A. Network Diagram/Critical Path (15 points). A project has the following precedence relationships and activity times. Activity Activity Time Immediate (wks) Predecessor(s) A 4 B 10 C 5 A D 15 B,C E 12 B F 4 D G 8 E H 7 F,G a. Draw the network diagram. b. Calculate the total slack for each activity. Which activities are on the critical path? B. Minimum Cost Schedule (25 points). Information concerning a project is given in the table below. Activity Normal Crash Immediate Normal Crash Cost Time Cost ($) Time ($) Predecessor(s) (days) (days) A 5 1000 4 1200 B 5 800 3 2000 C 2 600 1 900 A,B D 3 1500 2 2000 B E 5 900 3 1200 C,D F 2 1300 1 1400 E G 3 900 3 900 E H 5 500 3 900 G Indirect project costs amount to $250 per day. The company will incur a $100 per day penalty for each day the project lasts beyond day 14. a. What is the projects duration if only normal times are used? b. What is the minimum-cost schedule? c. What is the critical path for the minimum-cost schedule? C. Linear Programming (10 points). Supplement D, p.608, #6 (a & b only). "A manufacturer of textile dyes can use two different processing routings for a particular type of dye. Routing 1 uses drying press A, and routing 2 uses drying press B. Both routings..."
