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The registration area has just opened at a large convention of building contractors in Banff. There are 200 people arriving per hour (Poisson distributed), and the cost of their waiting time in the queue is valued at $100 per person per hour. The local convention bureau provides servers to register guests at a fee of $15 per person per hour. It takes about 0.8 minutes to register an attendee (exponentially distributed). A single waiting line, with multiple servers, is set up.
a) What is the minimum number of servers for this system?
b) What is the optimal number of servers for this system?
c) What is the cost for the system, per hour, at the optimum number
of servers?
d) What is the server utilization rate with the minimum number of
servers?
Rational Self-Interest
The principle that individuals will make decisions that they perceive to be in their best interest, maximizing their utility or benefit.
Values
The importance, worth, or usefulness of something, often influencing individuals' choices and behaviors.
Sold
The past tense of sell, indicating the transfer of goods or services in exchange for money or other compensation.
Reservation Price
The maximum price that a buyer is willing to pay for a good or service, beyond which the buyer will choose not to purchase.
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