Provide all formulas thank you. A Las Vegas supermarket bakery must decide how many wedding cakes to prepare for the upcoming weekend.

Please need help show clear work please thank you.... Provide all formulas thank you....

A Las Vegas supermarket bakery must decide how many wedding cakes to prepare for the upcoming weekend. Cakes cost $55 each to make and they sell for $66 each. The price of leftover wedding cakes is reduced by 50% on Mondays to clear out inventory. Demand for the weekend is normally distributed with a mean of 107 and a standard deviation of 11. What is the optimal number of wedding cakes to stock on the weekend? Answer 4 decimal places.