Problem 1 (20 points): Use the following network answer the following questions:

Question

Problem 1 (20 points): Use the following network answer the following questions: B, 6 A,4 (C, 3 ?,5 H, 6 D, 7 G, 4 a(4). Find the critical path and the project completion time b(6). Make a table of ES, EF, LS, and LF for each activity. c(3). Calculate the slack for activity D d(7). The entrepreneur is considering reducing the time for completion of the project. He can hire an additional worker to help reduce the times required for activities B, C, F, and G; by one day each only i) Which activity should the additional worker perfornm to reduce the project completion time by one day? (ii) Which activities should the worker perform to reduce the project completion time by two days? Please provide complete logic for your activity selection for full credit.

Explanation / Answer

a. Below will be the time taken

ABEFH 4+6+5+3+6= 24

ABEH 4+6+5+6=21

ABEGH 4+6+5+4+6=25

ACEH 4+3+5+6=18

ACEFH 4+3+5+3+6=21

ACEGH 4+3+5+4+6=22

ADGH 4+7+4+6=21

Hence the critical path will be ABEGH (4+6+5+4+6=25) and the time taken to complete the project will be 25(units)

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