An international computer equipment and software manufacturer plans to introduce several new

products in the coming year and wants to develop marketing programs to accompany the product

introduction. The marketing program includes preparing printed materials distributed directly by the

company and used by the company$$s marketing personnel, vendors, and representatives; print advertising

in regular magazines, trade journals, and newspapers; and television commercials. The program also

includes extensive training programs for marketing personnel, vendors, and representatives about the

new products. A project management team with members from the marketing department and

operations has developed the following list of activities to develop the marketing program.Case $2$: International Computer

An international computer equipment and software manufacturer plans to introduce several new products in the coming year and wants to develop marketing programs to accompany the product introduction. The marketing program includes preparing printed materials distributed directly by the company and used by the company's marketing personnel, vendors, and representatives; print advertising in regular magazines, trade journals, and newspapers; and television commercials. The program also includes extensive training programs for marketing personnel, vendors, and representatives about the new products. A project management team with members from the marketing department and operations has developed the following list of activities to develop the marketing program.

$\backslash$table$[[$Activity Description,$\backslash$table$[[$Activity$],[$Predecessor$]],\frac{a}{10},m,\frac{b}{20},\backslash$table$[[$Normal$],[$Time$],[15]],\backslash$table$[[$Crasl$],[$Time$],[14]],\backslash$table$[[$Norm$],[$Cost$]],\backslash$table$[[$al Crash$],[$Cost$],[250]]],[],[$A$,$Preliminary budget & plan approval,cdots,$15,200],[B,$Select marketing personnel for training,cdots,$5,9,12,9,-,-,-],[$C$,$Develop overall media plan,A$,15,25,30,25,24,360,400],[D,$Prepare separate media plans,$c,12,20,25,20,19,250,280],[E,$Develop training plan,$C,5,8,12,8,7,220,230],[F,$Design training courses,$E,6,14,20,14,13,300,400],[$G$,$Train marketing personnel,$B,F,16,20,25,20,18,290,300],[H,$Plan TV commercial with agency,D$,15,25,35,25,24,\backslash$table$[[175]],190],[1,$Draft in$-$house print materials,D$,8,15,20,15,12,160,165],[$j$,$Develop print advertising layouts w$/$agency$,D,16,23,30,23,22,245,270],[$K$,$Review print advertising layouts,j$,4,9,12,9,--,--,--],[L,$Review TV commercial,$H,3,7,12,7,6,310,335],[$M$,$Review and print in$-$house materials,$1,3,5,7,5,3,245,270],[N,$Release advertising to print media,$G,$I,$K,2,4,8,4,1,100,200],[0,$Release TV commercial to network,L$,4,7,10,7,6,330,350],[P,$Final marketing personnel review,$G,K,$I,$4,5,9,5,-,-,--],[Q,$Run media advertising mailings,$\backslash$table$[[M,N,],[0]],15,20,30,20,18,10,20]]$

Question $1.$

Construct the network for this project and determine the probability the project can be completed in $120$ days or less. Show the details of how you arrived at the $Z$ value and the probability of completion. Do not round the answers$--$ keep two decimal points in all calculations.

Question $2.$

Use the data in the table above to determine the sequence of crash activities to reduce the project duration by $6$ days. Calculate the total added cost.