Solve the following Linear Programming problem using either the method of corners or the simplex method. A company manufactures two models of chairs, A and B on machines I and II. It has been determined that the company will realize a profit of $100/unit for model A, and $80 per unit for model B. To manufacture, Model A requires 10 minutes of time on machine I and 20 minutes on machine II. Model B requires 10 minutes of time on machine I and 10 minutes of time of machine II. There are a total of 10 hours of time available on machine I and 15 hours of time available on machine II. How many of each model of chair should be produced to maximize the company's profit? What is the maximum profit