Question $1$

A piece of equipment is available $24$ hours a day. On a typical day, the equipment produces $10$ units. Each unit takes about $60$ minutes on the machine, $40$ minutes of which is processing time, and $20$ minutes of setup time. About half of the units need to be reworked, in which case the setup time and the processing times need to be repeated. The remainder of the time, the equipment is idle.