Minimal answer possible. Are there a finite or infinite set of solutions that would satisfy this equation? If there are a finite set of solutions, what would it be? $$(2x+2y+z)/125\leq9.5$$ where $x$, $y$ and $z$ $\leq$ 250. Also $x$, $y$, and $z$, have to be integers.

Let a = 250 - x, b = 250 - y, c = 250 - z when the equation becomes: 2(250 - a) + 2(250 - b) + 250 - c < 125(9.5) ===> 4a + 4b + 2c > -875/2 and a, b, c are now whole numbers. So if this condition was now in effect then there are infinitely many solutions.
