The UCI bookstore sells a number of items, including a branded holiday coffee mug. The mug costs $4.50 to make and sells for $12. At the end of the season, unsold mugs are sold off to other retailers at $1.25 each. Since this is a highly seasonal item, only one order will be placed. Assuming the demand for the mug is normally distributed with a mean of 350 units and a standard deviation of 105 units, answer the following questions.

• How much inventory would the bookstore expect to be left over with the optimal order quantity? provide calculation
• How many sales can the bookstore expect to lose with the optimal order quantity? provide calculation
• What is theservice levelcorresponding to the optimal order quantity? Group of answer choices - provide calculation
  • Exactly 69.7%
  • Slightly below 69.7%
  • Slightly above 69.7%
  • Exactly 30.3%
  • Slightly below 30.3%
  • Slightly above 30.3%