In a finance firm, there are 7 back-end financial analysts serving requests of traders to perform detailed financial analysis. On average, the traders send a request to the analysts in every 5 minutes. It takes one analyst half an hour to finish the analysis for a request. Every minute the trader waits for the analysis results costs the company $10,000 because of delay in trading.
a. On average, how many requests are there waiting to be served by the analysts?
b. How long does it take, on average, for a trader to receive detailed analysis for his/her request?
c. On average, what is the hourly cost to the company because of traders awaiting analysis results?
[Each question worth 5 points]