Please solve $6$problems using the table below

$1.$ Diagram the Activity $-$On $-$Node network

$2.$ Establish a linear model to determine the project duration based on the AOA network

$3.$Diagram the Activity$-$on $-$Arc

$4.$Establish a linear model to determine the project duration based on the AON network

$5.$Determine the optimal solution of the AON network linear model by determining the Earliest start time and Earlirst finish time of each activity, and determine the project duration and critical path.

$6.$ Considering the normal cost and time reduction cost for each activity given in the last table,determine a method to reduce the project time to $65$weeks at the lowest cost.

For question $1-5,$please use the first table

$.$ Please do not reject This problem is solved using a table $,$so there is enough information