#1 Monohan Machinery specializes in developing weed-harvesting equipment that is used to clear small lakes of weeds. George Monohan, president of Monohan Machinery, is convinced that harvesting weeds is far better than using chemicals to kill weeds. Chemicals cause pollution, and the weeds seem to grow faster after chemicals have been used. George is contemplating the construction of a machine that would harvest weeds on narrow rivers and waterways. The activities that are necessary to build one of these experimental weed-harvesting machines are listed in the following table. Construct a network for these activities. ACTIVITIES IMMEDIATE PREDECESSORS A - B c A D E F A G C, E D, F B B H #2 After consulting with Butch Radner, George Monohan was able to determine the activity times for constructing the weed-harvesting machine to be used on narrow rivers. George would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. (See problem #1 for details) The activity times are shown in the following table: ACTIVITIES A B c TIME (WEEKS) 9 5 G 3 10 12 9 8 H 11 D E F #3 A Project was planned using PERT with three time estimates. Time expected completion time of the project was determined to be 36 weeks. The variance of the critical path is 25. (a) What is the probability that the project will be finished in 32 weeks or less? (b) What is the probability that the project takes longer than 36 weeks? (c) What is the probability that the project will be finished in 42 weeks? (d) What is the probability that the project will take longer than 45 weeks? (e) The project manager wishes to set the due date for the completion of the project so that there is a 90% chance of finishing on schedule. Thus, there would only be a 10% chance the project would take longer than this due date what should this due date be? #4 The air pollution project discussed in the chapter has progressed over the past several weeks, and it is now the end of week 8. Lester Harky would like to know the value of the work completed, the amount of any cost overruns or underrun s for the project, and the extent to which the project is ahead of or behind schedule by developing a table like Table 8. The revised cost figures are shown in the following table. TOTAL BUDGETED ACTNITY A B c D E F G H COST ($) PERCENT OF COMPLETION ACTUAL COST ($) 41900 34900 50060 100 100 80 64000 40 31080 75010 42850 30 20 5 41475 35000 41100 25000 9800 14000 2500 28460 100 28050 #5 The following costs have been estimated for the activities in a project: ACTIVIT A IMMEDIATE - c A B D E F G - TIME 9 2 5 B 3 C, D C, D F 10 4 5 TOTAL 13590 2400 5200 10560 23000 7600 3600 (a) Develop a cost budgeted schedule based on the earliest start time like Table 6. Please keep one decimal place. (b) Develop a cost budgeted schedule based on the latest start time like Table 7. Please keep one decimal place