The Tools Company uses a lathe to machine an aluminum block. Theoperation time is 5 minutes. On average, the lathe requiresmaintenance after 200 parts. The average maintenance time is about2 hours. (For the purpose of these calculations, maintenance is thesame as failure.

A.) What is the production rate of the machine in parts perminute? (Round to 3 decimal places)

B.) Continuing from Part 1, the next operation after turning(lathe operation), is a milling operation. The operation time atthe milling machine is 4 minutes. Its mean time to fail is 30 hoursand its mean time to repair is 5 hours. Any amount of parts can bestored in between the lathe and the mill. At what rate material onaverage will accumulate in the storage area in terms of parts perminute? (Round to 3 decimal places)

C).Continuing from Part 2. What is the production rate of thistwo-machine line in terms of parts per minute? (Round to 3 decimalplaces)

D.) Continuing from Part 3. Now a third and final operation isadded to the line. This is a manual polishing operation thatremoves the burrs generated from the machining processes. Theoperation time is 10 minutes, and the worker takes a break onaverage every 18 parts. The breaks typically last 15 minutes onaverage. What is the production rate of this line assuming thebuffers in between the machines are infinite in parts per minute(Round to 3 decimal places)?

E) What is the rate of material accumulation in the line inparts per minute? (Round to 3 decimal places)