTIVITY FIRST DAY THIRD DAY HKLMPRSTO 40 70 125 50 90 200 180 275 400 220 280 375 150 190 * 50 100 125 60 140 200 75 110 190 U 40 60 80 V 50 80 125 214 W 170 240 350 150 180 310 Y 60 100 275 40 150