In the Erlang loss model, system A has 5 servers and an implied utilization of 125 percent,while system B has 15 servers and an implied utilization of 125 percent. Which of thefollowing statements is true?a. System A has the higher utilization because it has fewer servers relative to the potentialdemand.b. The two systems have the same utilization because they have the same implied utilization.c. System B has a higher utilization because the fraction of lost demand is lower in that system.d. More information is needed to determine which system has the higher utilization.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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In the Erlang loss model, system A has 5 servers and an implied utilization of 125 percent,
while system B has 15 servers and an implied utilization of 125 percent. Which of the
following statements is true?
a. System A has the higher utilization because it has fewer servers relative to the potential
demand.
b. The two systems have the same utilization because they have the same implied utilization.
c. System B has a higher utilization because the fraction of lost demand is lower in that system.
d. More information is needed to determine which system has the higher utilization.

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