Thirty $48\text{'}\text{'}\backslash$times $40\text{'}\text{'}$ unit loads of a particular product are to be stored in

storage racks. The warehouse manager cannot decide whether to store

the product in single$-$deep or double$-$deep storage racks. Seven tiers of

storage are used; the storage aisle is $8\text{'}$ wide. A clearance of $4\text{'}\text{'}$ is used

between a load and the $4\text{'}\text{'}$ upright truss, and a clearance of $4\text{'}\text{'}$ side to

side between loads. Two loads are stored side by side on a load beam.

The flue space has a width of $9\text{'}\text{'}.$ Withdrawals occur at a uniform rate

over the life cycle of the $30$ loads.

$7$

a$)$ Determine the expected amount of floor space required to store

the product using single$-$deep storage rack.

b$)$ Determine the expected amount of floor space required to store

the product using double$-$deep storage rack.