Deep lane storage with “smart” shuttle carts is to be used in refrigerated storage to store pallet loads of ice cream. The footprint dimension of a unit load of ice cream is 42  48. The clearance between the load and the upright rack member is 3; the upright rack member is 4 wide; a 10 flue space is provided at the end of the deep lane;

the storage aisle is 6 wide; there are five tiers of storage throughout the freezer; and there are 25 storage lanes, including ten 5-deep lanes, ten 10-deep lanes, and five 15-

deep lanes. Two products are to be stored in the freezer: Low Calorie Hot Fudge Sundae and Cardiac Arrest Banana Split.

a. Suppose 50 unit loads of Low Calorie Hot Fudge Sundae and 150 unit loads of Cardiac Arrest Banana Split are received. Which lane depth is the worst choice for storing each product in terms of minimizing the average square footage of floor space required? What are the resulting square footages? Assume unit loads are withdrawn uniformly.

b. Suppose double-deep storage rack is used for the products. 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 footages required if the rack contains five storage levels?

c. Suppose the unit loads can be allocated to any two of the three available row depths.
Specifically, suppose the products can be assigned entirely to 5-deep, 10-deep, or 15-deep storage lanes, or they 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 combined 200 unit loads?