needs to make a decision on how to split up the production of the products among plants (15 points) Unit cost for product Capacity available 2 tI Plant 4 28 75 Plant 2 Plant3 27 45 Production rate 8. Consider a project whose activities and required times are as given: (10 points) activity Required Time(Minutes) (1,2) 5 (4,5) 6 (6,7) 2 (78 (8,9) 6 (4,7) a. Construct the project network for this project b. Find the earliest time. latest time. and slack for each event as well as the slack for each activity. Also identify the critical path If the precedence relationship implied by dummy activity(4, 7)could be removed, by how much would the project completion time be reduced?4 needs to make a decision on how to split up the production of the products among plants. (15 points) Unit cost for product 1 2 3 4 Capacity available Plant 1 41 27 28 24 75 Plant 2 40 29 — 23 75 Plant 3 37 30 27 21 45 Production rate 20 30 30 40 8.Consider a project whose activities and required times are as given: (10 points) Activity Required Time (Minutes) (1,2) (2,3) (3,4) (4,5) (5,9) (2,6) (6,7) (7,8) (8,9) (4,7) 5 5 5 5 5 6 2 5 6 0 a. Construct the project network for this project. b. Find the earliest time, latest time , and slack for each event as well as the slack for each activity. Also identify the critical path. c. If the precedence relationship implied by dummy activity (4,7) could be removed, by how much would the project completion time be reduced?