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You have been hired as a consultant for Ohio Gas & Electric (OHG&E) and you role is to minimize the costs associated to an upcoming

You have been hired as a consultant for Ohio Gas & Electric (OHG&E) and you role is to minimize the costs associated to an upcoming project.The map on the next page is a section of a U.S Geographical Survey Contour Map of northeast Ohio[1] with wetland (swamp) area outlined for clarity.An existing terminal is located at point B. If a new terminal is to be installed at point A, help OGH&E determine where to lay connecting pipe. The following information is provided by the company:

  • Straight, two-inch coated pipe must be used at a cost of $1.50/ft
  • A maximum of two elbow joints may be used. Assume that the elbow joints may be fabricated with any angle measure.
  • In crossing normal terrain, installation cost is $1.20/ft
  • Installation in the wetland area requires an addition Track Hoe at a cost of $60/hr
  • In a 10 hour day, a Track Hoe can dig approximately 300 feet of trench.

1. Determine the pipeline route connecting the new well at A to the well at B which incurs the least cost.

[1] http://geosurvey.ohiodnr.gov/publications-maps-data/topographic-maps

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