The purpose of this exercise is to discuss the situation facing a manager and her determine how many servers to use and what the characteristics of the system will be. endeavor communications, a long distance provider, is reevaluating its account management department for handling customer service questions and requests. during the 6: 00 pm to 10: 00pm time period, past data show that calls to the account management department occur at an average rate of one call every 6.5 minutes. a study of past service times indicate that the average time to process a caller's question/request is 4.3 minutes. like other phone systems, when a call comes in and all the servers are busy, the caller hears a message telling them to hold until the next server is available. top management at endeavor communications understands that the staffing decision involves the analysis of trade-offs. increasing the number of servers will reduce the waiting times and increase the probability of immediate service at a higher cost with more idle time for the servers. management has decided that the goal of the account management department is to immediately answer and service at least 90% of the incoming calls during the busiest time period of 6: 00 to 10: 00pm. they have asked you to determine the staffing level that will them meet this goal. also, they'd like you to provide your own recommendations. omit (calls per minui 2. since you are not required to perform the calculations in the case of multiple servers, you are provided with these results in the table that follows. a (calls per minute) you need to determine the information for the case of one server and rho for the cases of 2 and 3 servers. fill in the chart below based on the numbers you calculate using your excel file. use three decimal places in all probabilities servers % time server busy (rho) probability of (in the system) 0.515 0.503 0.341 0.333 1 0.113 0.110 0.025 0.036 3 0.005 4 0.012 0.0003 5 0.001 6 0.3 0.0003 customers customers customers number in system n(s) 0.74 0.67 number in line n(i) 0.08 0.01 time time time (minutes) (minutes) (minutes) time in system t(s) 4.83 4.36 time in line t(i) 0.53 0.06 time (seconds) time (seconds) time (seconds) time in system t(s) 289.7 261.5 time in line t(l) 31.7 3.5