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MathNet 2006 — Part 02 Question 12

Math Olympiad Vault · MathNet 2006 — Part 02

Question 12

An airline company has 9 airplanes, all of different models, and 13 pilots. Training each pilot to fly each plane costs \$1000. Each day 9 of the pilots are drawn to fly the planes and the other 4 have the day off.

Find the minimum amount that should be invested in pilot training to ensure that all planes fly every day, regardless of the pilots drawn. (Each day, each pilot flies only one of the planes.)