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The Department of Interior has named the Saratoga Mountain area a national park It is in the planning stages of developing a campsite over 500 acres of currently undeveloped land This campsite will

The Department of Interior has named the Saratoga Mountain area a national park. It is in the planning stages of developing a campsite over 500 acres of currently undeveloped land. This campsite will span the extremities of the park, from the proposed Mission Creek Campsite area in the west to the Wild Coyote campsite area in the east. Refer to Figure 1. At this time, all of the contracts for this project have been awarded. The project has been subdivided into ten individual activities, as shown in Table 1. Based on similar projects, it has been possible to estimate optimistic times, most probable times, and pessimistic times for most activities [Refer to Table 1]. Activities F and I are discussed in the following paragraphs. Activity I involves constructing one (narrow) paved two-lane road from Mission Creek in the west to Wild Coyote in the east. This work will be done by Harriman Construction Company. To minimize the costs, the department will pay Harriman to build the road of minimum distance between the two campsites. At a cost to the government of $25,000 per week, 200 feet of roadway can be completed in a week. If the cost is increased to $36,000 per week, the completion rate will increase to 250 feet per week. You can use shortest path to determine the number of linear feet. Due to the heavy brush and mountainous nature of the area, 12 possible dirt paths exist between the campsites. Neither Ellis nor Harriman is permitted to clear out additional areas for constructing either underground cable or the paved road. Thus, the electrical cable must be laid and the road must be built along areas of the dirt paths. Figure 1 provides a map of the possible dirt paths between campsites showing distances in feet. The grand opening of Saratoga Mountain National Park has been schedule for exactly 62 weeks from now. (a) Calculate and show the expected times and variances for each activity [A, B, C, D, E, G, H, J]. Determine times for F and I based upon your calculations of linear feet. (b) Construct the PERT network for this problem (c) Create an Activity Schedule [i.e., table showing ES, EF, LS, LF, slack] for the four options. (d) What are the activities on the critical path for each option? Explain your answer. (e) What is the expected completion time for each option? (f) What is the total cost for each option? (g) Based upon the costs and times determined for the four options without crashing, which one would you recommend? Explain your choice. (h) What is the standard deviation of the critical path in part (d) in each option? Based 8upon your recommendation in part (g), what is the probability of completing the project at most one week more than the expected time? (i) Based upon your recommendation given in part (g), would you suggest crashing any activities to meet the 62-week deadline? Explain your decision.

Aug 25 2020 View more View Less

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