A machine tool produces 20 components for an assembled product. These are the only partsproduced by the machine. To keep in-process inventories low, a batch size of 50 units is produced for each component. Demand for the product is 1000 units/yr. Production downtime costs $100/hr. Changeover time between batches is 1.0 hr, and average cycle time per part 4.0 min. The annual holding cost for each of the 26 parts is $1.60/pc. (a) Determine total annual inventory cost for the 26 parts. (b) Is the given production schedule feasible for a one shift operation? That is, can 900 units of each of the 26 components be completed in 2000hours? If so, how many idle hours of machine time occur in the 2000 hours? If not, how many overtime hours must be authorized during the year?