The California border inspection station discussed in the prior question, is considering the addition of a second inspector. The vehicles would wait in one lane and then be directed to the first available inspector. Arrival rates would remain the same (12 per minute) and the new inspector would process vehicles at the same rate as the first (14 per minute). Required:
a. What would be the average length of the waiting line?
b. What would be the average time that a vehicle must wait to get through the system?
c. What proportion of the time would the inspection station be empty?
d. What is the average utilization of each inspector?

The business cycle is the periodic but irregular up-and-down movement in economic activity, measured by fluctuations in real gross domestic product (gdp) and other macroeconomic variables. a business cycle is typically characterized by four phases—recession, recovery, growth, and decline—that repeat themselves over time. economists note, however, that complete business cycles vary in length. the duration of business cycles can be anywhere from about two to twelve years, with most cycles averaging six years in length. some business analysts use the business cycle model and terminology to study and explain fluctuations in business inventory and other individual elements of corporate operations. but the term "business cycle" is still primarily associated with larger (industry-wide, regional, national, or even international) business trends.