Only do question E

Question 3 [25 marks] Your firm is producing a new product and want to bring it to the market as soon as possible. There are several tasks that you need to complete in order to sell the new product. The following table describes the relationships between the tasks that need to be completed. Task Immediate Predecessor Time A 5 B 6 A B C 2 D A 9 E 7 F 4 G BD E, F G 3 H 2 Part a (10 marks) Draw the project network and compute the following for each task: Earliest Start Time (ES), Earliest Finish Time (EF), Latest Start Time (LS), Latest Finish Time (LF). . Part b (2 marks) i) What is the earliest completion time? ii) What is the critical path? Part c (4 marks) For each of the following scenarios, determine the EARLIEST COMPLETION TIME under the given delays without re-drawing the project network. Justify your answer. i) Task C is delayed by 1 days. ii) Task D is delayed by 1 days. Part d (3 marks) The contractor for Task F wants 11 days to complete his task, rather than the proposed 4 days. The contractor offers you $300,000 to compensate for the additional time. However, each day of delay over the earliest completion time (as computed in part b) will cost you $50,000 in wages. Should you accept the contractor's offer? Justify your answer by showing your calculations. Parte 6 marks) Use the Linear Programming Approach to formulate this