1. Min Z = 5x + x subject to 2x + X 6 x +...
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1. Min Z = 5x₁ + x₂ subject to 2x₁ + X₂ ≥ 6 x₁ + X₂ ≥ 4 2x₁ + 10x₂ ≥ 20 X1, X₂ ≥ 0 a) Solve the LP model using the graphical method and determine the optimal solution. b) Calculate slack/surplus for each constraint. c) If the RHS of constraint I increases by 1, by how much would the objective function value change? d) If the RHS of constraint 2 increases by 1, by how much would the objective function value change? 1. Min Z = 5x₁ + x₂ subject to 2x₁ + X₂ ≥ 6 x₁ + X₂ ≥ 4 2x₁ + 10x₂ ≥ 20 X1, X₂ ≥ 0 a) Solve the LP model using the graphical method and determine the optimal solution. b) Calculate slack/surplus for each constraint. c) If the RHS of constraint I increases by 1, by how much would the objective function value change? d) If the RHS of constraint 2 increases by 1, by how much would the objective function value change?
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a To solve the LP model using the graphical method we first plot the three constraint equations on a graph and shade the feasible region which is the region that satisfies all the constraints Then we ... View the full answer
Related Book For
Managerial Decision Modeling With Spreadsheets
ISBN: 9780136115830
3rd Edition
Authors: Nagraj Balakrishnan, Barry Render, Jr. Ralph M. Stair
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