Problem 6 Prof. Olimov always gives two midterms in his Intermediate Micro class. He only uses the higher of the two midterm scores when calculating the course grade. a) Tanner from

Prof. Olimov's class wants to get the highest possible grade in the class. Let x₁ be his score in the first midterm and x2 be his score in the second midterm. Which combination of scores would Tanner prefer, (x1,x2) = (20,70) or (x1,x2) = (60,60)? b) On the graph draw an indifference curve showing all combinations of scores that Tanner likes exactly as much as (x1,x2) = (20,70)./nc) On the graph draw an indifference curve showing all combinations of scores that Tanner likes exactly as much as (x1,x2) (60, 60). = d) Does Tanner have convex preferences over these combinations? e) Tanner is also taking a course in survival skills from Prof. Pear Grylls. The course also has two midterms. Instead of using the highest score from the two midterms, Prof. Pear Grylls uses the lowest score from the two midterms. Let x₁ be Tanner's score in the first midterm and x₂ be Tanner's score in the second midterm. Which combination of scores would Tanner prefer, (x₁,x2) = (20,70) or (x₁,x2) = (60,50)?/nf) On the new graph draw an indifference curve showing all combinations of scores that Tanner likes exactly as much as (x₁,x2) = (20,70). g) On the same graph draw an indifference curve showing all combinations of scores that Tanner likes exactly as much as (x1,x2) = (60, 50). h) Does Tanner have convex preferences over these combinations?