The wholesale cost is $$20/$unit$.$ For every unit sold, there is a profit of $$10$ per unit $($Revenue $=$ cost $+$ profit $=20+10=$ $$30).$ Unsold units are disposed. For every leftover unit, there is a loss of $$5/$unit$.($Loss $=$ cost $$ salvage value$)$

a$.)$ What is the mean demand?

$50$

b$.)$ What is the newsvendor critical ratio?

$228\mathrm{.}2$

c$.)$ What is the optimal order quantity Q$*?($Round up to the nearest integer if you get a non$-$integer.$)$

d$.)$ If we order Q$*$ as obtained in $($c$),$ what is the expected lost sales?

e$.)$ If we order Q$*$ as obtained in $($c$),$ what is the expected profit?