Consider warehouse operation. Materials are stored on $42$ x $48$ pallets in selective pallet racks with one deep.

The height of the pallet is $6.$ The load stored on the pallet is $4$ feet high.

Three pallets are stored side by side in each rack opening.

A $5$ clearance is used $($side to side$)$ between loads in an opening and between a load and a vertical rack member $($upright truss$).$

Each vertical rack member is $4$ wide.

Pallets are placed on a $4$ load beams except the bottom load, which is stored on the floor.

There is a clearance of $4$ between the top of each load and the load beam above it$.$

A $9-$feet aisle $($load to load$)$ and a flue space of $14$ between loads are used.

The rack has three tiers of storage. Loads do not overhang the pallet.

a$)$ Draw at least two views of the rack design to scale showing the dimensions, aisle space, and flue space clearly on the views.

b$)$ Calculate load height, width, depth, and volume.

c$)$ Calculate storage rack height, width, depth, and volume.

d$)$ Calculate the storage space utilization.