Definition: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
Input: Problem: a prize of $ 1200 is to be distributed among 40 winners, each of whom must be awarded at least $ 40. if 2 / 5 of the prize will be distributed to 3 / 5 of the winners, what is the greatest possible individual award ?
Options: a. $ 100, b. $ 120, c. $ 280, d. $ 300, e. $ 360
Output:
b