The Orillia Title Company leases one copying machine for $45 per day that is used by all individuals at its office. An average of five persons per hour arrive to use this machine, with each person using it for an average of eight minutes. Assume that the interarrival times and copying times are exponentially distributed.
A. What is the probability that a person arriving to use the machine will find it idle?
B. On average, how long will a person have to wait before getting to use the machine?
C. On average, how many people will be using or waiting to use the copy machine?
D. Suppose that the people who use the copy machine are paid an average of $9 per hour. On average, how much does the company spend in wages during each eight-hour day paying the people who are using or waiting to use the copy machine?
E. If the company can lease another copying machine for $45 per day, should they do it?

Cooper sues company a in state court in south carolina, where he lives, for negligence alleging personal injury and property damage of $100,000 after a truck driven by an employee of company a rear-ended his pickup truck. company a is incorporated in delaware, has its headquarters in new york, but does a substantial amount of business in south carolina. claiming diversity of citizenship, company a seeks removal to federal district court, but cooper opposes the motion. which of the following is true regarding whether the case may be properly removed to federal district court? the amount in controversy satisfies diversity requirements; and if company a's nerve center is in a state other than south carolina, then the case may be properly removed to federal court.the amount in controversy satisfies diversity requirements; and because company a is incorporated and has its headquarters in a state other than south carolina, the case may be properly removed to federal court.because the amount in controversy satisfies diversity requirements and company a is incorporated in a state other than south carolina, the case may be properly removed to federal court regardless of where company a's headquarters, nerve center, or principal place of business is located.because the amount in controversy satisfies diversity requirements and company a is headquartered in a state other than south carolina, the case may be properly removed to federal court regardless of where company a is incorporated and regardless of the location of its nerve center.because the amount in controversy fails to satisfy jurisdictional requirements, regardless of the location of company a, the case may not be removed to federal court.