Embellish the model to make package loading time a function of how many packages are on a truck. Assume 8 seconds is the mean time to load the package in the center of the truck and each truck holds 200 packages. The mean loading time varies linearly from 12 seconds for a completely empty truck to 4 seconds for the last package on a truck. After the 200th package is loaded on a truck, the fully loaded truck swaps positions with an empty truck in 3 minutes. No package loading can occur during this time. Determine the number of workers needed under these conditions.