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JuiceIt sells cold-pressed, organic juice at a local farmer's market every weekend. To offer fresh juice, they make their famous Energy Boost on Saturday morning.

JuiceIt sells cold-pressed, organic juice at a local farmer's market every weekend. To offer fresh juice, they make their famous "Energy Boost" on Saturday morning. Each bottle of "Energy Boost" sells for $8.00 and costs $4.50 to make. Any bottles of "Energy Boost" left unsold on Saturday are re-stocked at a cost of $1.75 each and are sold the next day at a discounted price of $5.00. The demand for "Energy Boost" is Poisson distributed with a mean of 9.

What is the optimum quantity of "Energy Boost" bottles JuiceIt should make on Saturday morning?

Suppose JuiceIt prepares exactly 10 "Energy Boost" bottles on Saturday morning. What is its stock-out probability?

Suppose JuiceIt prepares exactly 10 "Energy Boost" bottles on Saturday morning. What is its expected fill-rate?

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