. At the Franklin Post Office, patrons wait in a singleline for the first open window. On average, 100 patronsenter the post office per hour, and each window canserve an average of 45 patrons per hour. The postoffice estimates a cost of $0.10 for each minute apatron waits in line and believes that it costs $20 perhour to keep a window open. Interarrival times andservice times are exponential.a. To minimize the total expected hourly cost, howmany windows should be open?b. If the post office’s goal is to ensure that at most 5%of all patrons will spend more than five minutes inline, how many windows should be open?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
. At the Franklin Post Office, patrons wait in a single
line for the first open window. On average, 100 patrons
enter the post office per hour, and each window can
serve an average of 45 patrons per hour. The post
office estimates a cost of $0.10 for each minute a
patron waits in line and believes that it costs $20 per
hour to keep a window open. Interarrival times and
service times are exponential.
a. To minimize the total expected hourly cost, how
many windows should be open?
b. If the post office’s goal is to ensure that at most 5%
of all patrons will spend more than five minutes in
line, how many windows should be open?
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