Consider a unit$-$load warehouse employing floor storage block stacking. Suppose aisles are $10$ feet wide, pallets are $36$ inches deep by $24$ inches wide, and there is a $2$ ft gap between lanes. Three SKUs are stored in the warehouse and their order quantities $($qi$)$ and stack heights $($zi$)$ are given below. What is the total space consumed over all SKUs when lane depth is $3?$ Provide your answer to the nearest integer.

SKU

qi

zi

A

$20$

$4$

B

$15$

$5$

C

$25$

$6$