The unloading dock at the warehouse of P&S Supermarket has two workers who unioad their own assigned truck respectively. The inter arrival time of trucks is exponential with a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. if a truck arrives and two workers are unloading other trucks, the arriving truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentialy any number of trucks waiting in the line. Hint You may use the formulas for M/M/2 Queuing Model) What is the total time that a truck spends in the system? Oa 1 hour Ob.0.2909 hour Oc 0.75 hour Od.0.3333 hour Oe. 0.1778 hour

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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The unloading dock at the warehouse of P&S Supermarket has two workers who unload their own assigned truck respectively. The inter arrival time of trucks is exponential with
a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. If a truck arrives and two workers are unloading other trucks, the arriving
truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentially any number of trucks waiting in the line. (Hint: You may use the
formulas for M/M/2 Queuing Model)
What is the total time that a truck spends in the system?
O a. 1 hour
Ob.0.2909 hour
Oc.0.75 hour
Od. 0.3333 hour
Oe. 0.1778 hour
Transcribed Image Text:The unloading dock at the warehouse of P&S Supermarket has two workers who unload their own assigned truck respectively. The inter arrival time of trucks is exponential with a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. If a truck arrives and two workers are unloading other trucks, the arriving truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentially any number of trucks waiting in the line. (Hint: You may use the formulas for M/M/2 Queuing Model) What is the total time that a truck spends in the system? O a. 1 hour Ob.0.2909 hour Oc.0.75 hour Od. 0.3333 hour Oe. 0.1778 hour
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