Use the following management scientist output to

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Use the following Management Scientist output to answer the questions. MIN 4X1+5X2+6X3 S.T. 1) X1+X2+X3<85 2) 3X1+4X2+2X3>280 3) 2X1+4X2+4X3>320 Objective Function Value = 400.000 Variable Value Reduced Cost X1 0.000 1.500 X2 80.000 0.000 X3 0.000 1.000 Constraint Slack/Surplus Dual Price 1 5.000 0.000 2 40.000 0.000 3 0.000 1.250 OBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit X1 2.500 4.000 No Upper Limit
X2 0.000 5.000 6.000 X3 5.000 6.000 No Upper Limit RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit 1 80.000 85.000 No Upper Limit 2 No Lower Limit 280.000 320.000 3 280.000 320.000 340.000 a. What is the optimal solution, and what is the value of the profit contribution? b. Which constraints are binding? c. What are the dual prices for each resource? Interpret. d. Compute and interpret the ranges of optimality. e. Compute and interpret the ranges of feasibility.

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