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Question

a drilling rig 12 miles offshore is to be conneced by a pipe to a refinery onshore, 20 miles down the coast from the rig. If underwater pope costs $50,000 per mile and land-based pipe costs $30,000 per mile, what values of x and y give the least expensive connection?

Answer 1

Rig-to-shore length: 15 miles
Shore-to-refinery: 11 miles

Total (minimum) cost: $1,080,000

Solved graphically to 2 decimal places using Excel.

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