Problem. The following table gives the data on a project.

$\backslash$table$[[$ACTIVITY$,$DESCRIPTION,$\backslash$table$[[$IMMEDIATE$],[$PREDECESSORS$]],\backslash$table$[[$DURATION$],[($WEEKS$)]],\backslash$table$[[$TOTAL COST$],[$RS$.000]]],[H,$Basic design,$H,10,100],[$I$,$Hardware design for $A,H,8,64],[J,$Hardware design for B$,H,6,96],[$K$,$Drawings for $B,J,4,16],[L,$Software specifications,$J,2,36],[$M$,$Parts purchase for B$,J,4,84],[N,$Parts purchase for $A,$I,$4,80],[O,$Drawings for $A,$I,$5,50],[P,$Installation drawings,I,$J,5,60],[$Q$,$Software purchases,$L,5,80],[R,$Delivery of parts for B$,M,5,0],[S,$Delivery of parts for A$,N,3,0],[T,$Software delivery,Q$,3,0],[U,$Assembly of A$,0,5,1,14],[V,$Assembly of B$,K,R,5,80],[$W$,$Test $A,U,2,24],[x,$Test B$,$V$,3,36],[Y,$Final Installation,$P,W,x,8,104],[Z,$Final system test,$Y,T,6,66]]$

a$)$ Draw the network for this project

b$)$ Draw the cost baseline

c$)$ The status of the project at the end of the ${20}^{th}$ week is as follows:

$AC=530,000$;$EV=429,000$

Calculate the SV and CV of the project

d$)$ What is the expected cost of completion and duration of the project based on current performance

e$)$ What is the expected cost of the project and duration if the efficiency becomes $100\%$ for the remaining period of the project