Suppose that midterm grades determine your nal course grade putting the Midterm 1 grade on the horizontal axis and the Midterm 2 grade on the vertical axis, draw indifference curves describing your preferences in the following scenarios. In addition, write down a utility function that is consistent with the preferences in each case.
(a) Each midterm is worth 50% of your nal grade.
(b) Midterm 1 is worth 25% and Midterm 2 is worth 75% of your nal grade.
(c) The lower of your two midterms is worth 100% of your nal grade.
(d) The higher of your two midterms is worth 100% of your nal grade.