ALei Industries has credit sales of $ $158$ million a year. $$ ALei's management reviewed its credit policy and decided that it wants to maintain an average collection period of $45$ days.

a$.$What is the maximum level of accounts receivable that ALei can carry and have a $45-$day average collection$$ period?

b$.$If$$ ALei's current accounts receivable collection period is $55$days$,$ how much would it have to reduce its level of accounts receivable in order to achieve its goal of $45$days$?$