$1)$ Construct the CPM network described by the following set of activities, computer the length

of each patch in the network, and indicate the critical path.

Activity Time $($months$)$

$1!24$ Activity Preceed Act. Time

$1!37$ A $-10$

$2!48$ B A$8$

$2!53$ C A$5$

$3!59$ D B$6$

$4!55$ E D$8$

$4!62$ F C$7$

$5!66$ G E$,$F $4$

$3!65$ H F$2$

I F$3$

J H$,$I $3$

K J$,$G $2$