Task $1$: Calculate the Cycle Time efficiency and WIP for the below helpdesk business process:

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$\backslash$begin$\{$tabular$\}\{|$r$|$l$|$l$|\}$

$\backslash$hline & Cycle time & Processing time $\backslash \backslash$

$\backslash$hline Check if ticket is of a known issue with stored solution & $2\mathrm{.}3$ hrs & $7$ min $\backslash \backslash$

$\backslash$hline Retrieve solution from DB & $2\mathrm{.}3$ hrs & $7$ min $\backslash \backslash$

$\backslash$hline Prepare message to user & $2\mathrm{.}3$ hrs & $36$ min $\backslash \backslash$

$\backslash$hline Research issue & $9$ hrs & $2$ hr $\backslash \backslash$

$\backslash$hline Prepare solution & $9$ hrs & $2$ hr $\backslash \backslash$

$\backslash$hline Ask user to test solution & $2$ day & $2$ hr $\backslash \backslash$

$\backslash$hline Document solution in DB & $2\mathrm{.}5$ hrs & $48$ min $\backslash \backslash$

$\backslash$hline Update ticket detail & $1\mathrm{.}5$ hrs & $48$ min $\backslash \backslash$

$\backslash$hline Check user test results & $2\mathrm{.}5$ hrs & $28$ min $\backslash \backslash$

$\backslash$hline Close ticket & $1$ hr & $4$ min $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$-$ Helpdesk tickets arrive with a rate of $7$ tickets per day.

$-\backslash (65\backslash \%\backslash )$ of all issues are known issues.

$-\backslash (82\backslash \%\backslash )$ of all solutions succeed.

$-$ Helpdesk employees work $10$ hours in a working day.