In a Cartesian coordinate system, the plane is divided into four quarters, or regions, by two axis which are vertical to each other. These axis are better known as the X and Y axis.
The regions are designated I, II, III, IV starting from the positive, positive region (both values of X and Y are positive) - region I, clockwise.
Region II is the region where coordinates are below the X-axis (negative) and right of the Y-axis (positive).
Region III is the region where both X and Y values are negative.
Region IV is the region where X values are positive and Y values are negative.
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Oh, dude, the maximum value of 3x + 4y in the feasible region is like finding the peak of a mountain in a math problem. You gotta plug in the coordinates of the vertices of the feasible region and see which one gives you the biggest number. It's kinda like finding the best topping for your pizza slice in a land of math equations.
The term Regions is a space in the shape that either is separated by lines or is surrounded by lines it also includes the outside of the shape. Run4Life :P
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