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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?

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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Response is 173 words including computations.

$2.19