Problem 1: Given the information provided below (predecessors, normal time, normal cost, crash time (the minimum duration) and crash cost (the cost if crashed to the minimum duration) for an nine-activity (a to i) project) answer the questions (a) through (e) using this template. You need to provide enough explanations to show evidence that you have understood this topic. Activity Predecessor Normal Normal Crash Crash Cost Time Cost Time a 4 50 2 150 b a 4 40 2 200 C b 7 S 70 4 S 160 c. f 2 S 20 50 C 3 S 30 100 IN b 8 S 80 5 290 d. e 5 S 50 100 f 6 S 60 180 g, h 3 S 50 3 50 (a). Create the network diagram in the application of your choice and then insert a screen shot of the diagram here. The diagram can be created easily in MS Word using the Insert Shapes function.Activity Predecessor Normal Time Normal Cost Crash Time Crash Cost Crash Cost/Day Project Cost A 4 $50.00 $150.00 $50.00 $450.00 A $40.00 2 $200.00 $80.00 B $70.00 4 $160.00 $30.00 C,F $20.00 $50.00 $30.00 C $30.00 $100.00 $70.00 B $80.00 $290.00 $70.00 - NWUNG D,E $50.00 $100.00 $25.00 F $60.00 $180.00 $30.00 I G,H $50.00 $50.00 $0.00 Project Cost = $450.00(e). Calculate the shortest completion time for the project. What is the projected project cost? What is the projected project duration? What is the critical path (or paths)? What task or tasks were crashed? Explain the results of your calculations