Terry runs a steak-burger shop near Winona, MN. Customers are waiting in a single waiting line served by a single kitchen (To simplify the matter, let’s assume that the order placement process is fast enough so that customers are being released at the same pace they arrive). The kitchen makes 18 burgers per hour. Recently, a highway is constructed near his burger shop so that the demand has increased substantially. Now he is looking at, on average, 4-minute inter-arrival time. His shop operates 8 hour a day. 1) About 1 in 4 customers will decide not to join the waiting line if they see the line has more than 4 people waiting. Each lost sales opportunity costs the business $20. Currently, how much is the total daily loss due to the long waiting line?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 52P
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1. Terry runs a steak-burger shop near Winona, MN. Customers are waiting in a single waiting line served by a single kitchen (To simplify the matter, let’s assume that the order placement process is fast enough so that customers are being released at the same pace they arrive). The kitchen makes 18 burgers per hour. Recently, a highway is constructed near his burger shop so that the demand has increased substantially. Now he is looking at, on average, 4-minute inter-arrival time. His shop operates 8 hour a day. 1) About 1 in 4 customers will decide not to join the waiting line if they see the line has more than 4 people waiting. Each lost sales opportunity costs the business $20. Currently, how much is the total daily loss due to the long waiting line?

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