You are taking a test to pass the course. There are 3 type of questions, long-answer, short-answer, and multiple-choice. You must finish the final in two hours and twenty minutes. Each long-answer question takes about 15 minutes to solve. Solution times for each short-answer and multiple-choice questions are 6 and 3 minutes, respectively. You will get these credits if you solve the questions correctly; 25 for long-answer, 15 for short-answer, and 5 for multiple-choice. You are trying to get as many as credits you can. You must solve at least two long-answer, at least five short-answer, and at least fifteen multiple-choice questions. The final has 5 long-answer, 10 short-answer, and 25 multiple-choice questions. One last thing, since you studied very hard, if you try to solve any of the questions, you can easily solve them correctly.

Formulate this scenario as a Linear Programming problem.