Cost of Production: $10 per T-shirt Selling Price at Event: $20 per T-shirt Clearance Sale Price: $4 per T-shirt post-event Historical Demand: On average, 550 T-shirts with a standard deviation of 185 The specifics are as follows: Cost of Production: $10 per T-shirt Selling Price at Event: $20 per T-shirt Clearance Sale Price: $4 per T-shirt post-event Historical Demand: On average, 550 T-shirts with a standard deviation of 185 Task: Given the above data, assist the owner of Threaded Expressions in determining the optimal number of T-shirts to produce to maximize their profits at the trade show. Please ensure to show all your calculations