problem! dartboard

[dcowboys107]

You can throw as many darts at the board below as you want to throw. Some total scores are impossible to obtain -- for example, all numbers less than 5, as well as 6, 8, and 9.

What is the highest whole number score that is impossible to obtain?
Extra Credit: Can you come up with an algorithm or rule to determine the largest impossible score for any two whole numbers on the dartboard?

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[stapel]

The following links should help you get started:

. . . . .Ask Dr. Math: McNuggets

. . . . .UCSD Math Club: Chicken McNumbers

. . . . .Mind Games: Darts Anyone?

If you get stuck, please reply showing your work and reasoning. Thank you.

Eliz.