A storage system is to be designed for storing 60  38 pallet loads of a wide variety of products. The storage alternatives to be considered are block stacking, deep lane storage, single-deep pallet rack, double-deep pallet rack, and triple-deep pallet racking.

In the case of block stacking, a counterbalanced lift truck will be used. The resulting design parameters are 13 storage aisles, 10 clearance between storage rows, and four-high storage of products.

With deep lane storage, an S/R machine will be used. Also, the following design parameters are to be used: 6 aisle, 12 flue space, 3 clearance between the load and the rack, 4 rack member, and eight-high storage.
With single-deep, double-deep, and triple-deep pallet rack, a narrow-aisle lift truck will be used. Two loads are stored side by side on a common load beam. The following design parameters are to be used: 8 aisle, 12 flue space, 5 clearance between loads side by side on the load beam, 5 clearance between the load and the rack, 5 rack member, and six-high storage.

a. Based on a lot size of 30, determine the average amount of floor space required for block stacking with the row depth that minimizes the average amount of floor space, measured in square feet. Solve for the row depth using enumeration.

b. Solve part

(a) for the case of deep lane storage, but determine the lane depth using a continuous approximation; round-off the lane depth to the nearest integer value.

c. Based on a lot size of 30, determine the average amount of floor space required to store the product using single-deep pallet rack. Express your answer in square feet.

d. Solve part

(c) using double-deep pallet rack.

e. Solve part

(c) using triple-deep pallet rack.