Consider the following linear programming problem: Maximize p = 5x + 10y subject to 3x - 2y ≤ 30 4x + y ≥ 20 x + y ≤ 10 x ≥ 0, y ≥ 0 (a) Construct the initial simplex tableau associated with the problem above. (b) Perform one iteration of the simplex method and write down the resulting simplex tableau. What is the feasible solution associated with this new tableau? Is it optimal? Justify your answer.
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