Reshma has to make a decision on how much time to spend on a Job and Business. On the Job , Reshma is only limited to 3 hours of Research, 20 hours of writing and 4 hours of working and she will be paid $6. If she is doing business, she will be getting $4 but limited to 12 hours of research, 4 hours of writing and 6 hours of working. Suppose that Reshma has only 240 hours of research, 460 hours of writing and 300 hours of working. Detriment how many hours she will spend on each type in order to maximize her profit (income).

1. Formulate the linear programming
2. Solve the problem using simplex method