Norton Industries is installing a new computer system. The activities, the activity times, and the project network are as follows. Activity | Time A 3 B 6 c 2 D 5 E 4 F 3 G 9 H 3 . . Start D E | Finish The critical path calculation shows B-D-E-F-H is the critical path, and the expected project completion time is 21 weeks. After viewing this information, management requested overtime be used to complete the project in 16 weeks. Thus, crashing of the project is necessary. The following information is relevant. Time (weeks) Cost ($) Activity | Normal | Crash | Normal | Crash A 3 1 900 1,700 B 6 3 2,000 4,100 C 2 1 500 1,000 D 5 3 1,800 2,400 E 4 3 1,500 1,850 F 3 1 3,000 3,900 G 9 4 8,000 9,800 H 3 2 1,000 2,000 (a) Formulate a linear programming model that can be used to make the crashing decisions for this project. (The objective function should be the additional cost of crashing. Let X; = the finish time for activity i and y;= the amount of time activity i is crashed where j = A, B, C, D, E, F, G, and H.) Min s.t. constraint A constraint B C depends on A D depends on C D depends on B E depends on D F depends on E G depends on C G depends on B H depends on G H depends on F finish time for H maximum maximum maximum maximum maximum maximum maximum maximum crashing for A crashing for B crashing for C crashing for D crashing for E crashing for F crashing for G crashing for H (b) Solve the linear programming model and make the minimum cost crashing decisions. What is the amount of crash time (in weeks) for each activity? Activity Crash Time A What is the added cost (in dollars) of meeting the 16-week completion time? (c) Develop a complete activity schedule based on the crashed activity times. Activity Earliest Latest Earliest Latest Critical Start Start Finish Finish Slack Activity A ---Select--- v B ---Select--- C ---Select--- D ---Select--- E ---Select--- v F ---Select--- v G ---Select--- H ---Select--- v