The post office has an average of 100 people per hour entering (with exponentially distributed interarrival times). They wait in a single line to approach the next available window. Each window can serve an average of 45 people per hour (also exponentially distributed). It costs $20 per hour to keep each window open, and $0.10 per minute for each person waiting in line. (a) How many windows should the postmaster keep open, assuming they want to reduce costs? (b) If the government demands that no more than 5% of people will spend more than 5 minutes

The post office has an average of 100 people per hour entering (with exponentially distributed interarrival times). They wait in a single line to approach the next available window. Each window can serve an average of 45 people per hour (also exponentially distributed). It costs $20 per hour to keep each window open, and $0.10 per minute for each person waiting in line. (a) How many windows should the postmaster keep open, assuming they want to reduce costs? (b) If the government demands that no more than 5% of people will spend more than 5 minutes

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(b) If the government demands that no more than 5% of people will spend more than 5 minutes

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