Consider a project to produce custom door moldings for GMC Acadia cross-over veh

Question

Consider a project to produce custom door moldings for GMC Acadia cross-over vehicles, described in the following table Activity Time Immediate Predecessor(s) Activity (weeks) START START START A, B D, E C, E F, G 4 FINISH a. If you start the project immediately, when will it be finished? The critical path is path A-E-F and the project duration is 18 weeks. (Enter your response as an integer.) b. You are interested in completing your project as soon as possible. You have only one option. Suppose you could assign Employee A, currently assigned to Activity G, to help Employee B, currently assigned to Activity F. Each week that Employee A helps Employee B will result in Activity G increasing its time by one week and Activity F reducing its time by one week. How many weeks should Employee A work on Activity F? Employee A should workweeks on Activity F and the projects duration will be reduced to weeks. (Enter your responses as integers)

Explanation / Answer

G and F are both the ending activities. Currently F is in the critical path and the activity time is 9 weeks. G has an activity time of 3 weeks.

The best that can be done is to average these two activities. That will be 6 weeks. In order for that to happen, A should work on F for 3 weeks. This way, the duration of F will reduce to 6 weeks. And the duration of G will increase to 6 weeks.

Currently the different possible paths are

ADF – 16

AEF – 18

AEG – 12

BEF – 16

BEG – 10

BCG – 9

By reducing F by 3, the paths that contain F will reduce by 3 weeks and paths that contain G will increase by 3 weeks. The new paths will be

ADF – 13

AEF – 15

AEG – 15

BEF – 13

BEG – 13

BCG – 12

The project duration will be 15 weeks.

The answer is

Employee A should work 3 weeks on activity F and the projects duration will be reduced to 15 weeks.

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