Coleman Rich Control$$ Devices, Inc., produces$$ custom$-$built relay devices for auto makers. The most recent project undertaken by Rich requires $14$ different activities.$$ Rich's managers would like to determine the total project completion time$($in days$)$ and those activities that lie along the critical path. The appropriate data are shown in the following$$ table:

$$

Time$($days$)$

Immediate

Time$($days$)$

Immediate

Activity

a

m

b

$$Predecessor$($s$)$

Activity

a

m

b

$$Predecessor$($s$)$

A

H

$$E$,$ F

B

I

$$G$,$ H

C

A

J

I

D

A

K

I

E

$$B$,$ C

L

J

F

D

M

K

G

D

N

$$L$,$ M

Part $2$

$$a$)$ The expected completion time of the project$=$

$$

enter your response here days $($round your response to two decimal$$ places$).$