Q-RAM Inc. manufactures solid-state drives (SSDs) of two sizes, 500 GB and 1.5 TB. The company can make a total of 60 drives per day, and it has available 120 labor-hours per day. It takes 1 laborhour to make a 500 GB drive and 3 hours to make a 1.5 TB drive. The profits are $40 per 500 GB drive and $60 per 1.5 TB drive.

(a) Write the simplex matrix to maximize the daily profit.

(b) Find the maximum profit and the number of each type of drive that will give the maximum profit.