Widgetco is about to introduce a new product. One unit of this product is produced by assembling subassembly 1 and subassembly 2. Before production begins on either subassembly, raw materials must be purchased and workers must be trained. Before the subassemblies can be assembled into the final product, the finished subassembly two must be inspected. A list of activities, their predecessors, and their durations is given in the following Table.

Activity Predecessors Duration(days)
A - Train workers --------- 6
B - Purchase raw materials --------- 9
C - Make subassembly 1 A,B 8
D - Make subassembly 2 A,B 7
E - Inspect subassembly 2 D 10
F - Assemble Subassemblies C,E 12

Problem:

1. Draw a project diagram (network) for this project?
2. What is the total project time?
3. What is the critical path?
Linear Programming