Caitlin wants to make two types of children's wooden toys in her basement, cars (C) and dolls (D). Cars yield a contribution margin of $9 each and dolls have a contribution margin of $8 each. Since her electric saw overheats, Caitlin can make no more than 7 cars OR 14 dolls each day. Since she doesn't have drying equipment, the dying operation limits her to 16 cars OR 8 dolls per day. Caitlin wants to know what is the combination of cars and dolls that she should make each day to maximize her profits, subject to her constraints.

a) Formulate a linear programming problem to depict Caitlin's objective algebraically.

b) What are the corner points in Caitlin's feasible region?

c) Solve this problem using the corner point method. Find the optimal combination of cars and dolls. What is the optimal profit at that combination?