Question: Consider the following equation: Maximize 4x1 + 2x2 + 5x3 Subject to 1x1 + 2x2 + 1x3 s 25 1x1 + 4x2 + 2x3 s

Consider the following equation: Maximize 4x1 + 2x2 + 5x3 Subject to 1x1 + 2x2 + 1x3 s 25 1x1 + 4x2 + 2x3 s 40 3x1 + 3x2 + 1x3 s 30 X1, X2, X3 2 0 a. Determine the range of feasibility for each constraint. Range of Feasibility Constraint 1 Constraint 2 Constraint 3 b. Determine the range of optimality for the coefficients of the objective function. Range of Optimality Variable 1 (x); Variable 2 (x2): Variable 3 (x3)

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