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3.2 Linear programming
3.2 Linear programming
Welcome 3.2 Linear Programming at Takapuna Grammar School. It is a 4 week course that ends with an internal exam. Below you have an outline of the skills and concepts covered. To the left (or below on a small screen) you have the course drive with resources such as theory notes and administrative information.
Exam content
Exam content
Practice exam : Olivia's orchard. Solution, Video tutorial for achieved, merit and excellence.
Previous exams (example): Ted's tomatoes. Solution
Previous exams (example): Zenon's xylophones
How to use Desmos to graph equations, inequalities and restrictions.
How to use Desmos to graph equations, inequalities and restrictions.
Identify and evaluate equations at critical points of the feasible region
Identify and evaluate equations at critical points of the feasible region
Identify constraints and turn them into in-equations
Identify constraints and turn them into in-equations
Determine the optimal outcomes of a range of different optimisation problems
Determine the optimal outcomes of a range of different optimisation problems
Make explicit recommendations based on your findings
Make explicit recommendations based on your findings
Reformulate real world problem into linear optimisation problems
Reformulate real world problem into linear optimisation problems
Determine the optimal outcomes of a range of different optimisation problems
Determine the optimal outcomes of a range of different optimisation problems
Identify feasible whole point solutions in the vicinity of critical points
Identify feasible whole point solutions in the vicinity of critical points
Identify multiple solutions
Identify multiple solutions
Analyse how changes in constraints affect optimal solutions.
Analyse how changes in constraints affect optimal solutions.
How to use the gradient of constraints and the objective function to determine the existence of multiple solutions.
How to use the gradient of constraints and the objective function to determine the existence of multiple solutions.
Create and solve your own linear programming problems.
Create and solve your own linear programming problems.
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