$3\mathrm{.}12$ A machine shop has $10$ machines in its automatic lathe section. Setup time on an automatic lathe is $5$ hr $.$ Batch size is $100$ for parts processed through the section. Cycle time per part is $9\mathrm{.}0$ min $.$ Under shop rules, an operator can be assigned to run one or two machines. Accordingly, there are five operators in the section for the $10$ lathes. In addition to the lathe operators, there are two setup workers who only perform machine setups. These setup workers are busy the full shift. The section runs one $8-$hr shift$/$day$,5$ days$/$wk$.$ Scrap losses are negligible and availability $=100\%.$ The production control manager claims that the capacity of the section should be $2,000$ parts$/$wk$.$ However, the actual output is only $1,600$ units$/$wk$.$ What is the problem? Recommend a solution.