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Ahh, need Linear Algebra help

*In a certain class, each exam is worth 100
*Three exams count for 20%, 30%, and 50% of grade
*Person wants to score 76%
*What should he score to minimize a^2+b^2+c^2?

I'm sure it has something to do with Cauchy Schwartz, but how do I do it??
 
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