A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a larger bookcase and 2 hours to make a small bookcase. The profit on a large bookcase is $50 and the profit on a small bookcase is $20. The carpenter can spend only 24 hours per week making small bookcases and must make at least 2 of each size per week. Determine how many large and small bookcases the carpenter should build to maximize the profit? What is the maximum profit? 1. Define the variables 2. Write a system of inequalities 3. Graph 4. Coordinates of a feasible region 5. Objective function 6. Substitution of coordinates 7. Maximum or minimum profits.