Linear Programming | OCR FSMQ 6993 | 40 Worked Examples

Forty fully worked examples on linear programming for OCR Level 3 FSMQ: Additional Mathematics (6993), the qualification that bridges GCSE Higher into AS and A-Level and carries up to 10 UCAS points. Every solution is broken down one line at a time with a plain-English note beside each step and OCR mark-scheme codes (M1, A1, B1) folded in on the real mark-earning lines, so students see exactly where the marks fall. Progressive difficulty runs from forming inequalities from a worded restriction, non-negativity constraints, axis intercepts and origin tests, through drawing a feasible region, finding vertices by solving boundary lines simultaneously and optimising a linear objective at each corner, up to whole-number (integer) optimisation, unbounded regions, multiple optima where the objective is parallel to a constraint, and detailed-reasoning (DR) and model-evaluation questions. Clear TikZ region graphs are drawn inline for the graphical questions, and the OCR shade-out convention (shade the region NOT required) is explained. Written to match authentic 6993 question style, spec area Coordinate Geometry (CG6 to CG8), degrees-only and calculator-permitted throughout. Ideal as a topic pack for classroom, homework or independent revision. Answers grade A to E.