QUESTION $2$

$2\mathrm{.}1$ The robotic plays a very important part in our daily production rate. An articulated robot loads and unloads parts in a CNC programming machine cell in a high production run. The machine tool operates on semiautomatic cycle which is coordinated with the robot using interlocks. The programmed machining cycle takes almost $2\mathrm{.}82$ min. Cutting tools wear out and must be periodically changed and this take almost $3\mathrm{.}45$ min every $30$ cycles and is performed by a human worker. At the end of each machining cycle, the robot reaches into the machine and removes the just$-$completed part, places it in a tote pan, then reaches for a starting work part from another tote pan and places it in the machine tool chuck. This sequence of handling activities takes $0\mathrm{.}5$ minutes. Tote pans are exchanged every $20$ work cycles by the same worker who changes tools, but there is no lost production time.

Hint: assume the setup is neglected.

Determine the production rate?