Please show all steps and explain the solution to this Linear Optimization problem (from Roy H. Kwon textbook Intro to Linear Optimization & Extensions with MATLAB).

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Exercise 2.5 Consider the constraints 2014-02 21+22 ₁ ≥ 0,2 ≥ 0. VI VI VI 35 542 S4 ≤2 (a) Sketch the feasible region. (b) Convert the constraints to standard form and find all basic feasible solutions. (c) Identify the extreme points in the original constraints. Exercise 2.5 Consider the constraints 2014-02 21+22 ₁ ≥ 0,2 ≥ 0. VI VI VI 35 542 S4 ≤2 (a) Sketch the feasible region. (b) Convert the constraints to standard form and find all basic feasible solutions. (c) Identify the extreme points in the original constraints.