A two variables linear programming problem ( 80 points) Ana is a university student with 12 hours available daily, and she wants to distribute her time between study (x) and leisure (y) activities. She wants to maximize her total enjoyment while futfiling her university obligations. Ana considers leisure to be twice (2) as enjoyable as studying, but she atso believes that she should spend at least twice (2) as much time studying as she does co leisure activities. Additionally, she cannot spend more than five (5) hours a day on leisure activities to ensure that she has - enough time for her university obligations. (Note: the different colors above are tips meant to facilitate or guide you through the formulation of the model equations). The following questions need to be answered: Also, please answer the following questions: 5. (10 points) Classify the constraints in terms of active and non-active. 6. (10 points) How much additional enjoyment would Ana get if she had one more hour per day available, so 13 instead of 12 (dual price)