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Linear programming
Linear programming
Welcome to the 2020 edition of 3.2 Linear Programming at Takapuna Grammar School. It is a 4 week course that ends with an internal exam. To the left (or below on a small screen) you will find the course outline, the daily and weekly planner and other administrative information that might be useful for you. Below you have all the course material organised in modules by week.
At the end of this week you will be able to
At the end of this week you will be able to
Know the basics of how to use Desmos.
Plot points, equations and inequations.
Solve simultaneous linear inequations and find their points of intersection.
Identify and evaluate equations at critical points of the feasible region.
Identify constraints and turn them into in-equations.
Determine the optimal outcomes of a range of different optimisation problems.
Make explicit recommendations based on your findings.
At the end of this week you will be able to
At the end of this week you will be able to
Reformulate real world problem into linear 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 multiple solutions.
At the end of this week you will be able to
At the end of this week you will be able to
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.
Create your own linear programming problems.
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