For the problem given in Exercise 4.12, assuming that the variance of duration is 0 for all

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For the problem given in Exercise 4.12, assuming that the variance of duration is 0 for all the project phases, determine the time-cost trade-off curve by defining the strategies and calculating crashing cost for each strategy for \(T_{\max } \leq T \leq T_{\min }\).

Exercise 4.12

Answer the following questions using the tabulated project data.

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a. There is a penalty of $3,000/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 $3,000.

c. Find the probability that the total lateness penalty will be $3,000 or less.

d. Find the probability that the total lateness penalty will be greater than $3,000.

e. Find the probability that the total lateness penalty will be less than $9,000.

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