Calculus Team Assignment #1
(Justin Hooper, Jon Lu, Kullo Sam)
Objective: To incorporate the tools of calculus in a real life
situation, and to improve
student communication skills.
Overview: Our oil company wishes to construct a pipeline from
an offshore rig to
the refinery. The rig is located 8 miles from shore and the refinery is 5 miles
inland,
7 miles due east of the rig.
The
cost of building the pipeline has been determined to be $5 million per mile
offshore
and $3.5 million per mile on land.
Therefore, the cost of the line depends
upon the placement of the shoreline
junction. Your team must find the most
economical placement of the junction.
Project:
1)
Find a
function that describes the total cost of the pipeline.
2)
Analyze
some sample pipeline routes and their corresponding costs. Present this in
an Excel spreadsheet. Also present a graph of the data.
3) Use calculus to determine the exact placement of the
junction that minimizes cost.
4) Present your findings in a written report. Use MS Word and include all tables, charts,
and equations (use Equation Editor found in Word).
5) Prepare a Power Point presentation of your report.
6) Upload your report to a Webpage.
7) This assignment is due on my desk at 9:00 am,
Thursday, Dec. 6.
8) Choose a team member to present the Power Point
to the Calculus I class that same morning over the Pictel system
Where do we put the junction to
minimize cost?

13 miles