Hi please help me with my applied management science. Wherein you will show the step by step solution of the problem. The topic is Project Management: PERT/CPM. I will rate you helpful if you provide everything. BTW this is a 2 problem.

Problem 1

10.3-5. You are given the following information about a project consisting of six activities: Immediate Estimated Activity Predecessors Duration 5 months 1 month B 2 months A, C 4 months A 6 months D. E 3 months P (a) Construct the project network for this project. (b) Find the earliest times, latest times, and slack for each activ- ity. Which of the paths is a critical path? (c) If all other activities take the estimated amount of time, what is the maximum duration of activity D without delaying the completion of the project?10.3-1. You and several friends are about to prepare a lasagna din- ner. The tasks to be performed, their immediate predecessors, and their estimated durations are as follows: Tasks that Task Task Description Must Precede Time A Buy the mozzarella cheese* 30 minutes B Slice the mozzarella A 5 minutes C Beat 2 eggs 2 minutes D Mix eggs and ricotta cheese C 3 minutes E Cut up onions and mushrooms 7 minutes F Cook the tomato sauce E 25 minutes Boil large quantity of water 15 minutes H Boil the lasagna noodles G 10 minutes Drain the lasagna noodles H 2 minutes Assemble all the ingredients I, F, D, B 10 minutes K Preheat the oven 15 minutes L Bake the lasagna L, K 30 minutes *There is none in the refrigerator. p (a) Construct the project network for preparing this dinner. (b) Find all the paths and path lengths through this project net- work. Which of these paths is a critical path? (c) Find the earliest start time and earliest finish time for each activity. (d) Find the latest start time and latest finish time for each activity. (e) Find the slack for each activity. Which of the paths is a criti- cal path? (f) Because of a phone call, you were interrupted for 6 minutes when you should have been cutting the onions and mushrooms. By how much will the dinner be delayed? If you use your food processor, which reduces the cutting time from 7 to 2 minutes, will the dinner still be delayed