Central University Uses $123,000 of a Particular Toner Cartridge for Laser

question 80

Essay

Central University uses $123,000 of a particular toner cartridge for laser printers in the student computer labs each year. The purchasing director of the university estimates the ordering cost at $45 and thinks that the university can hold this type of inventory at an annual storage cost of 22% of the purchase price of $1 each. How many months' supply should the purchasing director order at one time to minimize the total annual cost of purchasing and carrying?

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Definitions:

Probability

A numerical measure of the likelihood of a particular event occurring, expressed on a scale from 0 to 1.

Poisson Arrivals

A process that describes the probability of a given number of events happening in a fixed interval of time or space, assuming these events occur with a known constant mean rate and independently of the time since the last event.

Average Number

A value obtained by dividing the sum of all quantities in a dataset by the number of quantities in that dataset, commonly known as the mean.

FCFS

"First Come, First Served," a method of service in which requests are attended to in the order in which they are received.