A kanban system has a rate of delivery, which equals the rate ofarrival to the system, of 60 batches in a 10-hr day. Each batchcontains 8 parts, and the processing time of a batch is exactly 8minutes. The time between arrivals is known to have the exponentialdistribution. Compute the proportion of time the system is busy(?), the lead time, and the WIP (in terms of batches).