I should post this 23 years ago...

Calculus Level 4

Given an expression \(A\) such that \[A={x}^{2}+15{y}^{2}+xy+8x+y+1992\]

For some \(x,y\in R\), \(A\) reaches its minimum possible value of \({A}_{1}\), which can be expressed as \(a + \frac { b }{ c } \), where \(a,b,c\) are positive integers with \(b,c\) coprime and \(b<c\).

Determine \(a+b+c\).

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