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Twelve Customers Arrive at the Lunch Counter at George's Happy

question 8

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Twelve customers arrive at the lunch counter at George's Happy Hog per hour and select the hickory smoked meat du jour along with a side and soda for $5. The server doubles as the cashier and can take and fill an order in three minutes on average. What is the lowest number n such that the likelihood of n or more customers in line and receiving service is 0? Assume that the arrival and service times can be assumed as exponentially distributed.


Definitions:

Endothermic

Describes a process or reaction that absorbs energy from its surroundings, typically in the form of heat.

Equilibrium Concentration

The concentration of reactants and products in a chemical reaction that remains constant over time at equilibrium.

Starting Concentrations

The initial amounts of reactants in a chemical reaction, usually expressed in molarity or mass.

ΔG°

The standard Gibbs free energy change, indicating the spontaneity of a reaction under standard conditions.

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