A shop floor performs $3$ different operations on a part.

Operation $1,2$ and $3$ takes $4,7$ and $5$ minutes respectively to

complete. The raw material is arriving with exponential

distribution of $(0,5,0)$ minutes. There is manual handling

$($operator travel speed $5\frac{m}{m}in)$ of parts up to dompletion of all

the operations. After which, a forklift $($speed $20\frac{m}{m}in)$

carries bunch of $5$ parts to the shipping point. Find,

Throughput of shop floor. $($Run time: Reffer MM$\_$Run

Time sheet$).$

Find Utilization of resources.

Suggestions for optimizing the shop floor

Material flow diagram: