A company makes two vitamin drinks A and B. Each litre of A requires 4 hours

processing and 4 hours distillation while each litre of B requires 5 hours processing and 3 hours distillation. The capacity of the factory is limited to 160 hours processing time and 120 hours distillation time. Profits from product A are $7 and from product B is $8.

1. Determine the profit equation. (2 marks)
2. Determine the system of inequalities (constraints). (4 marks)
3. Graph/sketch the feasible region. (3 marks)
4. Identify (with calculations) all applicable corner points. If the company can sell the entire product they can produce, how many of each type should it make in order to maximize profit? (6 marks)