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Ch 11 Resource Constraints and Linear Programming The process of finding an optimum outcome from a set of constrained resources, where the objective function and the constraints can be expressed as linear equations. Drawing the Linear Model Standard Graph 2500 2000 1500 1000 500 0 0 500 1000 1500 2000 2500 Number of X units Adding the Linear Constraints Standard Graph: Constraints Added 2500 2000 1500 1000 500 Feasible 0 Region 0 500 1000 1500 2000 2500 Constraint 1 Constraint 2 Constraint 3 Number of X units Adding the Iso­Contribution Line The iso­contribution line is a ‘slope’ which represents the objective function. It is drawn as a generic line, then ‘floated’ to an optimum location within the feasible region. Partial Graph: Notional Iso-Contribution 2500 Line, and Constraints. 2000 Constraint 1 1500 1000 500 0 0 500 1000 1500 2000 2500 Constraint 2 Constraint 3 Iso Contribution Line Number of X units Finding the Optimum Point Float the iso­contribution line to an optimum position. Finished Graph: Optimum Iso-Contribution Line Floated Into Postion Against the Binding Constraints. 2500 2000 1500 1000 Optimum point. 500 0 Constraint 1 Constraint 2 Constraint 3 Iso Contribution Line Optimum Iso Contribution Line 0 500 1000 1500 2000 2500 Number of X units ... - tailieumienphi.vn
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