David a car dealer had to stop working temporarily due to the health and safety restrictions imposed by the government due to the COVID 19 crisis. he started to make two types of children's wooden toys in her basement, cats (C) and dogs (D). Cats yield a contribution margin of $9 each and dogs have a contribution margin of $8 each. Since his electric saw overheats, Kathleen can make no more than 7 cats or 14 dogs each day. Since he doesn't have equipment for drying the lacquer finish that he puts on the toys, the drying operation limits her to 16 cats or 8 dogs per day. David wants to know what is the combination of cats and dogs that she should make each day to maximize his profits, subject to his constraints. a) Formulate a linear programming problem to depict David's objective algebraically. b) What are the corner points in David's feasible region? c) Solve this problem using the corner point method. Find the optimal combination of cats and dogs. What is the optimal profit at that combination?