Answer the following questions using the tabulated project data.

(a) There is a penalty of $3000/day beyond the normal PERT duration. Perform a crashing analysis to compare total normal cost to total crash cost. First crash only the critical activities; then crash all activities.

(b) Find the probability that the total lateness penalty will be less than $3000.

(c) Find the probability that the total lateness penalty will be $3000 or less.

(d) Find the probability that the total lateness penalty will be greater than $3000.

(e) Find the probability that the total lateness penalty will be less than $9000.

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Project Preceding Normal Normal Crash Crash Variance of Phase Phase Time Cost Time Cost Duration A - 40 $9,000 30 $12,000 10 B A 53 15,000 50 15,300 9 C A 60 7,500 30 6,000 600 D A 35 20,000 30 22,000 25 E C, D 28 12,000 20 15,000 40 F B, E 30 6,000 27 7,000 30