Just need the minimizing cost done in the document. Please i had a tutor do it, but not based on the diagram I sent. Please review the document, and I will pay what is needed. ( I will also need "The

Calculus I Signature Assignment

Permission Granted from Salt Lake CC by Suzanne Mozdy for use of their Pipeline Problem (July 2018)

The U.S. Interior Secretary recently approved drilling of natural gas wells near Vernal, Utah. Your company has begun drilling and established a high-producing well on the Bureau of Land Management (BLM) ground. They now need to build a pipeline to get the natural gas to their refinery.

While running the line directly to the refinery will be the least amount of pipe and shortest distance, it would require running the line across private ground and paying a right-of-way fee. There is a mountain directly west of the well that must be drilled through in order to run the pipeline due east. Your company can build the pipeline around the private ground by going 15 miles south and 45 miles west to the refinery (see figure above). Cost for materials, labor and fees to run the pipeline across BLM ground is $350,000 per mile.

Cost of drilling through the existing mountain would be a one-time cost of $5,800,000 on top of the BLM ground costs ($350,000 per mile) of the pipeline itself. Also the BLM will require an environmental impact study before allowing you to drill through the mountain. Cost for the study is estimated to be $150,000 and will delay the project by 6 months costing the company another $78,000 per month.

For any pipeline run across private ground, your company incurs an additional $110,000 per mile cost, for right-of-way fees, on top of the BLM ground costs ($350,000 per mile) of the pipeline itself.

Your company has asked you to look at the different possible pathways to determine the most cost efficient. Create a presentation of your finding to submit to your company’s CEO and other superiors.

Part3: Minimizing Cost Determine the cost function for the pipeline for the configuration involving running from the well across the private ground at some angle and intersecting the BLM ground to the south and then running west to the refinery.

1. Use this function to find the optimal way to run the pipeline to minimize cost. Determine the following…

   1. The length of pipe that runs across private land.

   2. The length of the pipe that runs on BLM land.

   3. The angle at which your optimal path leaves the well (angle of depression).

Clearly show all work including drawing the pipeline on the figure above. Make it very clear how you use your knowledge of calculus to determine the optimal placement of the pipeline.

1. Include a computer generated graph of the optimal cost function, “C(x)”, for this pipeline for any configuration involving crossing some private ground as well as some BLM ground. Make sure to use the correct domain of the