Using Lagrange multipliers to find minimal cost. We have drilled a new well in a

Question

Using Lagrange multipliers to find minimal cost. We have drilled a new well in an area with soil consisting mainly of sand and need to connect the well to a storage tank 17 miles away via an underground pipeline. The well is separated from the storage tank by areas of different types of soil, as pictured in the simplified diagram below. It costs our company $3 million dollars per mile to dig through clay, $10 million dollars per mile to dig through sandy soil, and $5 million dollars per mile to dig through rocky soil. We will be connecting the pipeline to the tank via an existing pipeline that runs to the west from the storage tank. It will only cost $1 million per mile for each mile from the connection point to the storage tank. We need you to prepare a cost analysis for laying the pipeline from the well to the storage the existing line re a cost analysis for laying the pipeline from the well to the storage tank via In your analysis, please indicate the path we should lay the pipe to minimize the cost of our project as well as an estimate of how much it would cost to complete the project if we follow this path. We need a cost comparison between what you calculate and the price for laying the pipe directly from the well to the storage tank or directly from the well to the existing pipeline. We also need a thorough explanation of how you reached your conclusions.

Explanation / Answer

this the question of well of book

Well-Drilling Methods

chapter 6

page 112

question 13

i have the solution in pdf form so can you please give me your id for sendind the solution.

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.