Each aisle of a six-aisle automated storage/retrieval system is to contain 50 storage compartments in the length direction and 8 compartments in the vertical direction. all storage compartments will be the same size to accommodate standard size pallets of dimensions: x = 36 in and y = 48 in. the height of a unit load z = 30 in.

using the allowances a = 6 in, b = 8 in, and c = 10 in, determine

(a) how many unit loads can be stored in the as/rs, and

(b) the width, length, and height of the as/rs. the rack structure will be built 18 inches above floor level