Suppose the storage area for a warehouse is shown below. Two input docks $($activity $40\%$ from D$1$ and $60\%$ from D$2$ respectively$)$ and one output dock serve the storage area. All movements is in fill$-$pallet quantities. The storage area is divided in $10\backslash$times $10$ ft storage bays. Five classes of products are to be stored. Class A needs moves at a rate of $100$ Pallets$/$week and requires $5$ storage bays. Class B needs moves at a rate of $60$ Pallets$/$week and requires $4$ storage bays. Class C needs moves at a rate of $50$ Pallets$/$week and requires $5$ storage bays. Class D needs moves at a rate of $30$ Pallets$/$week and requires $2$ storage bays. Class E needs moves at a rate of $20$ Pallets$/$week and requires $2$ storage bays. Indicate the optimal warehouse layout, show all supporting calculations.