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What expected service rate should be established if the service duration would be distributed exponentially? What is the expected total system cost?

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The number of arrivals per period is distributed according to Poisson with an expected value of 0.75 units per period. The cost of waiting per unit per period is $3.20. The facility cost of serving one unit per period is $5.15. What expected service rate should be established if the service duration would be distributed exponentially? What is the expected total system cost?

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