1. Find the coordinates of all of the vertices of this solid and make as accurate a sketch as you can of it.
2. Find the maximum value of the function f(x, y, z) = 2x − y + z on this solid and determine at which point(s) of the solid this maximum occurs.
Note: In this context the inequalities deﬁning the solid are called linear constraints. Problems involving the optimization of a linear function subject to linear constraints arise often enough to be pretty important in the real world.
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