At the order fulfillment center of a major mail-order firm, customer orders, already packaged for shipment, arrive at the sorting machine to be sorted for loading onto the appropriate truck for the parcel's address
The arrival rate at the sorting machine is at the rate of 100 per hour following a Poisson distribution. The machine sorts at the constant rate of 150 per hour.
a. What is the utilization rate of the system?
b. What is the average number of packages waiting to be sorted?
c. What is the average number of packages in the sorting system?
d. How long must the average package wait until it gets sorted?
e. What would Lq and Wq be if the service rate were exponential, not constant?
(a) The utilization rate is = 100/150 = 0.67 or 67 percent;
(b) Lq = [(100)(100)] / [2.(150)(50)] = .67;
(c) Ls = .67 + 100/150 = 1.33;
(d) Wq = 100 / [2.(150)(50)] = 0.0067 hours, or 0.4 minutes(e) Both values would be exactly doubled from the constant service rate results: Lq = 1.33 and Wq = .0133 hours
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In the realm of international law, _____ are found mainly in treaties, creates binding rights, prohibitions, and duties.
Fill in the blank(s) with the appropriate word(s).
Baner, a CPA, is preparing a tax return for Affleck, a new client. During the course of the interview, Baner asks to inspect Affleck's source documents. Affleck responds that the supporting information is not readily available but assures Baner that the summary information is reliable. Which of the following statements best describes how Baner should proceed?
A. Baner cannot accept Affleck's representations. The representations must be verifiable. B. Baner can accept the representations and explain to Affleck that the IRS's audit coverage is very low. C. Baner can automatically accept the representations, because a CPA is under no obligation to verify all client information. D. Baner can accept the representations but should make reasonable inquiries to determine if the information appears to be incorrect, incomplete, or inconsistent.