After graduation, you and several of your friends decide to start a new software company. As the vice president of operations. you are in charge of several production steps. including the process that records software onto a CD. You have identied several activities that must take place before this "burn-in" process is ready to use: Activityr Duration (Weeks) Predecessors A. Consult with engineering . None B. Determine equipment layout None C. Install equipment . A,B D. Order materials E. Test equipment F. Train employees G. Perform pilot runs H. Get OSHA approval 4.. (:1 a. (5 points) Draw the project network and calculate all ES, EF, LS, and LF times. b. (7.5 points) Every week of delay in the project costs your company $3,000. Suppose you know the following: (1] Activity (3 can be crashed by 1 week at a cost of $1,500, (2] Activity F can be crashed by 1 week at a cost of only $50, and (3) Activity H can be crashed by 1 week at a cost of $2,000. Should you try to crash the project? If not, why not? If so, how much money will the company save? c. (7.5 points) Consider the project before crashing. Suppose that activities C and F may subject to random disruptions. For C, the best, most likely and worst estimates are 3, 4.5 and 6 weeks respectively; for F, the best, most likely and worst estimates are 2, 3 and 5 weeks respectively. What is the chance that the project can be completed in 14 weeks? If you want to promise a scheduled completion time with 95% condence, how many weeks do you want to promise