There are ten machines in the automatic lathe section of a certain machine shop. The setup time on an automatic lathe averages $5$ hours. Average batch size for parts processed through the section is $100.$ Average operation time $=9\mathrm{.}0$ minutes. Under shop rules, an operator can be assigned to run one or two machines. Accordingly, there are five operators in the section for the ten lathes. In addition to the lathe operators, there are two setup workers who perform only machine setups. These setup workers are busy the full shift. The section runs one $8-$hour shift per day, $5$ days per week. Scrap losses are negligible and availability $=100\%.$ The production control manager claims that the capacity of the section should be $2000$ parts per

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