A certain project is defined by the data given in the following table:

Activity Predecessor Duration

$($Weeks$)$ Workers

A $-610$

B $-38$

C A $96$

D B $54$

E B $410$

F D $28$

G E $812$

a$)$ Create a plan for this project in MSP following our usual conventions and use MSP$$s

Project Summary Task feature to compute the overall project duration. Inspect the resulting

project network and make sure there are no dangling ends. $[30]$ Assign the required workers

to each project activity, assuming that each activity starts as soon as possible. Save your

project plan under the file name $$HW$9$a$.[20]$

$(50$ points$)$

b$)$ For the project plan you generated in part $($a$),$ rearrange the timing of select individual

activities within MSP to reduce the overall fluctuation in resource demand. Assume that

the project duration cannot be extended and remember that the precedence relationships

must not be violated. Save your revised project plan under the file name $$HW$9$b$.$

$(25$ points$)$

c$)$ If there are only $20$ workers available for this project, rearrange the timing of select

individual activities within MSP to ensure that the project can be completed as quickly as

possible but without violating the resource limit$.$ In this case, the project duration may be

extended if necessary $($but again making sure to maintain all precedence relationships$).$

Save your revised project plan under the file name $$HW$9$c$.$

$(25$ points$)$