1. Time-cost Trade-off: Dr. Denton Fender, a noted geologist has discovered a site that she believes may hold a large deposit of natural gas. To test for the possible presence of natural gas, she proposes to drill a test hole, set of small explosive charge, and use the resulting seismic pattern to indicate the likely presence or absence of natural gas. The process of testing a likely site has been divided into 8 tasks. Dr. Fender has estimated the times and costs of each task assuming normal conditions as well as the times and costs of each task assuming a crashed or reduced condition. This information is indicated in the table
that follows: Immediate Normal Expedited Expedited Task Predecessor Time Time Normal Cost Cost A - 7 6 200 400 B A 10 6 600 1000 C A 12 9 625 1000 D B 6 5 700 800 E B 9 8 200 500 F C,D 9 5 400 840 G E 14 10 1000 1800 H F,G 10 8 1000 1460 1.
Determine project duration with normal times. Path
Duration
ABEGH
50
ABDFH
42
ACFH
38
The project duration with normal times is 50 days. 2.
Given the importance of new sources of natural gas, she wants to consider possible shorter scenarios; thus she should like you to reduce the project by 10 days. What tasks she has to expedite? What is the extra cost she has to incur?
