Problem $1(5$ points $-$ Show all your steps$)$: A Distribution Center $(DC)$ needs $to$ build a storage capable $of$ holding $345,600$

units $ofan$ item $at$ any time. $Itistobe$ used $to$ store $an$ item with dimensions $6^{\text{'}\text{'}}x{4}^{\text{'}\text{'}x}{3}^{\text{'}\text{'}}in$ containers measuring $3^{\text{'}}{3}^{\text{'}}{2}^{\text{'}}(height).$

Assume that $no$ space $is$ required between adjacent stacks $in$ the container.

$aA\frac{S}{R}$ system $is$ considered and $itis$ estimated that $54$ single commands per hour $is$ required, assuming single deep

storage, and the useful height $of$ the building $is60\text{'},$ determine the minimum storage space required?

Assumptions:

AnA$\frac{S}{R}S$ can process $32$ single commends per hour.

Each storage cell including the rack supports and clearances $is{4}^{\text{'}}(deep)x{4}^{\text{'}}(wide)3(high).$

$A\frac{S}{R}S$ aisles $is$ one foot wider that the width $of$ the container.

Hint $todoso,$ answer the following questions: