3. Nancyhas to take two examinations. Her overall grade for the course will be the maximumof her scores on the two examinations. Nancy decides to spend a total of 400 minutesstudying for these two examinations. If she spends m1 minutesstudying for the first examination, her score on this exam will be x1= m1/5. If she spends m2 minutesstudying for the second examination, her score on this exam will be x2= m2/10.

(1) Please draw and label the indifference line.

(2)Does Nancy haveconvex preferences?

(3) Please draw and label the budgetline.

(4) Find the point on Nancy's budget line that gives her the bestoverall score in the course.

求解答，谢谢