Let x1 be the number of machine part I and x2 be the number of machine part II Objective Function: Max P = 50x1 + 100x_2 subject to: 10x 1 + 5x 2 ≤ 2500 4x 1 + 10x 2 ≤ 2000 x_1+1.5x_2 450 x_1, x_2 ≥0 Solve the given LP Problem using simplex method and perform the sensitivity analysis. Find the optimality range.

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