Question $2$: Consider four SKUs that are competing for space in a fast$-$pick area devoted to picking cartons from pallets:

a$)(8$ points$)$ Compute and rank the bids of the SKUs for space on the ground floor of a selective rack. Assume the stack height is $1$ pallet and the lane depth is $1.$ Assume that on average it requires $1$ minute per pick from the ground level, $2$ minutes from a higher level, and $3$ minutes per restock. There are $46$ pallet positions. Which SKUs and how many pallets do you recommend to be stored? What is the total time savings associated with your recommendation?

b$)(10$ points$)$ Compute and rank the bids of the SKUs for space in $2-$deep pallet flow rack and only $1$ stack height$1.$ Use the same average labor times. Assume there are $18$ pallet positions under this storage racking. Which SKUs and how many pallets do you recommend to be stored? What is the total time savings associated with your recommendation?

c$)(10$ points$)$ Compute and rank the bids of the SKUs for storage in a fast$-$pick area that is $2-$deep floor storage right at the shipping dock, with pallets stacked $2-$high. Use the same average labor times. Assume there are $10$ positions available. What is the total time savings associated with your recommendation?

d$)($Extra Credit: up to $6$ points$)$ Reconsider part $\backslash ($ A $\backslash )$ but assume that the overstocks are segregated by SKU into specific reserved regions of the warehouse, with the space within each region shared. How would your answer change if it takes $3$ minutes to restock a pallet of SKU A$,2\mathrm{.}1$ minutes for SKU B$,2\mathrm{.}25$ minutes for SKU C$,$ and $3\mathrm{.}5$ minutes for SKU D$?$