Consider the following optimization problem Minimize z = x1 + 3x2 subject to 3x1 − 2x2 ≤ b1 x1 + 3x2 = 2 x1, x2 ≥ 0 (a) Solve the linear program graphically for b1 = 2. (b) By adjusting b1, determine graphically the range of b1 for which the solution stays optimal. (c) What is the range of the objective value for the range of b1 in Part(b)?

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