The Delaware School of Business (DESB) would like to admit "perfect students" with SAT scores of 1600 and other illustrious achievements. Given that it does not get enough perfect students applying to the School to fill a class, virtually all admits have SAT scores below 1600. This creates a "loss" to the School in that its prestige is diminished (e.g., its ranking in U.S. News is reduced). The School estimates that for a student with an SAT score of 1400, the loss is 100 prestits (a prestit is a "prestige unit", a measure of prestige). Further, the school feels the loss function is given by: Loss in prestits = k (t - x)^2, where k is some constant, t is the target score of 1600, and x is the SAT score for an admitted student. The School observes that SAT scores of its admits are roughly normally distributed with a mean of 1380 and a standard deviation of 60. What is the loss the school experiences (in prestits) for an average student?