Salma will donate up to $$ \$ 500 $$ to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Salma would like the amount donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund. Let $$ x $$ denote the amount of money (in dollars) donated to the City Youth Fund. Let $$ y $$ denote the amount of money (in dollars) donated to the Educational Growth Foundation. Shade the region corresponding to all values of $$ x $$ and $$ y $$ that satisfy these requirements.

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The feasible region is the area on a coordinate plane where the amount donated to the City Youth Fund (x) and the Educational Growth Foundation (y) satisfy the inequalities $$ x + y \leq 500 $$ and $$ y \geq 4x $$. The region is bounded by the points (0, 500), (100, 400), and (500, 0), and is shaded below the line $$ x + y = 500 $$ and above the line $$ y = 4x $$.

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