A publisher is printing calendars for the upcoming year. The publisher estimates that demand for the calendars has a mean of 70,000 and a standard deviation of 25,000. The cost per calendar is $3, and the calendars are sold for $10 each. All unsold calendars are recycled at the end of January. a. How many calendars should the publisher have printed? What is the expected profit with the order quantity that you have chosen? What is the product fill rate (i. e., #calendars sold/#calendars demanded by customers) with this quantity? b. The printer has offered to discount the printing cost to $2.75 per calendar if the publisher orders at least 100,000. How many calendars should the publisher have printed?