Question $1$: Airplane Booking Problem $($see Newsvendor Model Lecture$)$

Please do the Airplane Booking Problem with a high fare of $$707$ and low fare of $$167.$ The business traveler demand is given by N$($mu $=56,$ sigma $=5).$What is the under$-$stocking cost Cu$?$What is the over$-$stocking cost Co$?$What is the service level or critical fractile? $($Please state a probability with $4$ decimal places $($and not a percentage$).$What is the corresponding z$-$score?How many seats should we protect for full fare customers? Please round to a whole number?