$(25$ points$)$ Consider a collection of pallets of paint of various kinds. Each SKU will be floor$-$stacked $4$ pallets high. Which SKUs are best stored in the area of the warehouse with lane depth of $3$ pallet positions and an aisle $3-$pallets wide?

$(25$ points$)$ Consider two SKUs moving through a unit$-$load warehouse. Every Monday morning $100$ pallets of SKU A are shipped out and in the afternoon $100$ new pallets of SKU A arrive. Every other Monday, $10$ pallets of SKU B are shipped out and in the afternoon $10$ pallets arrive. On average there are $500$ pallets of SKU A on$-$hand and $20$ pallets of SKU B$.$

$(1)$ Which SKU has priority for storage in the most convenient storage locations under FIFO?

$(2)$ How would your answer change if the FIFO requirement were dropped?