You are doing an industry analysis of the Bloomingtonpizza industry. The rate (per year) at which pizza restaurantsenter the industry is given by p, where p price of a pizzain dollars. The price of a pizza is assumed to be max(0,16 .5F), where F number of pizza restaurants inBloomington. During a given year, the probability that apizza restaurant fails is 1/(10 p). Create a birth–deathmodel of this situation.a In the steady state, estimate the average number ofpizza restaurants in Bloomington.b What fraction of the time will there be more than 20pizza restaurants in Bloomington?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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You are doing an industry analysis of the Bloomington
pizza industry. The rate (per year) at which pizza restaurants
enter the industry is given by p, where p price of a pizza
in dollars. The price of a pizza is assumed to be max(0,
16 .5F), where F number of pizza restaurants in
Bloomington. During a given year, the probability that a
pizza restaurant fails is 1/(10 p). Create a birth–death
model of this situation.
a In the steady state, estimate the average number of
pizza restaurants in Bloomington.
b What fraction of the time will there be more than 20
pizza restaurants in Bloomington?

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