Consider the LPP of minimizing 1+422-2x3 subject to the constraints 3x1+x+x3 12, 1 0,22...

 

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Consider the LPP of minimizing 1+422-2x3 subject to the constraints 3x1+x₂+x3 ≥ 12, 1 ≥ 0,22 ≥ 0, and 5 ≥ 3 ≥ 1. (a) Graph the feasible set in R³. (b) Using your graph from part (a) identify all the extreme points. Note: you do not need to prove that these are extreme points, it's ok here to rely on your geometric intutition. Consider the LPP of minimizing 1+422-2x3 subject to the constraints 3x1+x₂+x3 ≥ 12, 1 ≥ 0,22 ≥ 0, and 5 ≥ 3 ≥ 1. (a) Graph the feasible set in R³. (b) Using your graph from part (a) identify all the extreme points. Note: you do not need to prove that these are extreme points, it's ok here to rely on your geometric intutition.