Problem 1 (Single-Period Inventory Model) (3 points) Sally's Silk Screening produces specialty T-shirts that are primarily sold at special events. She is trying to decide how many to produce for an upcoming event due to the exact demand is not known. For any unsold T-shirts at the end of the event, she plans to make clearance sales to empty the inventory. Sally provides below data information: It costs her $8 to produce each T-shirt, which is then sold at $20 per piece during the event. However, when the event ends, any unsold T-shirts will be sold for $4 each piece instead. After collecting data over a few years, she had found that, on average, 550 T-shirts were sold at the event with a standard deviation of 185 T-shirts. Based on the above information, you are asked to help Sally figure out the optimal quantity of T-shirts she should produce for selling at the upcoming event. Please note, the calculation process is required to support your recommended production quantity for Sally