Problem 1: Computer Support Problem Your company has 200 personal computers. Each computer has a 5% probability, independent of all other computers, of encountering a hardware problem on any given day. Most hardware problems require 3/4 of an hour of attention from a computer support technician (CST). Each problem that occurs, however, has a 30% chance (independent of all other problems) of developing into a more serious problem requiring an extra 2 hours of attention from a CST. Each CST can spend up to 6 hours per day fixing problems, and costs the company $300 per day. Every CST hired must be paid their full salary each day, whether or not they have sufficient work to keep them busy. If the company does not have enough CST's to solve all the problems occurring on a given day, it hires an outside firm that charges $95 per hour. You are trying to decide whether to hire 1, 2, 3, or 4 CST's. 1. Which option gives the lowest average cost per day? 2. With this number, what is the average number of hours of support per day you must buy from the outside firm? 3. What other considerations should management be aware of based on the output of the simulation (help them interpret) a. Use a sample size of 1000