Consider the feasible region is given by inequalities [math]x,y,z\ge0[/math] , [math]x+2y+z\le4[/math], [math]3x+2y+z\le6[/math].[br]Suppose you maximize the function [math]u=3x+2y+z[/math]. [br]And let [math]r,s[/math] be your slack variables.[br][br]QUESTIONS[br]1. Identify ALL the solutions of the linear problem from the graph.[br]2. For each of the 6 corner points of the region, identify the corresponding non-basic variables. [br]3. Write the objective function in terms of the non-basic variables at the point (0,0,4).