Danny Featherweight is taking a tough course in law school.His professor agreed to give him a course grade of max{2x, 3y} where x and y are the number of answers he gets right on the first and second midterms, respectively.Danny needs a course grade of 150 to pass.He finds that for the first midterm, for every A minutes of study, he will get one more answer right.For the second midterm, for every B minutes that he studies, he will get one more answer right.If he doesn't study at all, Danny will get nothing right on either exam.All Danny cares about is passing.He doesn't want to waste any time getting a higher grade than he needs.
A)If A/B

Question

Danny Featherweight is taking a tough course in law school.His professor agreed to give him a course grade of max{2x, 3y} where x and y are the number of answers he gets right on the first and second midterms, respectively.Danny needs a course grade of 150 to pass.He finds that for the first midterm, for every A minutes of study, he will get one more answer right.For the second midterm, for every B minutes that he studies, he will get one more answer right.If he doesn't study at all, Danny will get nothing right on either exam.All Danny cares about is passing.He doesn't want to waste any time getting a higher grade than he needs.
A)If A/B < 2/3, then Danny will not study for the second exam.
B)The ratio of the time Danny spends on exam 1 to the time he spends on exam 2 will be 2A/3B.
C)The ratio of the time Danny spends on exam 2 to the time he spends on exam 1 will be 3A/2B.
D)If A < B, then Danny will not study for the first exam.
E)Danny will spend 150/(2A +3B)minutes studying for each exam.

Quizplus · Accepted Answer

C  A) If A/B < 2/3, then studying for the first exam is more efficient in terms of increasing his grade, so he will focus on the first exam.  C) The ratio of time spent on exam 2 to exam 1 is determined by the efficiency of gaining points, which is 3A/2B.

Danny Featherweight Is Taking a Tough Course in Law School