P4 [10pts]: A high-school program purchases a video-conferencing software for a new course on mathematics. The purchase price for the software is $X and the software allows unlimited number of students for one class. Every student enrolled in the class needs to pay a tuition fee of $Y. Administrative costs to run the course is $2 per student. A preliminary analysis shows that the program requires 100 students to break-even. School official realizes that they can get a 10% discount on the software cost (new software cost becomes 0.9 * X). Where would the new break- even point lie? (If you cannot give a numeric solution, you can also say whether it increases or decreases to get partial credit)