linear programming advanced math topics mrs. mongold
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Linear Programming
Advanced Math Topics
Mrs. Mongold
Linear Programming
• Def: A process that can be used to solve certain decision-making problems where a linear combination is to be maximized or minimized
Linear Combination
• Def: An expression in the form of ax + by where “a” and “b” are constants– f(x, y)= 12x + 15y
Constraints
• Def: Any condition that must be met by a variable or by a linear combination… a system of linear inequalitiesExample: 3x + 2y < 12, x > -4, y > -4
Feasible Region
• Def: the graph of the solution of a system of inequalities that meets all given constraints… the points that make all of the constraints true!
• This will form a shape
Corner Points Principle
• Def: The Maximum of Minimum value of a linear combination will occur at one of the vertices of the feasible region.
Worksheet
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