Demand for whole turkey at County Market store during the Thanksgiving break can

Demand for whole turkey at County Market store during the Thanksgiving break can beapproximated by a normal distribution with an average of 55 pounds and a standard deviation of10 pounds. The turkey sells for $5 per pound and the unit cost to the store is $1.8 per pound. For any leftover turkey after thanksgiving the store will donate to local community center which results in a small tax deduction that is worth $0.20 per pound.Find the optimal stocking level for the turkey for the Thanksgiving week and the expected profit based on the optimal stocking level.