Answer:
a. be Professor Goodheart's but could not be Professor Stern's
Explanation:
In this exercise, you should consider the indifference curve which refers to the curve that represents the preferences of an individual. The slope curve is known as Marginal Rate of Substitution (MRS). An indifference curve of normal goods is downward sloping and convex to the origin.
When the indifference curve has a slope equal to zero, the marginal rate of substitution is equal to zero as well. When Nancy scores 30 marks in each of the subject, the marginal rate of substitution is zero. In this case, she marks 50 in one of the subject, which must belong to Professor Goodheart as he counts Nancy´s best midterm grade.