The stock turnover rate of an item is the number of times that the average inventory of the item needs to be replaced as a result of sales in a given time period. Suppose that a hardware store sells 84 shovels each year.

(a) Suppose that the hardware store maintains an average inventory of 3 shovels. What is the annual stock turnover rate for the shovels?

times/yr

(b) What would be the annual stock turnover rate if the store maintained an average inventory of 12 shovels? times/yr

(c) Write a formula expressing the annual stock turnover rate as a function of the average inventory of shovels. (Let T be the annual stock turnover rate and I the average inventory of shovels.) T =