A company makes two vitamin drinks A and B. Each litre of A requires nours processing and 3 hours distillation while each litre of B requires 7 hours processing and 1 hour distillation. The capacity of the factory is limited to 32 hours processing time and 10 hours distillation time. Profits from product A are $7 and from product B is $8. a) Determine the profit equation. b) Determine the system of inequalities (constraints). c) Graph/sketch the feasible region. d) 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