A really nice Math Professor gives out large sums of cash for correct answers in class. Each student gets $1000 for each of their first three correct answers (paid by the Professor to the student), each student then gets $500 for each of their next 24 correct answers, while for every subsequent correct answer they make, the student has to pay the Professor $5, as a fine for talking too much.
Write a Matlab function file that inputs the number of correct answers, and outputs the amount of money the student receives (or pays).
How many correct answers from any individual student does it take before the Math Professor starts to make a profit from I hat student?