Deep lane storage is used to store 36  48 unit loads of Captain Crunchy Goober Butter. The clearance between the load and the upright rack member is 4; the upright rack member is 4 wide; a 12 flue space is provided at the end of the deep lane; the storage aisle is 5 wide; there are 15 storage levels in the deep lane system. The system consists of five-deep lanes, 10-deep lanes, and 15-deep lanes.

a. Suppose 250 unit loads are received. Which lane depth is the worst choice for storing the Captain Crunchy Goober Butter in terms of minimizing the average square footage of floor space required? What is the resulting square footage? Assume the 250 units loads are withdrawn uniformly.

b. In part (a), suppose a safety stock of 50 units exists. Which of the three lane depths is the best in terms of minimizing the average square footage of storage space? What will be the resulting square footage?

c. In part (b), suppose double-deep storage rack is used for the product. With two loads stored side by side on a load beam, 4 clearances between the loads and the 4 upright trusses and between loads side by side, a 12 flue space, and an 8 aisle, what would be the average square footage required if the rack contained six storage levels?

d. In part (a), suppose the 250 unit loads can be allocated to any two of the three available row depths. Specifically, suppose the product can be assigned entirely to 5-deep, 10-deep, or 15-deep storage lanes, or it can be distributed among 5-deep and 10-deep lanes, 5-deep and 15-deep lanes, or 10-deep and 15-deep lanes. What is the optimum solution for the 250 unit loads?