$1.$ Jobs along with their normal time, crash time and cost are mentioned below in table

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Job & Normal time$($days$)$ & Cost $($Rs$.)$ & Crash time$($days$)$ & Cost $($Rs$.)\backslash \backslash$

$\backslash$hline $\backslash (1-2\backslash )$ & $6$ & $1300$ & $4$ & $1800\backslash \backslash$

$\backslash$hline $\backslash (1-3\backslash )$ & $8$ & $1900$ & $5$ & $2700\backslash \backslash$

$\backslash$hline $\backslash (2-3\backslash )$ & $4$ & $1000$ & $2$ & $1400\backslash \backslash$

$\backslash$hline $\backslash (2-4\backslash )$ & $3$ & $700$ & $2$ & $1300\backslash \backslash$

$\backslash$hline $\backslash (3-4\backslash )$ & $6$ & $800$ & $3$ & $1500\backslash \backslash$

$\backslash$hline $\backslash (3-5\backslash )$ & $6$ & $2400$ & $6$ & $2400\backslash \backslash$

$\backslash$hline $\backslash (4-6\backslash )$ & $10$ & $500$ & $2$ & $700\backslash \backslash$

$\backslash$hline $\backslash (5-6\backslash )$ & $3$ & $\backslash$multicolumn$\{5\}\{|$c$|\}\{$ Dummy activity $\}\backslash \backslash$

$\backslash$hline

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

Indirect cost of the project is Rs: $200$ per day

i$).$ Draw network of the project

ii$).$ What is normal duration of the project

iii$).$ Find the optimum duration and minimum project cost.