Quest 2. Develop Equations of following case. Because of the industrious nature of the faculty members involved, the Department of Management Sciences at a well-known university consumes a large amount of 81/2 x 11 lined paper. One of the secretaries, with eht aid of a graduate student, has developed the following procedure: Once a week(at 5 p.m. on Friday), she reviews the stock level. If there are 20 or fewer pads, she orders 100 additional pads, which always arrive late on the next Tuesday. If there are more than 20 pads on the shelf, she does nothing until at least next Friday. Assume that the faculty's needs follow a Poisson distribution with the following rates (in pads/day): Day Sun Mon Tue Mean 0.5 2 2 Wed 2 Thu 2 Fri 2 Sat 0.5 If a professor needs a pad of paper and none are available, he rushes over to the university boookstore (or to an outlet in the local community) and buys the pad.