solve this graph therory problem Draw an example of each of the following on at least 3 vertices, or state it cannot exist. Brieflyjustify your answers. Bonus points for interesting examples.(a) A pseudograph with both an eulerian circuit and a Hamilton cycle(b) A regular pseudograph with both an eulerian circuit and a Hamilton path, but no Hamiltoncycle(c) A pseudograph with both an eulerian trail and a Hamilton path, but no eulerian circuitor Hamilton cycle(d) A pseudograph with an eulerian trail and an odd number of edges(e) A graph (not a pseudograph) with two Hamilton cycles that don't share any edges

a)Example: A triangle with a loop on one of the vertices.Justification:Eulerian Circuit: All…

Answered: Draw an example of each of the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 13P

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a) Suppose you walk into a large supermarket at 2 am with a friend. Your friend says, "I can't believe that these stores stay open all night. Only one out of fifteen checkout lines is open. There can't be more than ten shoppers in this store. It just doesn't make any sense for this store to be open all night." What conditions must be true for it to be to the advantage of the supermarket to stay open all night? b) Your friend has a large garden and grows fresh fruit and vegetables to be sold at a local "farmer's market." Last year your friend was the only worker in the garden, without any additional workers. However, this year your friend hired a worker and production more than doubled. He comments "Next summer, I think I'll hire another two workers (so total workers including myself would go up from 2 to 4) and my output should again more than double". Is it likely that he could hire more workers and always continue to reap greater than proportional increases in production? Why?
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PROBLEM 1b An automobile ignition connected to a Battery is modeled by the circuit below. C=F R = 3 Ω 3 V(0) 30V L=60mH i(0) = 2A + 20V C V(t) L ww R ww The switch has been open for a long time Find the voltage V(t) for t≥ 0 Show all work including all necessary characteristic equations and Boundary conditions
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