For the white-out football game there are 2000 student tickets total. 1000 of them have already been given out to the students who have season tickets. The remaining tickets are released to the student population 8 days before the game, and the order for the white-out t-shirts that the SAA will give to all student ticket holders at the game must be placed 2 days before the game. SAA will only guarantee a shirt for students who have claimed their ticket by that time. Each shirt has a cost of $8. 4 days before the game, 750 of the non-season tickets have been claimed, and each of the remaining tickets has a 75% chance of being claimed before the last order can be placed 2 days before the game, and the t-shirt printing company has oered to allow SAA to place an advance order for t-shirts at a reduced price of $6 per shirt. Whether SAA choses to place an order 4 days in advance or not, they can still place an order at the original order point of 2 days before the game. Determine whether SAA should place an early order for the t-shirts or not 4 days before the game, and if they do, how many shirts should they order?