You have decided to open your own geotechnical consulting firm. To secure financing from the bank, you must present a plan for when you expect some income from your firm. You sit down with your banker and develop this plan of activities that must be accomplished prior to starting your first job. Estimated duration and precedence relationships for these activities are shown in the table. i. Draw the PERT diagram and determine the expected duration and the critical path. (20 points) ii. Assume the time required to complete a path is normally distributed. Determine the probability of being able to start your first job within 180 days. (10 points) iii. To provide an allowance for unforeseen problems, you want to present your banker with a time before you start operations based upon a 95 percent confidence level. How many days from receipt of the loan will you tell the banker to expect you to start your first job? (5 points) You have decided to open your own geotechnical consulting firm. To secure financing from the bank, you must present a plan for when you expect some income from your firm. You sit down with your banker and develop this plan of activities that must be accomplished prior to starting your first job. Estimated duration and precedence relationships for these activities are shown in the table. i. Draw the PERT diagram and determine the expected duration and the critical path. (20 points) ii. Assume the time required to complete a path is normally distributed. Determine the probability of being able to start your first job within 180 days. (10 points) iii. To provide an allowance for unforeseen problems, you want to present your banker with a time before you start operations based upon a 95 percent confidence level. How many days from receipt of the loan will you tell the banker to expect you to start your first job? (5 points)