show work

(5 Points) Korner Hardware manager Emerson Jones is interested in determining how many nativity scenes to order for the 10 -day holiday season. Past experience indicates that demand for these nativity scenes averages 8 per day during this 10 -day period, with a standard deviation of 2 per day. Demand is approximately normal. Emerson purchases the nativity scenes for $15 per unit and sells them for $30 each during the season. After Christmas, they are marked down as sale items for $10 each. How many should Emerson order for the coming holiday season? Note: Demand per day has mean of 8 and standard deviation of 2 . This is equivalent to say, demand in this ten-day period is approximately normal with mean of 80 and standard deviation 210