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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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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
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