Problem 2: Warehouse Sizing (10 points) A private warehouse has an annual throughput of 20,000 items and an average material handling cost per item of $1.25/ft. The warehouse size is to be 400,000 sq. ft. Annual construction and maintenance costs are $20/ft. of perimeter. L WW20 X Y f) If the loading and unloading dock is to be located at location X, a warehouse corner as shown in the figure, what are the best width and length of the warehouse? (4 points) g) If the loading and unloading dock is to be located at location X, a warehouse corner as shown in the figure, what is the total cost for the optimal sized facility? (3 points) h) If the loading and unloading dock is to be located at location Y, a warehouse side as shown in the figure, what is the total cost for the optimal sized facility? (3 points)