Hana takes two examinations. Her overall grade for the course will be the maximum of her scores on the two examinations. She decides to spend a total of 400 minutes studying for these two examinations. If she spends 1 minutes studying for the first examination, her score on the exam will be 11 x=m 5. If she spends 2 minutes studying for the second exam, her score on this exam will be 22 x=m 10
(1) Draw a "budget line" showing the various combinations of scores on the two exams that she can achieve with a total of 400 minutes of studying.
(2) Draw two or three indifference curves for Hana.
(3) Find her optimal choice. What is her overall score for the course?