answer all questions with explanation

12. For a warehouse with rectangular footprint, East {West length 100m, North /South length 60111, and aisles that run North] South, suppose the loading dock is in the oenter of the southern east/west wall. As usual, approximate the uniform discrete distribution of aisle locations with a continuous uniform distribution. (3) Find the expected distance traveled to retrieve one randomly.r located item and return to the loading dock. (b) Find the expected distance traveled to retrieve two randomly located items and return to the loading dock. Simplify your model by assum- ing that the two items are not in the same aisle. (c) Suppose 20% of the item types account for 90% of the items retrieved. 'I'heee fast-moving items are stored in the aisles between 40m and 60m from the west well (the centermoat aisles). Find the expected distance traveled to retrieve two items and return to the loading dock. Assume the two items are in different aisles