$(10$ points$)$ A new order, which requires the production of $100$ identical units, has just arrived at a manufacturing company. Starting from Operation $1$ and finishing Operation $5,$ the following manufacturing operations should be done sequentially, except that Operations $3$ and $4$ can be done concurrently.

$\backslash$table$[[$Operation$,1,2,3,4,5],[$Setup Time $($minute per run$),110,20,120,120,155],[$Run Time $($minute per unit$),2\mathrm{.}5,2\mathrm{.}5,1\mathrm{.}2,3\mathrm{.}6,2\mathrm{.}9]]$

Assume that job preemption, job splitting and operations overlapping are not allowed. However, to finish Operation $2$ as quickly as possible, the lot of $100$ units is split into two sublots for Operation $2$ only. Each of the sublots is to be processed on one of two identical machines used for Operation $2.$ Both machines require $20$ minutes of setup, and the second machine cannot be set up until the setup on the first machine is completed.

What is the minimum number of days to complete all manufacturing operations of the order if the company works $8$ hours per day? ATTENTION: second machine can not setup until the setup on the first machine!