4-3 The IT unit of a company has been asked to prepare a budget for a special software package project. The group has considerable experience with similar tasks and submits the costs in the following table. The group also thinks that the distribution of the hours worked for each phase is normal. The wage rate for the software engineers employed on each phase is $60 per hour. Using simulation, find the distribution of total engineering costs for all the phases. What is the average engineering cost? Also, find the probability that the total engineering cost will be less than $85,000. Phase Average Time (hrs) Standard Deviation Requirements planning 80 15 Design 160 25 Prototype development 320 70 Final development 640 100 Test 120 20