Modelling with Linear Relationships
Finding the optimal solutions

Modelling with Linear Relationships

Linear Algebra Skills

• Finding the gradient between coordinates
• Graphing linear equations (slope-intercept form)
• Graphing linear equations (general form)
• Vertical and horizontal lines
• Finding equations of linear graphs in slope-intercept form (part 1)
• Finding equations of linear graphs in slope-intercept form (part 2)
• Finding equations of linear graphs in general form

Solving Simultaneous Equations (Cycling Puzzle Series)

• Introduction (Cycling Puzzle Part 1)
• Graphical solution (Cycling Puzzle Part 2)
• Solution by substitution (Cycling Puzzle Part 3)
• ​Solution by elimination (Cycling Puzzle Part 4)​

 ​The Feasible Region (Fete Stall Series)

• Introduction (Fete Stall Part 1)
• Graphing the feasible region (Fete Stall Part 2)
• Defining the feasible region (Fete Stall Part 3)
• Setting up additional constraints (Fete Stall Part 4)

​​Linear Programming Skills

• Constructing constraints
• Graphing constraints
• Finding the optimal solution
• Considering Wastage
• Dealing with Discrete Only Solutions

An optimal solution of a linear expression over a simplex occurs at a vertex of the simplex.