# There are three (and only three) paths through a network

1. There are three (and only three) paths through a network (project), each with a probability of completion in less than 24 months as indicated:a. S-a-b-F P1(<24) = .95b. S- d-e-F P2(<24) = .85c. S- g-h-F P3(<24) = .90If the tasks are independent, what is the probability of the network being completed within 24 months? Note: S is the start node, F is the finish node.2. You have been assigned to estimate the cost of installing fiber optic cable in a country. Fortunately, you have done a number of similar projects in this area in the past and you have accumulated the following parametric cost estimates based on this experience:Mobilization/demobilization Cost = \$10,000 Buried cable construction: Cost per kilometer = \$10,000 SandCost per kilometer = \$17,500 Sand & ClayCost per 100 meters = \$ 5,500 RockOverhead cable installation: Cost per kilometer = \$ 7,500Cost per Road Crossing = \$12,500Cost per pipeline Crossing = \$ 5,000The scope of the new project is as follows:Predominately sand 150 kmPredominately sand & clay 100 kmRock 500 metersoverhead XXXXXcrossings 3 pipeline crossings 5 Estimate the cost of construction for this project. Assume the estimates are fully loaded, ie they include labor, materials, applicable indirect costs such as overhead, etc. Must show your work.