6. [25 points) The advanced tech company has a project to design an integrated information database for a major bank. Data for the project are given in table below. Indirect project costs amount to $300 per day. The company will incur a $150 per day penalty for each day the project lasts beyond day 14. Activity Immediate Predecessor(s) A B D E F G H AB B CD E E G Normal Time Crash Time (days) (days) 6 5 4. 2 3 2 2 1 6 4. 2 1 4 4 4 2 Normal Cost (S) 1,000 800 600 1,500 900 1,300 900 Crash Cost ($) 1,200 2,000 900 2,000 1,200 1,400 900 900 500 a. [2 points] Draw the network diagram b. [5 points) calculate the ES (earliest start), EF (earliest finish), LS (latest start), LF(latest finish) time for each activity and note them in the diagram above. Calculate slack for each activity and put them in the table below. Activity Slack Time A B C D E F G H c. [3 points] List all paths from the network diagram. What is the critical path? What is the project completion time? d. [3 point] What is the total cost for this project before crashing? e. [4 points] Calculate the maximum crash time and crash cost per day for each activity and list them below. Activity Maximum Crash Crash Cost/day Time (days) A B D E F G H f. [8 points] Perform the project cashing to find the minimum cost schedule. Show your step-by- step analysis and calculation below, e.g. what activity to crash first? Crash how may days? What is the new project cost after the crash? What is the next activity to crash? etc