Find an ordering of the tasks of a software project if the...

Find an ordering of the tasks of a software project if the Hasse diagram for the tasks of the project is as shown. Completion test test Develop module A Integrate modules Write documentation Develop module B Develop module C Develop system requirements Set up test sites Write functional requirements Determine user needs

Transcript

00:01 In this question we have been given set a we consist of the first 12 natural numbers from 1 to 12 okay and this is the divisibility relation on a correct so this represent the divisibility relation on this given set a okay we need to find an ordering of the task of a software project if we have been already given in the question the h diagram we just need to find out the ordering of the task of this software project so let us see how can we do this so first of all we have this as a now let's find out the different relations between the elements okay so first of all what i'm having is two divides four then we know two divide six eight then we have 10 then 12 correct then if we talk about so this will implies that two is less than equals to 4 that means two is basically this is not a less than sign this is related to okay so two related to 4 6 8 10 and 12 so this implies one is related to k for every case in a since one divides k for every k in a now we're talking about this is for one this is for two now we know three divide six then it will divide nine it divides twelve so this implies that three is related to six nine and twelve now we're talking about four which divides eight and twelve so four divide 8 and 4 divides 12 for 5 we draw okay so 5 is related to 10 and for 6 if we see so it implies that 6 is related to 12 okay so for this posit a if i draw now the hase diagram okay so we are drawing the hase diagram let's see what we are going to get correct so this is one.

02:41 Then i'm having five, two, three, seven.

02:48 Then i'm having here 11.

02:52 Then 10, 4, 6, 9, 8, 12.

02:58 Okay, so this is what i'm having.

03:01 So we know that one divides all one divides, two, three, seven...

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