store has two types of animal feed available. Type A contains 2 pounds of oats and 9 pounds of corn per bag. Type B contains 3 pounds of oats and 4 ounds of corn per bag. A farmer buys both types and combines them so that the resulting mixture has at least 90 pounds of oats and at least 180 pounds of orn. The store only has 25 bags of type $$ A $$ feed and 30 bags of type $$ B $$ feed in stock. Let $$ x $$ be the number of type $$ A $$ bags purchased, Let $$ y $$ be the number of ype B bags purchased. Shade the region corresponding to all values of $$ x $$ and $$ y $$ that satisfy these requirements.

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To find the feasible region for the animal feed purchase, set up inequalities based on the oats and corn requirements, stock constraints, and non-negativity. Graph these inequalities to identify the region where all conditions are met. Calculate the vertices of this region by solving the equations of the lines at their intersections.

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