Quantitative Management Chapter 2
An equation or inequality that rules out certain combinations of decision variables as feasible solutions.
The process of translating the verbal statement of a problem into a mathematical statement called the mathematical model.
A controllable input for a linear programming model.
A set of constraints that requires all variables to be nonnegative
A representation of a problem where the objective and all constraint conditions are described by mathematical expressions.
Linear Programming Model
A mathematical model with a linear objective function, a set of linear constraints, and nonnegative variables.
Another term for linear programming model
Mathematical expressions in which the variables appear in separate terms and are raised to the first power.
A solution that satisfies all the constraints.
The set of all feasible solutions.
A variable added to the left hand side of a less-than-or-equal to constraint to convert the constraint into an equality. The value of this variable can usually be interpreted as the amount of unused resource.
A linear program in which all the constraints are written as equalities. The optimal solution of the standard form of a linear program is the same as the optimal solution of the original formulation of the linear program.
A constraint that does not affect the feasible region. If a constraint is redundant, it can be removed from the problem without affecting the feasible region.
Graphically speaking, extreme points are the feasible solution points occurring at the concerns of the feasible region
A variable subtracted from the left-hand side of a greater-than-or-equal-to constraint to convert the constraint into an equality.
Alternative Optimal Solution
The case in which more than one solution provides the optimal value for the objective function.
Does not satisfies all the constraints.
If the value of the solution may be made infinitely large in maximization linear programming problem or infinitely small in a minimization problem without violating any of the constraints.
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