An appliance manufacturer stores its finished goods using block stacking and clamp attachments on counterbalanced lift trucks. Leased warehouse space is currently being used to store freezers. The outside dimensions of the freezers are 36  60  48, with the last dimension being the height of the freezer. The unit can be stored in either the 36  60 configuration or the 60  36 configuration. Units can be stacked three high in storage. If the 36  60 configuration is used, then a clearance of 12 between storage lanes is required; if the 60  36 configuration is used, then a clearance of 24 is required. A 13 storage aisle is used.

a. If the 36  60 storage configuration is used, what row depth will minimize the average amount of floor space required over the life of a storage lot of size 30, assuming uniform withdrawals from storage? (Use enumeration to obtain your answer.)

b. Given the conditions of part (a), what row depth is indicated when using continuous approximation with a lot of size of 300?

c. Given the conditions of part (a), what row depth is indicated when using continuous approximation with a lot of size of 300 and a safety stock of 30?

d. For a lot of size of 30 and uniform withdrawal, what is the resulting minimum square footage for the best configuration, that is, the minimum value of S for either 36  60  48 or 60  36  48?