| Exam Board | AQA |
| Module | Further AS Paper 2 Discrete (Further AS Paper 2 Discrete) |
| Year | 2023 |
| Session | June |
| Topic | Linear Programming |
3 Ben is packing eggs into boxes, labelled Town Box or Country Box.
Each Town Box must contain 10 chicken eggs and 2 duck eggs. Each Country Box must contain 4 chicken eggs and 8 duck eggs.
Ben has 253 chicken eggs and 151 duck eggs.
Ben wants to pack as many boxes as possible.
Formulate Ben's situation as a linear programming problem, defining any variables you introduce.