A company that produces hair dryers buys some of the components, but it makes the heating element, which it can produce at the rate of 810 per day. Hair dryers are assembled daily, 246 days a year, at a rate of 305 per day. Because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,100 units.

a. Approximately how many batches of heating elements are produced annually? ___

b. If production on a batch begins when there is not inventory of heating elements on hand, how much inventory will be on hand 2 days later? ___

c. What is the average inventory of elements, assuming each production cycle begins when there are non on hand? __