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Pipeline Problem: Earl owns an oil lease. A new well in a field 300 m from a road is to
Chapter 10, Problem 3(choose chapter or problem)
Pipeline Problem: Earl owns an oil lease. A new well in a field 300 m from a road is to be connected to storage tanks 1000 m down that same road (Figure 10-4g). Building pipeline across the field costs $50 per meter, while building it along the road costs only $40 per meter. How should the pipeline be laid out to minimize its total cost?
Questions & Answers
QUESTION:
Pipeline Problem: Earl owns an oil lease. A new well in a field 300 m from a road is to be connected to storage tanks 1000 m down that same road (Figure 10-4g). Building pipeline across the field costs $50 per meter, while building it along the road costs only $40 per meter. How should the pipeline be laid out to minimize its total cost?
Step 1 of 3
Let us graph the situation
Let denote by A the point of the road where the new well is connected and by B is the meeting point of the pipeline build across the field, and denote that distance by x = AB