Q$3(8$ marks$)$: The durations and direct costs for each activity in the network of a small construction contract under both normal and crash conditions are given in the following table. Establish the least cost for expediting the contract. Determine the optimum duration of the contract assuming the indirect cost is $\frac{M}{?}$ day.

Where $M$ is your last three numbers of you UOB ID number for example if your ID $20110568$ then the indirect cost will be $568$

Note: you cannot crash $2$ days in one time for any activity.

$\backslash$table$[[$Activity$,$Precedence,$\backslash$table$[[$Normal Time$],[($Days$)]],\backslash$table$[[$Crash Time$],[($Days$)]],\backslash$table$[[$Normal Cost$],[($$$)$