# Linear Programming graphically in 3d

Consider the feasible region is given by inequalities , , .
Suppose you maximize the function .
And let be your slack variables.
QUESTIONS
1. Identify ALL the solutions of the linear problem from the graph.
2. For each of the 6 corner points of the region, identify the corresponding non-basic variables.
3. Write the objective function in terms of the non-basic variables at the point (0,0,4).

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